Drew wanted to determine whether there is a relationship between the quality of sneakers worn by volleyball players and their average number of points scored per game. Based on a random sample of 20 players, he found r = .21. He claimed that this provides evidence that better quality sneakers are related to better performance. How would you evaluate this claim?
Answers
Drew's claim that better quality sneakers are related to better performance is not supported by the statistically insignificant correlation coefficient (r = 0.21) found in his random sample of 20 volleyball players.
To evaluate Drew's claim that better quality sneakers are related to better performance, we need to analyze the correlation coefficient (r) and determine its statistical significance.
A correlation coefficient ranges from -1 to +1, where -1 represents a perfect negative correlation, 0 represents no correlation, and +1 represents a perfect positive correlation. In this case, Drew found a positive correlation of r = .21, indicating a weak positive relationship between the quality of sneakers and the average number of points scored per game.
To determine whether this correlation coefficient is statistically significant, we need to perform a hypothesis test. The null hypothesis (H0) is that there is no correlation between the quality of sneakers and the average number of points scored per game, and the alternative hypothesis (Ha) is that there is a correlation.
We can use a t-test to test the hypothesis. The test statistic is calculated as:
t = r * sqrt(n-2) / sqrt(1-r^2)
where n is the sample size.
Using a significance level of 0.05, we can compare the calculated t-value to the critical t-value from the t-distribution with n-2 degrees of freedom. If the calculated t-value is greater than the critical t-value, we reject the null hypothesis and conclude that there is a statistically significant correlation.
For a sample size of n = 20 and r = 0.21, the calculated t-value is 0.75. The critical t-value with 18 degrees of freedom (20-2) at a 0.05 significance level is 2.101.
Since the calculated t-value (0.75) is less than the critical t-value (2.101), we fail to reject the null hypothesis and conclude that there is insufficient evidence to support Drew's claim that better quality sneakers are related to better performance. In other words, we cannot say with confidence that there is a true correlation between the quality of sneakers and the average number of points scored per game based on this sample.
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Related Questions
Write Each Percent as a fraction in lowest terms
9%
34%
Answers
Answer:
9/100
17/50
Step-by-step explanation:
Answer:9% is in the simplest & 34 % is 17/50
cant simplify 9% bc both numbers don't have the same another number to divide them
34/100 divide both sides by 2 its 17/50
Suppose it costs $43 to roll a pair of dice. you get paid $6 times the sum of the numbers that appear on the dice. is it a fair game?
Answers
The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
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A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is
Answers
Answer:
32 pounds
Step-by-step explanation:
$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.
The first step would be to derived an equation
$3 + $0.75
3 + 0.75x
Where x = number of pounds
George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.
Hence,
3 + 0.75x = 27
0.75x + 3 = 27
0.75x = 27 - 3
0.75x = 24
x = 24/0.75
x = 32 pounds
The maximum number of pounds that this package could be is 32 pounds
Which expression give the volume of a sphere with radius 11 units ?
Answers
We are given to select the correct expression that gives the volume of a sphere with radius 11 units.
We know that the Volume of a sphere with radius 'r' units is given by
\(\text{V}=\dfrac{4}{3}\pi \text{r}^3\)
Here, the radius of the given sphere is
r = 11 units.Therefore, the volume of the sphere will be
\(\text{V}=\dfrac{4}{3}\pi \text{r}^3\)
\(\rightarrow\text{V}=\dfrac{4}{3}\pi (11)^3\)
Thus, the required expression is:
\(\boxed{\bold{\rightarrow V=\dfrac{4}{3}\pi (11)^3}}\)
In a two-factor analysis of variance, there are six subjects who each underwent three treatments. What are dfbetween subjects
Answers
Thus, the df between subjects is 5. This represents the variation between the individual subjects in the study, which helps in determining if the treatment effects are statistically significant or if the differences are due to random chance.
In a two-factor analysis of variance, the dfbetween subjects refer to the degrees of freedom associated with the differences between the group means. In this particular scenario where there are six subjects who each underwent three treatments, we can calculate the dfbetween subjects for each factor separately.
For the first factor (treatment), we have three levels. Therefore, the dfbetween subjects would be equal to the number of treatments minus one, which is 2.
For the second factor (subjects), we have six subjects. Therefore, the dfbetween subjects would be equal to the number of subjects minus one, which is 5.
To calculate df between subjects, you will use the following formula:
df between subjects = (number of subjects - 1)
In this case, there are six subjects, so the formula becomes:
df between subjects = (6 - 1)
Hence, the df between subjects is 5. This represents the variation between the individual subjects in the study, which helps in determining if the treatment effects are statistically significant or if the differences are due to random chance.
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Given the game with two playoff matrices G = G = ( ² −4) , H =(¯ ² 2). -4), -3 a) Find values of the games using analytical method, b) Approximate the solution
Answers
a. the value of the game for H is -2. b. the value of the game for H is approximately -3.
To find the values of the games using analytical method, we need to use the minimax theorem.
a) Analytical solution:
For matrix G, the row player (player 1) has two strategies: A and B, while the column player (player 2) also has two strategies: C and D. The payoff matrix for G is:
C D
A 2 -4
B -4 2
The expected value of the game for player 1 can be calculated as follows:
If player 1 chooses strategy A, the worst outcome is -4 (when player 2 chooses strategy D), so the minimum value for player 1 is 2.
If player 1 chooses strategy B, the worst outcome is -4 (when player 2 chooses strategy C), so the minimum value for player 1 is 2.
Therefore, the value of the game for G is 2.
For matrix H, the row player (player 1) has two strategies: E and F, while the column player (player 2) also has two strategies: G and H. The payoff matrix for H is:
G H
E -2 -4
F 4 2
The expected value of the game for player 1 can be calculated as follows:
If player 1 chooses strategy E, the worst outcome is -4 (when player 2 chooses strategy G), so the minimum value for player 1 is -2.
If player 1 chooses strategy F, the worst outcome is 2 (when player 2 chooses strategy G), so the minimum value for player 1 is 2.
Therefore, the value of the game for H is -2.
b) Approximate solution:
To approximate the solution, we can use the linear programming method. The game matrix can be represented as a system of linear inequalities, and the optimal solution can be found using the simplex algorithm. However, this requires knowledge of the probabilities of each player choosing their strategies, which may not be known.
Therefore, to make an approximate solution without knowing the probabilities, we can use the linear interpolation method. We can assume that each player chooses their strategies randomly with equal probability, and then find the expected payoff for each player. The value of the game can then be calculated as the average of these payoffs.
For matrix G, the expected payoffs for player 1 are:
If player 1 chooses strategy A: (2+(-4))/2 = -1
If player 1 chooses strategy B: ((-4)+2)/2 = -1
Therefore, the value of the game for G is approximately -1.
For matrix H, the expected payoffs for player 1 are:
If player 1 chooses strategy E: ((-2)+(-4))/2 = -3
If player 1 chooses strategy F: (4+2)/2 = 3
Therefore, the value of the game for H is approximately -3.
Note that the analytical solutions are exact, while the approximate solutions are only estimates based on certain assumptions.
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Determine the slow & y-intercept for the line shown. Then write the equation . If you hurry I’ll mark brainliest
Answers
Answer:
y = 3x + 4
Step-by-step explanation:
slope is 9/3 simplified to 3
y intercept is 4
83250/?=74*25
options are:
a) 50
b) 45
c) 40
d) 55
e) none of these
Answers
Answer:
B. 45
Step-by-step explanation:
Simplyfy 74*25
1850
Now blug in all the values for the "?".
83250/45=1850
This is the only value that staifies this equaton so therefore, B 45
Answer:
45.
Step-by-step explanation:
83250/x=74*25
83250/x=1850
1850 * x = 83250
x = 83250 /1850
= 45
Given that coule.us) - EILE DE M2)]. lajure the linearity rule and & (c) = c. to derive the equation for constate) in ternis of EA), Mj and H2(erive expression for cours, 34%, and 22 are independent random vartolus. f(x)= [ (x for 2 exc4 = 56) o elsewhere for a continuon ona random variable &. (a) Compute. P/2 ex <3). (6) Compute Elx), the mean of t. (8) Given (6) For some other random variable & My (t) = e. Determine the mean Ele) for this other random variable. (5* +32+) P.
Answers
(a) The probability that X is less than 3, P(X < 3), is 0.
(b) The mean of X, denoted as E(X), is 71/24, which is approximately 2.9583 when rounded off to four decimal places.
(c) Given Y = e^X, the mean of Y, denoted as E(Y), is approximately 15.75 when rounded off to two decimal places.
(a) It is required to compute P(X<3). Since the range for which f(x) is not equal to 0, is the interval from 2 to 4 for f(x), the probability that X is less than 3 is 0.
Similarly, for X > 4, P(X > 4) = 0.
P(2 ≤ X ≤ 4) = ∫f(x)dx from 2 to 4= ∫ (x/24 - 7/3) dx from 2 to 4= [x^2/(2 × 24) - 7x/3] from 2 to 4= 1/4 - 28/3 + 8/(2 × 24) + 14/3= 71/24= 2.9583(rounded off to four decimal places)
(b) The mean of X can be computed as follows:
E(X) = ∫xf(x)dx from -∞ to ∞= ∫ (x/24 - 7/3) dx from 2 to 4= [x^2/(2 × 24) - 7x/3] from 2 to 4= 1/4 - 28/3 + 8/(2 × 24) + 14/3= 71/24= 2.9583(rounded off to four decimal places)
(c) Y = e^X
The mean of Y can be computed as follows:
E(Y) = E(e^X)= ∫ e^x f(x) dx from -∞ to ∞= ∫ e^x (x/24 - 7/3) dx from 2 to 4= [e^x (x - 31)/(24)] from 2 to 4= (e^4/6 - 31e^4/24 - e^2/6 + 31e^2/24) ≈ 15.75(rounded off to two decimal places).
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Someone plz help me :(
Answers
Pretty sure it's A C D.
Dabriah had 3 bags of cookies containing x cookies each. Her friend gave her 7 more cookies. Write an expression for this situation 3b + 7c b) If there are 9 cookies in each bag, how many cookies does Dabriah have in total?
Answers
Answer: 34 delicious cookies.
Step-by-step explanation:
(look in attachment for explanation)
Im? Why
EXERCISE 5.2
3
1. State the property that is used in each of the
following statements
$
) If all, then ZI=25.
(i) If 24=26, then allb.
m If 24+25= 180°. then all b.
Answers
Answer:
z=21 24=25=180
24+25=600
24×25=600
what percentage of the fire fighters in the sample have moderate to severe risk for alcohol problems?
Answers
The percentage of the fire fighters have moderate to severe risk for alcohol problems is 28%
From the sample, we can get that number of fire fighters who participated in rescue of 9/11 attack and are under moderate to severe risk for alcohol problems is =309.
Total number of fire fighters participated in 9/11 attack is =1102
So, percentage of fire fighters have moderate to severe risk for alcohol problems are =(309/1102)×100
percentage from the sample= 0.28×100=28%
Hence, 28% fire fighters are in severe risk for alcohol problems
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(Complete question) is:
what percentage of the fire fighters in the sample have moderate to severe risk for alcohol problems?
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
Answers
the annual premium for a Whole Life insurance police is $2,881.61. Option A.
How do we calculate the annual premium for a Whole Life insurance police?For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.
The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.
Annual premium = $162,253/ 1000 x 17.76
= $2,881.61
The above exercises is from the question provided in the picture;
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
Permanent Insurance
Age Whole Life 20-Payment Life 20-Year Endowment
M F M F M F
25 $16.38 $14.38 $28.40 $25.04 $37.02 $34.87
26 $16.91 $14.77 29.11 25.96 37.67 35.30
27 $17.27 15.23 29.97 26.83 38.23 35.96
28 17.76 15.66 30.68 27.54 38.96 36.44
a. $2,881.61
c. $6,321.38
b. $4,977.92
d. $6,438.20
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Find the mean absolute deviation of the set of data.
1, 4, 7, 8, 10
Answers
Answer:
2.8
Step-by-step explanation:
Answer:
2.8 is the MAD
6 is the mean
X+20+x+48=180 can someone plz answer
Answers
Answer:
x = 56
Step-by-step explanation:
Step 1: Write out equation
x + 20 + x + 48 = 180
Step 2: Combine like terms (x)
2x + 20 + 48 = 180
Step 3: Combine like terms (constants)
2x + 68 = 180
Step 4: Subtract 68 on both sides
2x = 112
Step 5: Divide both sides by 2
x = 56
6- Karen is making a frame for a square picture with an area of 169 square inches. How
many inches of framing are needed?
a) 13
b) 14
c) 15
d) 16
PLEASE HURRY! I WILL MARK YOU BRAINLIST OR WHATEVER... IF YOU DO IT PLEASE
Answers
Answer: a
Step-by-step explanation:
Tell me if it is correct
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answers
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
If the point (2k− 3,k + 2) is a solution of linear equation 2x + 3y + 15 = 0, find the value of k.
Answers
Answer:
value of k = -15/7
Step-by-step explanation:
...........
k + 3 ——> y-coordinate
2x + 3y + 15 = 0
Sub (2k-3 , k+2) into the equation,
2(2k - 3) + 3(k + 2) + 15 = 0
4k - 6 + 3k + 6 + 15 = 0
4k + 3k = 0 - 15 - 6 + 6
7k = -15
k = -15/7
help its mathnnnnnnnnnnnnnnnnnnnnnnn
Answers
Answer:
1
Step-by-step explanation:
6 ÷ 2(1 + 2) ; use "please excuse my dear aunt sally", please for parenthesis
6 ÷ 2(3); now do "my" for multiplication
6 ÷ 6 ; now do "dear" for division
1
The price of an item yesterday was $130. Today, the price rose to $299. Find the percentage increase.
Answers
130%
Step-by-step explanation:
(299 - 130)/130 × 100%
= 169/130 × 100%
= 169/13 × 10%
= 13 × 10%
= 130%
Try It
Which are solutions of the equation 4x² - 7x= 3x + 24? Check all that apply.
Answers
We get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.
We are given an equation:
4 x² - 7 x = 3 x + 24
We need to solve it for x.
4 x² - 7 x - 3 x = 24
4 x ² - 10 x = 24
4 x ² - 10 x - 24 = 0
4 x² - 16 x + 6 x - 24 = 0
4 x( x - 4) + 6( x - 4) = 0
(x - 4)(4 x + 6) = 0
Solving for x, we get that:
x = 4 or x = 6 / 4 = 3 / 2.
Therefore, we get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.
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Vince has ½ ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?
Answers
Given:
Vince has 1/2 ton of gravel.
It is to be spread equally in 8 square yards.
To find:
How many tons of gravel will be spread in each square yard?
Solution:
Total gravel = 1/2 ton
To be spread equally in 8 square yards.
No. of tons of gravel will be spread in each square yard = (1/2) / 8 = 1/16 tons.
Therefore, 1/16 tons of gravel will be spread in each square yard.
Answer:
Given:
Vince has 1/2 ton of gravel.
It is to be spread equally in 8 square yards.
To find:
How many tons of gravel will be spread in each square yard?
Solution:
Total gravel = 1/2 ton
To be spread equally in 8 square yards.
No. of tons of gravel will be spread in each square yard = (1/2) / 8 = 1/16 tons.
Therefore, 1/16 tons of gravel will be spread in each square yard.
Step-by-step explanation:
suppose one of the six is a doctor who must sit on the aisle in case she is paged. how many ways can the people be seated together in the row with the doctor in an aisle seat?
Answers
We make use of permutation formula to find out that there are a total of 240 ways in which the people can be seated together in the row with the doctor in an aisle seat.
It is given to us that -
There are six people
One of the six is a doctor who must sit on the aisle in case she is paged.
We have to find out the number of ways in which the people can be seated together in the row with the doctor in an aisle seat.
From the given information it is known that the doctor is seated in an aisle seat.
So, the doctor can be seated in the extreme left side of the aisle. This implies that in this case, the total ways to be seated = 5!.
Similarly, it can also be said that the doctor can be seated in the extreme right side of the aisle. This implies that in this case, the total ways to be seated = 5!.
Thus, the total number of ways in which the people can be seated together in the row with the doctor in an aisle seat = 2 * 5!
= 2 * 5 * 4 * 3 * 2 * 1
= 240 ways
Therefore, through permutation we can conclude that there are a total of 240 ways in which the people can be seated together in the row with the doctor in an aisle seat.
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Please hurry i want the answer of this question please
Answers
\(\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}\)
Evaluate the upper and lower sums for
f(x) = 2 + sin x, 0 ≤ x ≤ pi , with n = 8. (Round your answers to two decimal places.)
Answers
Okay, here are the steps to find the upper and lower sums for f(x) = 2 + sin x on the interval [0, pi] with n = 8:
Upper sum:
1) Partition the interval into 8 subintervals of equal length: [0, pi/8], [pi/8, 2pi/8], ..., [7pi/8, pi]
2) Evaluate the maximum of f(x) on each subinterval:
[0, pi/8]: f(0) = 2
[pi/8, 2pi/8]: f(pi/8) = 2.3094
[2pi/8, 3pi/8]: f(3pi/8) = 2.3536
[3pi/8, 4pi/8]: f(pi/2) = 2
[4pi/8, 5pi/8]: f(5pi/8) = 2.3094
[5pi/8, 6pi/8]: f(3pi/4) = 2.2079
[6pi/8, 7pi/8]: f(7pi/8) = 2.3536
[7pi/8, pi]: f(pi) = 3
3) Multiply the maximum f(x) value on each subinterval by the width of the subinterval (pi/8) and add up:
2 * (pi/8) + 2.3094 * (pi/8) + 2.3536 * (pi/8) + 2 * (pi/8) + 2.3094 * (pi/8) +
2.2079 * (pi/8) + 2.3536 * (pi/8) + 3 * (pi/8) = 2.8750
Therefore, the upper sum is 2.87 (rounded to 2 decimal places).
Lower sum:
Similar steps...
The lower sum is 2.28 (rounded to 2 decimal places).
So the upper sum is 2.87 and the lower sum is 2.28.
The width of each subinterval is Δx = (pi - 0) / 8 = pi / 8.
The endpoints of the subintervals are:
x0 = 0, x1 = pi / 8, x2 = 2pi / 8, x3 = 3pi / 8, x4 = 4pi / 8, x5 = 5pi / 8, x6 = 6pi / 8, x7 = 7pi / 8, x8 = pi.
The value of f(x) at the endpoints of the subintervals are:
f(x0) = 2 + sin 0 = 2
f(x1) = 2 + sin(pi / 8) ≈ 2.38
f(x2) = 2 + sin(2pi / 8) = 2 + sin(pi / 4) ≈ 2.71
f(x3) = 2 + sin(3pi / 8) ≈ 2.93
f(x4) = 2 + sin(4pi / 8) = 2 + sin(pi / 2) = 3
f(x5) = 2 + sin(5pi / 8) ≈ 2.93
f(x6) = 2 + sin(6pi / 8) = 2 + sin(3pi / 4) ≈ 2.71
f(x7) = 2 + sin(7pi / 8) ≈ 2.38
f(x8) = 2 + sin pi = 2
The lower sum for f(x) is given by:
L = Δx [f(x0) + f(x1) + f(x2) + f(x3) + f(x4) + f(x5) + f(x6) + f(x7)]
L = (pi / 8) [2 + 2.38 + 2.71 + 2.93 + 3 + 2.93 + 2.71 + 2.38]
L ≈ 21.13
The upper sum for f(x) is given by:
U = Δx [f(x1) + f(x2) + f(x3) + f(x4) + f(x5) + f(x6) + f(x7) + f(x8)]
U = (pi / 8) [2.38 + 2.71 + 2.93 + 3 + 2.93 + 2.71 + 2.38 + 2]
U ≈ 21.98
Therefore, the lower sum for f(x) is approximately 21.13 and the upper sum is approximately 21.98.
May I please get help with this math problem I have tried several times but still couldn’t find the right answer
Answers
According to the Triangle Inequality Theorem, the sum of the lengths of two sides of a triangle is greater than the length of the third side of the triangle.
In this case, you know the lengths of two sides of the triangle, and you also know that "x" represents the length of the third side. Then, you can set up the following:
\(13+19>x\)Solving the inequality, you get:
\(\begin{gathered} 32>x \\ \end{gathered}\)You can rewrite it as:
\(x<32\)Hence, the answer is:
\(x<32\)-7 + (-9) - (-11) -2
Answers
select the domain and range of each relation. { ( 0 , 2 ) , ( 1 , 3 ) , ( 2 , 4 ) , ( 3 , 5 ) , ( 4 , 6 ) }
Answers
The domain and range of the given relation { ( 0 , 2 ) , ( 1 , 3 ) , ( 2 , 4 ) , ( 3 , 5 ) , ( 4 , 6 ) } are as follows: Domain: {0, 1, 2, 3, 4}, Range: {2, 3, 4, 5, 6}.
The domain represents the set of all input (x) values, while the range represents the set of all output (y) values in the relation. The given set of ordered pairs is a relation. The first coordinate in each pair is the input, also known as the domain, and the second coordinate is the output, also known as the range.
Domain: { 0, 1, 2, 3, 4 }
Range: { 2, 3, 4, 5, 6 }
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What is the area of the figure?
Answers
Answer:
3400
Step-by-step explanation:
60 * 70 = 4200
70 - 10 - 20 = 40
20 * 40 = 800
4200 - 800 = 3400
Answer:
3,400
Step-by-step explanation:
I did 70 times 60 which gave me 4,200 then with the 10 and 20 I subtracted it to 70 and did 20 times 40 that gave me 800 then subtracted that by 4200 then it gave me 3,400.