Imagine that there are 100 different researchers each studying the sleeping habit of a college freshman. Each researcher takes a random sample size of 50 from the same population of freshman. Each researcher is trying to estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean. Approximately how many of these 100 confidence will not capture the true mean
Answers
Answer:
Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.
Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.
And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.
In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.
Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Related Questions
What is the value of S4 for
0 554
O
64
O
(J1
14
O 516
05/0
O
56
n-1
24 (1)
n=1
?
Answers
Answer: It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.
Step-by-step explanation:
Which list contains values that are all part of the solution set of the graphed inequality?
2, 1, 3.9, 4
1.3, 4, 0, 2.6
1.1, 1.5, 19.7, 8.2
11, 1, 48.5, 7
Answers
Answer:
you're answer will be C.
Step-by-step explanation:
have a great day or night✨
Answer:
C. 1.1, 1.5, 19.7, 8.2
Step-by-step explanation:
There are 3 lie detectors
Answers
Answer:
There are 3 lie detectors each of which accurate 70% of time what is the
Step-by-step explanation:
There are 3 lie detectors each of which accurate 70% of time what is the combined accuracy of the three lie detectors put together? (In the case where two lie detector predict one result and the third predicts an opposite result the result of the two detector giving same result will be considered )
Show the algorithm/abstract strategy to justify the 3/5?
Answers
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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help me answer this please
Answers
Answer:
Step-by-step explanation:
1, 3, 4, 5, 2, 6, 7
what are two ratios that are equivalent to 12:13?
Answers
Answer:
24:26 and 36:39 are two ratios that are equivalent to 12:13.
Step-by-step explanation:
98 x 24 = (100 - 2 ) x 24 = ?
Answers
Answer:
2352
Step-by-step explanation:
(100 - 2) x 24 = 2400 - 48 = 2352
Todd is 33 years old; his nephew Jacob is 12. in how many years will Jacob be 1/2 his uncle Todd’s age.
answer = 9
Answers
In 37 years and 6 months, Jacob will be 1.5 years older than his uncle Todd.
Find the solution ?In 37 years and 6 months, Jacob will be 1.5 years older than his uncle Todd.
Hello, using the information provided, write an equation to get the answer to this question:
33 years old Todd
12 years old Jacob
So, Jacob's age plus the amount of years asked equals 1.5 Todd's age (1.5 x 33).
(12+x)
12 +x = 1.5 (33) (33)
working out x
12 +x = 49.5
x= 49.5 -12
: x = 37.5 years
Given that 12 months make up a year, 0.5 years is equal to half a year.
12 times 0.5 years equals 6 months.
In 37 years and 6 months, Jacob will be Todd's age by a factor of 1.5.
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What is the slope of the line?
m=?
Answers
Answer:
m=1/3
Step-by-step explanation:
slope is rise over run
go up 1 over 3
2=(-3)+5x
Solve for x
Answers
Answer: x=1
Step-by-step explanation: I don't know how to explain it.
Answer:
x = 1
Step-by-step explanation:
First, add 3 to both sides to isolate the variable. This leaves us with the following:
5 = 5x
Now, divide both sides by 5. This leaves us with our answer:
x = 1
Need some help thanks
Answers
In the given equations, the value of variables are:
(A) a = -10(B) b = -0.2(C) c = 0.25What exactly are equations?When two expressions are equal in a mathematical equation, the equals sign is used to show it.A mathematical statement is called an equation if it uses the word "equal to" in between two expressions with the same value.Using the example of 3x + 5, the result is 15.There are many different types of equations, such as cubic, quadratic, and linear.The three primary categories of linear equations are point-slope, standard, and slope-intercept equations.So, solving for variables:
(A) 1/5a = -2:
1/5a = -2a = -2 × 5a = -10(B) 8 + b = 7.8:
8 + b = 7.8b = 7.8 - 8b = -0.2(C) -0.5 = -2c:
-0.5 = -2cc = -0.5/-2c = 0.25Therefore, in the given equations, the value of variables are:
(A) a = -10(B) b = -0.2(C) c = 0.25Know more about equations here:
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Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Answers
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
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A typical tip in a restaurant is 15% of the total bill.if the bill is 60$ what would the typical tip be
Answers
Answer:
60(.15)= 9
answer is 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
A coral reef grows 0.14 m every week. How much does it grow in 13 weeks?
Answers
Answer: 1.82 m
Step-by-step explanation:
Ratios
0.14 n 0.14 x 13 = 1.82
1. 13 1.82/1 = 1.82
Please help me with this question
:)
Answers
Answer:
Sure I will!
Step-by-step explanation:
13 = 85-|9t|
|9t| = 72
9t = 72 or -9t = 72
t = 8 or t = -8
Value of t should be 8 ..
Explanation :\( putting \:t \:=\:8\: in \: place \:of\:t \)
so ,
equation given is .
\(⟶\:13\:-\:85\: = \:|9t|\)
\(⟶\:13\:-\:85\: = \:|9t|\)
\(⟶\:72 \:= \: |9t|\)
\(⟶\:72\: = \:9t\)
\( ⟶\:\frac{72}{9}\:=\:t \\ \)
\( ⟶\:8\:=\:t\)
\( ⟶\:t\:=\:8\)
\(\large{\color{cyan}{Hence\:\:\:t\:=\:8}} \)
please help with this two thank you
Answers
Answer:
Part 1
a) Greatest possible weight range of gorillas = 60 kg.
b) 20 gorillas weigh 80 kg or less.
c) Midpoint weight of the modal group = 105 kg.
d) The estimate of the mean gorilla weight = 99 kg.
Part 2
a) The greatest range of the lengths of snakes = 250 cm.
b) 40 snakes have lengths between 1.5 m and 2.5 m.
c) Midpoint length of the modal group = 175 cm.
d) The estimate of the mean gorilla length = 154 cm.
Step-by-step explanation:
Part 1 - The Gorilla part
a) Greatest possible weight range of gorillas = (Maximum weight of gorillas on the table) - (Minimum weight of gorillas on the table)
= 120 - 60 = 60 kg
b) How many gorillas weigh 80 kg or less
6 gorillas weigh between 60 < W ≤ 70
14 gorillas weigh between 70 < W ≤ 80
So, 6 + 14 = 20 gorillas weigh 80 kg or less.
c) Midpoint weight of the modal group
To find the modal class, we first use (n+1)/2 th
where N = number of variables = 160
Modal weight will be (160+1)/2 = 80.5 weight
The 80.5th weight is in the 100 to 110 class. This is how we know
6 + 14 + 22 + 34 = 76
Indicating that the 80.5th weight is in the next class (100 < W ≤ 110)
The midpoint weight of the modal class is then
(100+110)/2 = 105 kg
d) To calculate the mean weight, we use the midpoint theory where we replace all the groups with the midpoint weight of each weight class.
Midpoint weight is W, frequency is f
W | f
65 | 6
75 | 14
85 | 22
95 | 34
105 | 40
115 | 44
The mean is given as
Mean = (Σfx)/(Σf)
Σfx = (65×6) + (75×14) + (85×22) + (95×34) + (105×40) + (115×44) = 15800
Σf = 160
Mean = (15800/160) = 98.75 kg = 99 kg to the nearest whole number.
Part 2 - The Snake part
a) Greatest possible range of lengths of snakes = (Maximum length of snakes on the table) - (Minimum length of snakes on the table)
= 250 - 0 = 250 cm
b) How many snakes are between 1.5 m and 2.5 m in length?
1.5 m = 150 cm, 2.5 m = 250 cm
19 snakes have lengths between 150 < L ≤ 200
21 snakes have lengths between 200 < L ≤ 250
So, 19 + 21 = 40 snakes have lengths between 1.5 m and 2.5 m
c) Midpoint length of the modal group
To find the modal class, we first use (n+1)/2 th
where N = number of variables = 72
Modal length will be (72+1)/2 = 36.5th length
The 36.5th length is in the 150 to 200 class. This is how we know
4 + 11 + 17 = 32
Indicating that the 36.5th length is in the next class (150 < L ≤ 200)
The midpoint length of the modal class is then
(150+200)/2 = 175 cm
d) To calculate the mean length, we use the midpoint theory where we replace all the groups with the midpoint length of each length class.
Midpoint length is L, frequency is f
L | f
25 | 4
75 | 11
125 | 17
175 | 19
225 | 21
The mean is given as
Mean = (Σfx)/(Σf)
Σfx = (25×4) + (75×11) + (125×17) + (175×19) + (225×21) = 11100
Σf = 72
Mean = (11100/72) = 154.167 cm = 154 cm to the nearest whole number.
Hope this Helps!!!
PLEASE HELLP ASAP!!!
Answers
The quadratic function graphed is defined as follows:
y = x² - 10x + 9.
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
From the graph, the roots are given as follows:
x = 1 and x = 9.
Hence the function as a product of it's linear factors is defined as follows:
y = a(x - 1)(x - 9)
y = a(x² - 10x + 9).
When x = 5, y = -16, hence the leading coefficient a is obtained as follows:
-16 = a(5² - 10(5) + 9)
-16a = -16
a = 1.
Thus the function is:
y = x² - 10x + 9.
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Determine the 20th term of the sequence:-14,-8, -2, 4, 10, ...
Answers
Answer:
100
Step-by-step explanation:
add 6 20 times (-14,-8,-2,4,10,16,22,28,34,40,46,52,58,64,70,76,82,88,94,100)
Answer:
100.
Explanation:
Here the sequence is;
-14,-8,-2,4,10....
Since the common difference is 6, its n term must be generated by 6n. But the first term is -14. so, the nth term must be 6n-20.
Because,
t1 = 6×1-20 = -14
t2 =6x2-20= -8
t3 = 6×3-20= -2
Similarly
nth term = 6n-20.
so,
t20 = 6×20 -20= 120 -20 =100.
Hope it will be helpful.
Carey correctly graphs a linear function. The slope of the function is -1. The y-intercept is 3. Which is careys graph?
Answers
Answer:
graph 1
Step-by-step explanation:
it intercepts on 3 of the Y axis as well as having a negative slope of 1
Answer:
graph one
Step-by-step explanation:
Verify that the given point is on the curve and find the lines that are a. tangent and b. normal to the curve at the given point.
Answers
Answer:
4, -4, 16, 16, truetangent: x - y = 8normal: y = -xStep-by-step explanation:
You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.
PointThe point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.
(a) TangentThe tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...
m = y/x = -4/4 = -1
The tangent line's slope is the opposite reciprocal of this:
m = -1/(-1) = 1
The point-slope form of the equation for the tangent line is ...
y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)
y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)
x -y = 8 . . . . . . . . . . add 4-y to put in standard form
The equation of the tangent line is x - y = 8.
(b) NormalIn the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...
y -0 = -1(x -0)
y = -x
The equation of the normal line is y = -x.
__
Additional comment
The normal line can also be written as x + y = 0.
The tangent line can also be written as y = x -8.
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Find the area of this parallelogram.
6 cm
11 cm
Answers
Step-by-step explanation:
given,
base( b) = 6cm
height (h)= 11cm
now, area of parallelogram (a)= b×h
or, a = 6cm ×11cm
therefore the area of parallelogram (p) is 66cm^2.
hope it helps...
Determine if the ratios are equivalent: 12:16 and 72:96 *
10 points
Equivalent
Not Equivalent
Answers
Answer:
Step-by-step explanation:
12 : 16
Both have 4 in common
3 : 4
72 : 96
Both have 12 in common
6 : 8
Both have 2 in common
3 : 4
So both the ratios are equivalent
the possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the __
Answers
The possibility that experimental results are due to chance or some factor other than the experimental variable is measured by the p-value.
The p-value is a statistical measure that provides information about the likelihood of obtaining a particular result due to random chance or some factor other than the experimental variable. In experimental design, a null hypothesis is usually assumed, which states that there is no relationship between the independent and dependent variables. The p-value is then used to assess the strength of evidence against this null hypothesis.
A p-value is calculated based on the data obtained from an experiment and the assumptions of the statistical test used. It is a number between 0 and 1, and it represents the probability of obtaining a result as extreme or more extreme than what was actually observed, given that the null hypothesis is true.
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If one wanted to solve the equation below using the quadratic formula, what would be the b value used to substitute into the quadratic equation.
3x 2 − 2 = - 5x
Answers
Answer:
b = 5
Step-by-step explanation:
All quadratic equations are formed in the format of \(a^{2}\) + bx + c = 0
Using this formula, we can re-arrange the equation to fit the given format.
\(3x^{2}\) - 2 = -5x
\(3x^{2}\) + 5x - 2 = 0
5 is plugged in for "b" in this equation, therefore b = 5.
brain liest for you7. On a hike, Peter walked 28 km in 7 h.
a) What was his average rate of walking?
b) Suppose that he walked the 28 km in
8 h. What would his average rate of
walking be? do only b
Answers
Answer:
b)3.5km per hour
Step-by-step explanation:
Answer:
a) 4km an hour
b) 3.5km an hour
Step-by-step explanation (only for b):
The answer is 3.5 kilometers because if he walked 28 kilometers in 8 hours, that means he walked an average of 28/8 km in 8/8 hours, or 3.5 kilometers in 1 hour.
what is 12% of $5000 for 3yrs
Answers
Answer:
$7,025
Step-by-step explanation:
The Price of Pollo
In El Salvador, "Country Chicken" is the most popular fried chicken franchise
in the country. Like most fast-food establishments, they provide a carry-out
service on their menu. You can buy their chicken in several different
quantities: 2, 6, 9, 15, or 21 pieces per box.
Over the years, prices have steadily risen, as things have a way of doing in
many areas of modern life. For example, on July 1, 1993, a box of two
pieces cost 8.35 colones, and on December 31, 1995, that same purchase
would cost you 11.25 colones.
(Note: prices are given in their original Salvadorean currency, colones; $1 U.S
colones.)
Using these two data 'points', you can form a linear equation of the slope-inter
mx + b. The independent variable x is time; the dependent variable y represe
Your task for this problem is to:
1. Find this equation.
2. Use your equation to predict what the price should have been for a 2
July 1, 1999.
Answers
Answer:
Hope I helped!~
Step-by-step explanation:
To find the equation of the line, we can use the slope-intercept form of the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Using the two data points given, we can calculate the slope:
m = (11.25 - 8.35) / (1995 - 1993) = 1.95
To find the y-intercept, we can use one of the data points:
8.35 = 1.95(1993) + b
b = -3884.65
So the equation of the line is:
y = 1.95x - 3884.65
To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:
y = 1.95(6) - 3884.65
y = 11.7 - 3884.65
y = -3872.95
This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.
Hi I need help.
An education reform lobby is compiling data on the state of education in the United States. In their research they looked at the percent of people who graduate high school in 10 different states. The data are provided below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the sample standard deviation and the sample variance.
Round your answers to one decimal place.
High School Graduation Rate (%)
77.1
82.9
90
91.3
81.9
83.3
84.9
82.5
84.6
Answers
The sample variance and standard deviation are given as follows:
Variance = 87.22 %.
Standard deviation = 9.34%.
To obtain the variance and the standard deviation first, we must obtain the mean, which is given by the sum of all observations divided by the number of observations, hence:
Mean = (77.1 + 82.9 + 90 + 91.3 + 81.9 + 83.3 + 84.9 + 82.5 + 84.6)/10
Mean = 75.85.
Then we must obtain the sum of the differences squared between each observation and the mean, as follows:
(77.1 - 75.85)² + (82.9 - 75.85)² + (90 - 75.85)² + (91.3 - 75.85)² + (81.9 - 75.85)² + (83.3 - 75.85)² + (84.9 - 75.85)² + (82.5 - 75.85)² + (84.6 - 75.85)² = 784.9825
The sample variance is given by the above sum divided by one less than the sample size, hence:
Variance = 784.9825/9
Variance = 87.22 %.
The standard deviation is the square root of the variance, hence:
Standard deviation = sqrt(87.22)
Standard deviation = 9.34%.
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can someone help me with this thanks
Answers
Answer:
it is E
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The definition of a secant is : A straight line or ray that intersects a curve, especially a circle, at two or more points. On this problem ray AB is a secant. So the answer is D.
g Perform the appropriate test at a 5% significance level if the number of accidents occurs uniformly for all days of the week. State the null hypothesis. Report the value of the test statistic, the critical value(s), the p-value and state your decision.
Answers
\(\bold\green{y = -}\)\( \green{\tt \dfrac{5}{9}x + 2} \)