Suppose that the starting salary offered to graduates who majored in psychology is $47,507.
Assume that X, the starting salary offer for psychology majors, is normally distributed with a mean of $47,507 and a standard deviation of $5,000.
A friend tells you that his friend, a psychology major, received a starting salary offer of $38,000. You think this number sounds low and wonder whether your friend was mistaken. Use the logic of hypothesis testing to evaluate whether you believe your friend was mistaken.
The z score of a starting salary of $38,000 is .
The probability that a psychology major received a starting salary offer lower than $38,000 is .
Using a significance level of .05, you ___ (can / cannot) conclude that your friend is mistaken.
Answers
To evaluate whether your friend was mistaken about the starting salary offer of $38,000 for a psychology major, you can use hypothesis testing.
Assuming the starting salaries for psychology majors are normally distributed with a mean of $47,507 and a standard deviation of $5,000, you can calculate the z-score for $38,000 and determine the probability of obtaining a starting salary lower than that. With a significance level of 0.05, you can then conclude whether your friend's claim is plausible.
To assess whether your friend's claim of a starting salary offer of $38,000 for a psychology major is plausible, you can use hypothesis testing.
First, we calculate the z-score for $38,000 using the formula:
z = (X - μ) / σ
where X is the value ($38,000), μ is the mean ($47,507), and σ is the standard deviation ($5,000).
Substituting the values, we get:
z = (38,000 - 47,507) / 5,000 = -1.9014
Next, we want to find the probability of obtaining a starting salary lower than $38,000, which corresponds to the cumulative probability to the left of the z-score. Using the standard normal distribution table or a statistical calculator, we can find this probability. Let's assume it is denoted as p.
Finally, we compare the obtained p-value with the significance level of 0.05. If the p-value is less than 0.05, we can conclude that the starting salary of $38,000 is significantly lower than expected, and there is evidence to support the claim that your friend was mistaken. On the other hand, if the p-value is greater than or equal to 0.05, we fail to reject the null hypothesis and cannot conclude that your friend was mistaken. In this case, you would need to provide the actual p-value to determine whether you can conclude that your friend's claim is mistaken.
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Related Questions
are the two triangles similar? if so, state the reason and the similarity statement. question 9 options: a) impossible to determine. b) yes; aa; δigf ∼ δmnl c) yes; sas; δigf ∼ δmnl d) the triangles are not similar.
Answers
The correct answer is B) Impossible to determine.
Based on the given information "W 8 Y 2 Z," it is not possible to determine whether the two triangles are similar or not. In order to determine the similarity of triangles, we need additional information such as the measurements of their angles and sides.
The options provided are:
A) Yes; SSS; A VWX - AYZX
B) Impossible to determine.
C) Yes: SAS; AVWX - AYZX
D) The triangles are not similar.
However, none of these options can be determined solely based on the given information. The option A suggests that the triangles are similar based on the Side-Side-Side (SSS) similarity criterion and the similarity statement "A VWX - AYZX." However, we don't have any information about the lengths of the sides of the triangles, so we cannot conclude whether the SSS criterion is met.
Therefore, the correct answer is B) Impossible to determine.
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Suppose there are two triangles with no measurements, angles and sides. Then, W 8 Y 2 Z Are the two triangles similar? If so, state the reason and the similarity statement. A) Yes; SSS; A VWX - AYZX B) Impossible to determine. C) Yes: SAS; AVWX - AYZX D) The triangles are not similar.
Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is the probability that at most 8 of them take the bus to school?
77.9%
90.4%
22.5%
92.5%
Answers
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
How to find the probability?
We know that roughly 75% of the students take the bus, then, if we select a student at random.
There is a probability of 0.75 that the student takes the bus.There is a probability of 0.25 that the student does not take the bus.The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:
p = (0.75)^9 = 0.075
Then we have:
P = 1 - 0.075 = 0.925
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
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HELP PLZ WILL GIVE BRAINLIST
Answers
Answer:
V=141.3
Step-by-step explanation:
V=π*r2*h or V=B.h
V=3.14*(3*3)*5
V=3.14*9*5
V=141.3
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
Answers
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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in a 2 x 3 between subjects anova, how many total groups are there?
Answers
In a 2 x 3 between subjects ANOVA, there are a total of 6 groups. The first factor, with 2 levels, divides the participants into two distinct groups. The second factor, with 3 levels, further divides each of the two groups into three subgroups. This results in a total of 6 groups.
In this design, each group consists of a unique combination of the two factors, ensuring that each participant is assigned to only one group.
The purpose of conducting a between-subjects ANOVA is to examine the main effects of each factor, as well as any possible interactions between them, on a dependent variable.To illustrate, let's say we are conducting a study on the effects of a new medication on anxiety levels. The first factor may be gender, with two levels: male and female. The second factor may be dosage, with three levels: low, medium, and high. This results in six groups: male/low dosage, male/medium dosage, male/high dosage, female/low dosage, female/medium dosage, and female/high dosage. It's important to note that each group should have a sufficient number of participants to ensure statistical power and reliability of the results. Additionally, the number of groups can impact the complexity of the statistical analysis and interpretation of the findings.Know more about the ANOVA,
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dilate the figure with the origin as the center of dilation
Answers
Explanation
In this case as the factor of dilation is 2.5 and the point (0,0) each coordinate is multiplied by 2.5.
Answer
The two-way frequency table shows the results of a survey of students.
Right-handed
Left-handed
Total
In music program Not in music program Total
43
394
437
15
33
48
427
475
OA. 48
58
How many left-handed students are not in the music program?
Answers
The given two-way Frequency table, there are 33 left-handed students who are not in the music program.
The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.
From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.
the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.
Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program
Number of left-handed students not in the music program = 48 - 15
Calculating this, we find that the number of left-handed students not in the music program is 33.
Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.
In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.
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For the following three vectors, what is 3⋅
C
⋅(2
A
×
B
) ?
A
=3.00
i
^
+3.00
j
^
−3.00
k
^
B
=−3.00
i
^
+3.00
j
^
+4.00
k
^
C
=7.00
i
^
−7.00
j
^
Number Units
Answers
The value of 3⋅C⋅(2A×B) is 126.00. This is obtained by calculating the cross product of A and B, then taking the dot product with C and multiplying by 3.
To find the value of the expression 3⋅C⋅(2A×B), we need to calculate the cross product of vectors A and B, and then perform the dot product with vector C. Let's break it down step by step.
Vector A = 3.00i^ + 3.00j^ - 3.00k^
Vector B = -3.00i^ + 3.00j^ + 4.00k^
Vector C = 7.00i^ - 7.00j^
Step 1: Calculate the cross product of A and B.
A × B = (3.00i^ + 3.00j^ - 3.00k^) × (-3.00i^ + 3.00j^ + 4.00k^)
The cross product of two vectors can be calculated using the following formula:
A × B = (AyBz - AzBy)i^ + (AzBx - AxBz)j^ + (AxBy - AyBx)k^
Using the given vectors A and B:
A × B = (3.00 * 4.00)i^ + (-3.00 * -3.00)j^ + (3.00 * -3.00 - 3.00 * 3.00)k^
= 12.00i^ + 9.00j^ - 18.00k^
So, A × B = 12.00i^ + 9.00j^ - 18.00k^
Step 2: Perform the dot product of C and (2A×B).
C ⋅ (2A×B) = (7.00i^ - 7.00j^) ⋅ (2(12.00i^ + 9.00j^ - 18.00k^))
The dot product of two vectors can be calculated by multiplying corresponding components and summing them up:
C ⋅ (2A×B) = 7.00 * 2 * 12.00 + (-7.00) * 2 * 9.00 + 0
= 168.00 - 126.00 + 0
= 42.00
Therefore, 3⋅C⋅(2A×B) = 3 * 42.00 = 126.00.
The value of 3⋅C⋅(2A×B) is 126.00.
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Suppose line B has the equation 3x + 6y = 12.
The line parallel to line B has a slope of
Answers
Convert to x in terms of y.
3x + 6y = 12
Divide by 3.
x + 3y = 4
Subtract x.
3y = -x + 4
Divide by 3.
y = (-1/3)x + 4
The slope is -1/3 here. A parallel line would have the same slope.
So the slope of the parallel line is -1/3
Hope this helps
Rick is driving to his uncle's house in Greensville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away. Which equation, when solved, will give the value of x?
Answers
Answer:
The equation which will give the value of x when solved is C. x + 20 = 120
x=100
Step-by-step explanation:
Total distance=120 miles
Distance covered=x miles
Distance remaining=20 miles
The equation is
Total distance=Distance covered + distance remaining
120 miles= x miles + 20 miles
120 miles - 20 miles = x miles
100 miles =x miles
Check:
Total distance=Distance covered + distance remaining
120 miles = 100 miles + 20 miles
120 miles =120 miles
The equation which will give the value of x when solved is C. x+20=120
Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of θ only. csc 2
θ−1
1+cot 2
θ
csc 2
θ−1
1+cot 2
θ
=
Answers
The simplified expression where all the functions are of θ is cos^2θ - cos^4θ.
To simplify the expression (csc^2 θ - 1)/(1 + cot^2 θ), we can rewrite the trigonometric functions in terms of sine and cosine.
Using cscθ = 1/sinθ, cotθ = cosθ/sinθ these identities, we can rewrite the expression as follows:
(csc^2 θ - 1)/(1 + cot^2 θ)
= ((1/sinθ)^2 - 1)/(1 + (cosθ/sinθ)^2)
= (1/sin^2θ - 1)/(1 + cos^2θ/sin^2θ)
To simplify further, we can use the Pythagorean identity: sin^2θ + cos^2θ = 1.
Substituting sin^2θ = 1 - cos^2θ into the expression, we get:
(1/(1 - cos^2θ) - 1)/(1 + cos^2θ/(1 - cos^2θ))
= (1 - (1 - cos^2θ))/(1 + cos^2θ/(1 - cos^2θ))
= (cos^2θ)/(1 + cos^2θ/(1 - cos^2θ))
Simplifying the denominator:
1 + cos^2θ/(1 - cos^2θ) = (1(1 - cos^2θ) + cos^2θ)/(1 - cos^2θ)
= (1 - cos^2θ + cos^2θ)/(1 - cos^2θ)
= 1/(1 - cos^2θ)
Substituting this back into the expression, we have:
(cos^2θ)/(1/(1 - cos^2θ))
= cos^2θ * (1 - cos^2θ)
= cos^2θ - cos^4θ
Therefore, the simplified expression is cos^2θ - cos^4θ.
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helppppppppppppppppppppppppppp
Answers
Answer:
4:7, For every 4 books Andrew read, Mia read 7 books.
Step-by-step explanation:
Andrew read 16, Mia read 28, so the ratio is 16:28. This reduces to 4:7.
Answer:
For every 4 books Andrew read, Mia read 7 books.
Step-by-step explanation:
The ratio for 16:28 simplifies to 4:7. hope this helped!!!
HELP! A TV salesperson makes a 6% commission on each ty they sell. If they sell 1 TV that
cost $625 dollars, how much commission do they make?
Answers
Which of the following statements is true?
a.
b.
c.
d.
Answers
Answer:
confused on what you are asking
Step-by-step explanation:
Need help ASAP! Will mark brainliest!!!!!
Answers
Answer:
The answer is B, 13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
4x=52 because they are vertical angles so are congruent
x=52/4=13
Solve for the equation...
Answers
Answer:
(4 , 1)
Step-by-step explanation:
Intersecting point of the two lines give the solution for the equations.
(4 , 1)
Evaluate the following expression. -7x7+9x -1/-1
Answers
The given expression:
\(-7\times7+9\times\frac{-1}{-1}\)Apply BODMAS Rule : Brackets, Of, Division, Multiplication, Addition, Subtraction
According to BODMAS rule, we first simplify division:
\(-7\times7+9\times\frac{-1}{-1}=-7\times7+9\times1\)Simplify multiplication:
\(-7\times7+9\times1=-49+9\)Simplify addition:
\(-7\times7+9\times\frac{-1}{-1}=-40\)Answer: -40
what is the Area of the finished window
Answers
A student wants to reduce the size of an article he found in a newspaper. The original article was 12 cm wide. He needs to reduce it so its width measures 9 cm. On the copier, what percent setting should he can use to make a copy this size?
Anyone is here?
Answers
Answer:
75%
Step-by-step explanation:
75% of 12 = 9
Find the slope of the tangent line to the given polar curve at the point specified by the value of \( \theta \). \[ r=\cos (\theta / 3), \quad \theta=\pi \]
Answers
The derivative of \(r\) with respect to \(\theta\) can be found using the chain rule. Let's proceed with the differentiation:
\frac{dr}{d\theta} = \frac{d}{d\theta}\left(\cos\left(\frac{\theta}{3}\right)\right)
To differentiate \(\cos\left(\frac{\theta}{3}\right)\), we treat \(\frac{\theta}{3}\) as the inner function and differentiate it using the chain rule. The derivative of \(\cos(u)\) with respect to \(u\) is \(-\sin(u)\), and the derivative of \(\frac{\theta}{3}\) with respect to \(\theta\) is \(\frac{1}{3}\). Applying the chain rule, we have:
\frac{dr}{d\theta} = -\sin\left(\frac{\theta}{3}\right) \cdot \frac{1}{3}
Now, let's evaluate this derivative at \(\theta = \pi\):
\frac{dr}{d\theta} \bigg|_{\theta=\pi} = -\sin\left(\frac{\pi}{3}\right) \cdot \frac{1}{3}
The value of \(\sin\left(\frac{\pi}{3}\right)\) is \(\frac{\sqrt{3}}{2}\), so substituting this value, we have:
\frac{dr}{d\theta} \bigg|_{\theta=\pi} = -\frac{\sqrt{3}}{2} \cdot \frac{1}{3} = -\frac{\sqrt{3}}{6}
Therefore, the slope of the tangent line to the polar curve \(r = \cos(\theta / 3)\) at the point specified by \(\theta = \pi\) is \(-\frac{\sqrt{3}}{6}.
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Factorize
4a^2-24a^2b^2+9b^2
Answers
3. Un cubo de madera se pinta y luego se divide en 27 cubitos iguales, de estos nuevos cubos ¿Cuántos tienen pintadas 3 caras? a. 1 cubito b. 12 cubitos c. 8 cubitos d. 10 cubitos
Answers
Answer:
c. 8 cubes
Step-by-step explanation:
In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.
The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces
Simplify the Expression : -20 - (-5) * (-2^2)
Answers
Answer:
-40
Step-by-step explanation:
-20-(-5)*(-2^2)
- and a - = positive
-2^2 = -4 but if it was (-2)^2 then it would be 4
-20+5*(-4)
order of operations
-20-20
-40
hope this helps
Pls answer fast and no bs links or I’ll report
Answers
Answer:
Step-by-step explanation:
a c e
What is the answer to m + 2 = - 10
Answers
Answer:
m= -12
Step-by-step explanation:
Answer:
=−12
Step-by-step explanation:
+2−2=−10−2
Which equation is the equation of the line, in point-slope form, that has a slope of - 4 and passes through the point (7, 1)?
Answers
Answer:
y-1=-4(x-7) is the correct answer
Does the order of multiplication and division matter?.
Answers
Answer:
it doesn't matter if you do division or multiplication first, but they must be done after parentheses and exponents and before addition and subtraction.
Step-by-step explanation:
trust me
When two events are disjoint, they are also independent. True or Flase.
Answers
Two events that are disjoint are not independent. This is because that disjoint events do not overlap, which means that if one event occurs, the other cannot. So, the occurrence of one event provides information about the absence of the other, which violates the definition of independence.
Two events A and B are considered independent if the occurrence of A has no effect on the likelihood of B occurring, and vice versa.
In other words, the probability of both events happening at the same time is equal to the product of their individual probabilities:
\(P(A and B) = P(A) * P(B) (B).\)
This formula cannot be satisfied when two events are disjoint because if one event occurs, the other cannot occur. As a result, two disjoint events are not independent.
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Students measured the length of several pencils and recorded their data in a table.
Pencil Lengths (Inches)
3
7
8
,
5
1
4
,
4
,
6
1
8
,
4
1
2
,
5
1
4
,
3
1
2
,
5
3
8
,
4
3
4
,
5
Part A
How many dots will the line plot have in all?
A.
2
B.
6
C.
7
D.
10
Part B
The students will make the line plot using one fractional unit. What fractional unit should the students use so that all of the data can be plotted above a label?
A.
tenths
B.
eighths
C.
fourths
D.
halves
HELP MEEEE
Answers
Answer: I don't know, sorry!
Step-by-step explanation:
What is the breakdown of this math problem? 8 2/5 - 6 7/10 =
Answers
let's first off, convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)