You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a 0.01, can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O A. Ho: H>31 O B. Ho: u231 OC. Ho: H=31 Ha: p<31 H:u<31 Hai us31 OF. Ho: u531 O E. Ho: H<31 Ha: u231 O D. Ho: H= 31 H:>31 Ha H#31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject Ho because the P-value is less than the significance level. Click to select your answer(s).

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a 0.01, can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O A. Ho: H>31 O B. Ho: u231 OC. Ho: H=31 Ha: p<31 H:u<31 Hai us31 OF. Ho: u531 O E. Ho: H<31 Ha: u231 O D. Ho: H= 31 H:>31 Ha H#31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject Ho because the P-value is less than the significance level. Click to select your answer(s).

Name: You receive a brochure from a large university. The brochure indicate
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Description: You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test thisclaim, You randomly select 18 classes taught by full-time faculty and determine the

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this
claim, You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below, At a = 0.01. can vou
support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
32
26
27
30
31
37
23
28
320
29
27
37
32
31
25
31
29
22
(a) Write the claim mathematically and identify Ho and Ha.
Which of the following correctly states Ho and Ha?
O C. Ho: H=31
O A. Ho: H> 31
Hai H531
O B. Ho: H231
Ha:H<31
Ha:H<31
OF. Ho: uS31
O D. Ho: H= 31
Ha H#31
O E. Ho: H<31
Ha:H231
H:u>31
(b) Use technology to find the P-value.
P=
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Which of the following is correct?
O A. Fail to reject Ho because the P-value is less than the significance level.
O B. Reject H because the P-value is less than the significance level.
Click to select your answer(s).
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(c) Decide whether to reject or fail to reject the null hypothesis.
Which of the following is correct?
O A. Fail to reject Ho because the P-value is less than the significance level.
OB. Reject Ho because the P-value is less than the significance level.
OC. Fail to reject Ho because the P-value is greater than the significance level.
O D. Reject H, because the P-value is greater than the significance level.
(d) Interpret the decision in the context of the original claim.
O A. At the 1% level of significance, there is sufficient evidence to support the
claim that the mean class size for full-time faculty is fewer than 31
students.
O B. At the 1% level of significance, there is not sufficient evidence to support
the claim that the mean class size for full-time faculty is more than 31
O C. At the 1% level of significance, there is sufficient evidence to support the
claim that the mean class size for full-time faculty is more than 31
students.
studems.
O D. At the 1% level of significance, there is not sufficient evidence to support
the claim that the mean class size for full-time faculty is fewer than 31
students.
Click to select your answer(s).
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please answer accuretly.
Refer to the figure at the right. At a =0.10, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? Assume the survey included a random sample of 248 men and 244 women. Percentage of 18-to 24-year olds living in parents' homes 70- 51.5% 41.2% 46.6% 44.3% 0- 2012 I Women 2000 Men Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P, P2 c. Họ: P1 = P2 Ha: P1 #P2 O D. Ho: P1 >P2 Ha: P1 SP2 Find the critical value(s). The critical value(s) is(are) ±1.65. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. (Round to two decimal places as needed.)
Refer to the figure at the right. At a =0.10, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? AsSsume the survey included a random sample of 248 men and 244 women. Percentage of 18- to 24-year olds living in parents' homes 70,. 51.5% 41.2% 46.6% 44.3% 2000 2012 O Men Women Identify the null and alternative hypotheses. Choose the correct answer below. O A. H,: P, +P2 Ha: P1 = P2 O B. Ho: P, P2 c. Họ: P1 = P2 O D. Ho: P1 > P2 Ha: P, SP2 Ha: P1 #P2 Find the critical value(s). The critical value(s) is(are) +1.65 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. z= 2.29 (Round to two decimal places as needed.) Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? V, at the 10% significance level, there is evidence to the claim.
What is the name of the test used?
Given: 18 16 19 20 18 19 23 54 20 16 18 19 18 19 18 40 30 19 18 38 Find: mean, median, mode, Q1, D3, P65
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c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample (Please show your answer to four decimal places.)
Need help with this question. An image is provided.
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The mean scores for students in a statistics course (by major) are shown below. What is the mean score for the class? 9 engineering majors: 90 5 math majors: 94 13 business majors: 76 The class's mean score is________ (Type an integer or a decimal rounded to two decimal places as needed.)