A data set includes data from student evaluations of courses at a particular university. The summary statistics are n=470, x=3.71, s=0.65. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Do the results apply to the population of all students? Identify the null and alternative hypotheses for this test. A. H0: μ≠3.75 H1: μ=3.75 B. H0: μ=3.75 H1: μ>3.75 C. H0: μ=3.75 H1: μ<3.75 D. H0: μ=3.75 H1: μ≠3.75 Identify the value of the test statistic. enter your response here (Round to two decimal places as needed.) Identify the P-value. enter your response here (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. A. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to 3.75. B. Reject H0. There is sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to 3.75. C. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to 3.75. D. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to 3.75.

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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Question

A data set includes data from student evaluations of courses at a particular university. The summary statistics are

n=470,

x=3.71,

s=0.65.

Use a

0.10

significance level to test the claim that the population of student course evaluations has a mean equal to

3.75.

Assume that a simple random sample has been selected. Do the results apply to the population of all students?

Identify the null and alternative hypotheses for this test.

H0:

μ≠3.75

H1:

μ=3.75

H0:

μ=3.75

H1:

μ>3.75

H0:

μ=3.75

H1:

μ<3.75

H0:

μ=3.75

H1:

μ≠3.75

Identify the value of the test statistic.

enter your response here

(Round to two decimal places as needed.)

Identify the P-value.

enter your response here

(Round to three decimal places as needed.)

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

Reject

H0.

There

is not

sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to

3.75.

Reject

H0.

There

sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to

3.75.

Fail to reject

H0.

There

sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to

3.75.

Fail to reject

H0.

There

is not

sufficient evidence to warrant rejection of the claim that the population of student course evaluations has a mean equal to

3.75.

Do the results apply to the population of all students?

No, because the hypothesis test only applies to students at this particular university.

No, because it is not known whether the population is normally distributed.

Yes, because the conclusion of the hypothesis test addresses the mean of the population.

Yes, because the sample is assumed to be a simple random sample and the population is normally distributed.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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