Section 9.2 Question #4 A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Proctored Nonproctored μ μ1 μ2 n 33 31 _ x 76.13 85.34 s 11.07 22.23 a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses? A. H0: μ1 = μ2 H1: μ1 ≠ μ2 B. H0: μ1 = μ2 H1: μ1 < μ2 C. H0: μ1 ≠ μ2 H1: μ1 < μ2 D. H0: μ1 = μ2 H1: μ1 > μ2 The test statistic, t, is __________. (Round to two decimal places as needed.) The P-value is ___________. (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject H0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. B. Reject H0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. D. Reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. _________ < μ1 − μ2 < ______________ (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? __________ ( A. Yes, B. No ) because the confidence interval contains ___________ ( A. only negative values, B. only positive values, C. Zero )

Section 9.2 Question #4 A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Proctored Nonproctored μ μ1 μ2 n 33 31 _ x 76.13 85.34 s 11.07 22.23 a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses? A. H0: μ1 = μ2 H1: μ1 ≠ μ2 B. H0: μ1 = μ2 H1: μ1 < μ2 C. H0: μ1 ≠ μ2 H1: μ1 < μ2 D. H0: μ1 = μ2 H1: μ1 > μ2 The test statistic, t, is ____. (Round to two decimal places as needed.) The P-value is _. (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject H0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. B. Reject H0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. D. Reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. _ < μ1 − μ2 < (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? ( A. Yes, B. No ) because the confidence interval contains ___ ( A. only negative values, B. only positive values, C. Zero )

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Section 9.2

Question #4

A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.

Proctored

Nonproctored

μ₁

μ₂

76.13

85.34

11.07

22.23

a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

What are the null and alternative hypotheses?

A. H₀: μ₁= μ₂

H₁: μ₁ ≠ μ₂

B. H₀: μ₁ = μ₂

H₁: μ₁ < μ₂

C. H₀: μ₁ ≠ μ₂

H₁: μ₁ < μ₂

D. H₀: μ₁ = μ₂

H₁: μ₁ > μ₂

The test statistic, t, is __________. (Round to two decimal places as needed.)

The P-value is ___________. (Round to three decimal places as needed.)

State the conclusion for the test.

A. Fail to reject H₀. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

B. Reject H₀. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

C. Fail to reject H₀. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

D. Reject H₀. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

_________ < μ₁ − μ₂ < ______________

(Round to three decimal places as needed.)

Does the confidence interval support the conclusion of the test?

__________ ( A. Yes, B. No ) because the confidence interval contains ___________ ( A. only negative values, B. only positive values, C. Zero )

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here