A data set includes data from student evaluations of courses. The summary statistics are n = 97, x = 3.59, s = 0.58. Use a 0.10 significance level to test the claim thatthe population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.%3DWhat are the null and alternative hypotheses?В. Но: н#3.75H1:µ= 3.75Ο Α. Ho: μ= 3.75H1:µ>3.75O C. Ho: H= 3.75H1: µ#3.75D. Ho: H= 3.75H1:µ<3.75Determine the test statistic.(Round to two decimal places as needed.)Determine the P-value.(Round to three decimal places as needed.)State the final conclusion that addresses the original claim.Ho. There isevidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 3.75correct.

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Description: A data set includes data from student evaluations of courses. The summary statistics are n = 97, x = 3.59, s = 0.58. Use a 0.10 significance level to test the claim thatthe population of student course evaluations has a mean equal to 3.75. Assume th

The provided information are: Sample size (n) = 97Sample mean(x¯)=3.59Sample standard deviation(s)=0.58The hypotheses are: H0:μ=3.75H1:μ≠3.75 The correct option is (c) Here, sample standard standard deviation is known. Thus, t-test statistic is to be computed. t=x¯-μsn=3.59-3.750.5897=-2.72 Thus, the test statistic is -2.72.The degree of freedom is: Degree of freedom = Sample size -1 = 97-1 = 96 The p-value could be calculated as: P-value=2×P(t>|t|)=2×P(t>|-2.72|)=0.008 The P-value is 0.008.Decision rule: The null hypothesis is rejected if P-value is less than the significance level. Here, P-value (0.008)<α0.10 The null hypothesis is rejected Conclusion: Reject Ho. There is enough evidence to conclude that the original claim that the mean of the population of student course evaluation is equal to 3.75 is not correct.

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A data set includes data from student evaluations of courses. The summary statistics are n = 97, x= 3.59, s = 0.58. 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. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. Ho: μ= 3.75 Ο Β . Ho: μ# 3.75 H1: µ> 3.75 H1: µ= 3.75 O D. Ho: H= 3.75 O C. Ho: H= 3.75 H1: H#3.75 H1: µ<3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 3.75 V correct.

A data set includes data from student evaluations of courses. The summary statistics are n = 97, x= 3.59, s = 0.58. 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. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. Ho: μ= 3.75 Ο Β . Ho: μ# 3.75 H1: µ> 3.75 H1: µ= 3.75 O D. Ho: H= 3.75 O C. Ho: H= 3.75 H1: H#3.75 H1: µ<3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 3.75 V correct.

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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