Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ=3.1H0:μ=3.1 H1:μ≠3.1H1:μ≠3.1 H0:μ≥3.1H0:μ≥3.1 H1:μ<3.1H1:μ<3.1 H0:p≥0.775H0:p≥0.775 H1:p<0.775H1:p<0.775 H0:p≤0.775H0:p≤0.775 H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775 H1:p≠0.775H1:p≠0.775 H0:μ≤3.1H0:μ≤3.1 H1:μ>3.1H1:μ>3.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ=3.1H0:μ=3.1 H1:μ≠3.1H1:μ≠3.1 H0:μ≥3.1H0:μ≥3.1 H1:μ<3.1H1:μ<3.1 H0:p≥0.775H0:p≥0.775 H1:p<0.775H1:p<0.775 H0:p≤0.775H0:p≤0.775 H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775 H1:p≠0.775H1:p≠0.775 H0:μ≤3.1H0:μ≤3.1 H1:μ>3.1H1:μ>3.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Question

Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:μ=3.1H0:μ=3.1
H1:μ≠3.1H1:μ≠3.1

H0:μ≥3.1H0:μ≥3.1
H1:μ<3.1H1:μ<3.1

H0:p≥0.775H0:p≥0.775
H1:p<0.775H1:p<0.775

H0:p≤0.775H0:p≤0.775
H1:p>0.775H1:p>0.775

H0:p=0.775H0:p=0.775
H1:p≠0.775H1:p≠0.775

H0:μ≤3.1H0:μ≤3.1
H1:μ>3.1H1:μ>3.1

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06

The p-value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

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