Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.10 significance level. The null and alternative hypothesis would be: 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 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 H0:μ≤3.1H0:μ≤3.1 H1:μ>3.1H1:μ>3.1   The test is: a) left-tailed b)two-tailed   c)right-tailed Based on a sample of 50 people, the sample mean GPA was 3.06 with a standard deviation of 0.08 The test statistic is:  __?__(to 2 decimals) The p-value is: __?__ (to 2 decimals) Based on this we: a) Fail to reject the null hypothesis b) Reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
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Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.10 significance level.

The null and alternative hypothesis would be:

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 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 H0:μ≤3.1H0:μ≤3.1 H1:μ>3.1H1:μ>3.1
 
The test is:

a) left-tailed

b)two-tailed
 
c)right-tailed

Based on a sample of 50 people, the sample mean GPA was 3.06 with a standard deviation of 0.08

The test statistic is:  __?__(to 2 decimals)

The p-value is: __?__ (to 2 decimals)

Based on this we:
  • a) Fail to reject the null hypothesis
  • b) Reject the null hypothesis
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