Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2significance level.The null and alternative hypothesis would be:Ho: 4 = 2 Ho:p = 0.5 Ho:p= 0.5 Ho:p= 0.5 Ho:µ = 2 Ho:u = 2H1: µ > 2 H1:p < 0.5 H1:p 0.5 H1:p > 0.5 H1:µ < 2 H1: µ # 2%3DThe test is:right-tailed two-tailed left-tailedBased on a sample of 50 people, the sample mean GPA was 1.98 with a standard deviation of 0.05The test statistic is:(to 2 decimals)The positive critical value is:(to 2 decimals)Based on this we:O Fail to reject the null hypothesisO Reject the null hypothesis

Assume that μ is the true mean GPA of night students.

Answered: Test the claim that the mean GPA of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Test the claim that the proportion of men who own cats is significantly different than 60% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ<0.6H1:μ<0.6 H0:p=0.6H0:p=0.6H1:p>0.6H1:p>0.6 H0:p=0.6H0:p=0.6H1:p<0.6H1:p<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:μ=0.6H0:μ=0.6H1:μ>0.6H1:μ>0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 60 people, 66% owned catsThe test statistic is: (to 2 decimals)The positive critical 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 2.7 at the 0.05 significance level. The null and alternative hypothesis would be: Ho:p 2.7 Ho: µ 0.675 H:p 2.7 H1:p Next Question M hp
Test the claim that the mean GPA of night students is larger than 2.6 at the .025 significance level.The null and alternative hypothesis would be: H0:μ=2.6H0:μ=2.6H1:μ>2.6H1:μ>2.6 H0:p=0.65H0:p=0.65H1:p<0.65H1:p<0.65 H0:p=0.65H0:p=0.65H1:p≠0.65H1:p≠0.65 H0:μ=2.6H0:μ=2.6H1:μ≠2.6H1:μ≠2.6 H0:μ=2.6H0:μ=2.6H1:μ<2.6H1:μ<2.6 H0:p=0.65H0:p=0.65H1:p>0.65H1:p>0.65 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.64 with a standard deviation of 0.03The test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than 70% at the .10 significance level.The null and alternative hypothesis would be: H0:μ=0.7H1:μ≠0.7 H0:p=0.7H1:p<0.7 H0:μ=0.7H1:μ<0.7 H0:p=0.7H1:p>0.7 H0:μ=0.7H1:μ>0.7 H0:p=0.7H1:p≠0.7 Based on a sample of 55 people, 63% owned catsThe test statistic is (to 3 decimals)The critical value is (to 2 decimals)Based on this we Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the mean GPA of night students is smaller than 3.4 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.85H0:p=0.85H1:p>0.85H1:p>0.85 H0:p=0.85H0:p=0.85H1:p≠0.85H1:p≠0.85 H0:μ=3.4H0:μ=3.4H1:μ≠3.4H1:μ≠3.4 H0:p=0.85H0:p=0.85H1:p<0.85H1:p<0.85 H0:μ=3.4H0:μ=3.4H1:μ>3.4H1:μ>3.4 H0:μ=3.4H0:μ=3.4H1:μ<3.4H1:μ<3.4 The test is: -left-tailed -two-tailed -right-tailed Based on a sample of 20 people, the sample mean GPA was 3.35 with a standard deviation of 0.08The test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: -Reject the null hypothesis -Fail to reject the null hypothesis
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.8 Ho:p= 0.8 Ho:µ = 0.8 Ho:p > 0.8 H1:µ > 0.8 H1:p > 0.8 H1:µ < 0.8 H1:p 0.8 H1:µ + 0.8 H1:p < 0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 84% owned cats (to 2 decimals) The p-value is: Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 3.1 at the .025 significance level.The null and alternative hypothesis would be: H0:μ=3.1H0:μ=3.1H1:μ<3.1H1:μ<3.1 H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1 H0:p=0.775H0:p=0.775H1:p<0.775H1:p<0.775 H0:μ=3.1H0:μ=3.1H1:μ>3.1H1:μ>3.1 H0:p=0.775H0:p=0.775H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 3.15 with a standard deviation of 0.03The test statistic is:  (to 2 decimals)The critical 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 2.1 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.525H0:p=0.525H1:p<0.525H1:p<0.525 H0:p=0.525H0:p=0.525H1:p>0.525H1:p>0.525 H0:p=0.525H0:p=0.525H1:p≠0.525H1:p≠0.525 H0:μ=2.1H0:μ=2.1H1:μ≠2.1H1:μ≠2.1 H0:μ=2.1H0:μ=2.1H1:μ<2.1H1:μ<2.1 H0:μ=2.1H0:μ=2.1H1:μ>2.1H1:μ>2.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 2.06 with a standard deviation of 0.07The test statistic is:  (to 2 decimals)The critical value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the mean GPA of night students is smaller than 2.6 at the 0.01 significance level.The null and alternative hypotheses would be: H0:p=0.65H1:p<0.65 H0:p=0.65H1:p>0.65 H0:p=0.65H1:p≠0.65 H0:μ=2.6H1:μ≠2.6 H0:μ=2.6H1:μ<2.6 H0:μ=2.6H1:μ>2.6 Based on a sample of 33 people, the sample mean GPA was 2.59 with a standard deviation of 0.2The p-value is:  (to 3 decimals)The significance level is:  (to 2 decimals)
Test the claim that the proportion of men who own cats is smaller than 90% at the .05 significance level.The null and alternative hypothesis would be: H0:p=0.9H0:p=0.9H1:p>0.9H1:p>0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:μ=0.9H0:μ=0.9H1:μ>0.9H1:μ>0.9 H0:μ=0.9H0:μ=0.9H1:μ<0.9H1:μ<0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 20 people, 84% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The null and alternative hypothesis would be: Ho:p = 0.2 H1:p 0.2 Ho:µ = 0.2 Η :μ > 0.2 Ho:p = 0.2 H1:p + 0.2 Ho: µ = 0.2 Η : μ< 0.2 Based on a sample of 65 people, 18% owned cats The test statistic is The positive critical value is Based on this we Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is larger than 50% at the .025 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, 51% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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