Test the claim that the mean GPA of night students is smaller than 2.1 at the .025 significance level.The null and alternative hypothesis would be:Ho:p0.525 Ho: 2.1 Ho:μ = 2.1H₁:p 0.525 H₁:μ ‡ 2.1 H₁:μ> 2.1=The test is:two-tailed left-tailed right-tailedThe test statistic is:-Based on a sample of 55 people, the sample mean GPA was 2.07 with a standard deviation of 0.05(to 2 decimals)The critical value is:Based on this we:Ho:p = 0.525 Ho:p = 0.525 Ho:μ = 2.1H₁:p > 0.525 H₁:p < 0.525 H₁:μ< 2.1Fail to reject the null hypothesisReject the null hypothesis(to 2 decimals)

From the provided information, Sample size (n) = 55 Sample mean (x̄) = 2.07 Sample standard…

Answered: Test the claim that the mean GPA of…

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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Test the claim that the mean GPA of night students is larger than 2.5 at the .005 significance level. The null and alternative hypothesis would be: H 0 : μ = 2.5 H 1 : μ > 2.5 H 0 : p = 0.625 H 1 : p > 0.625 H 0 : μ = 2.5 H 1 : μ ≠ 2.5 H 0 : p = 0.625 H 1 : p < 0.625 H 0 : μ = 2.5 H 1 : μ < 2.5 H 0 : p = 0.625 H 1 : p ≠ 0.625 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.55 with a standard deviation of 0.07 The 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 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 smaller than 2.3 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≥2.3H0:μ≥2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 H0:p≤0.575H0:p≤0.575H1:p>0.575H1:p>0.575 H0:μ≤2.3H0:μ≤2.3H1:μ>2.3H1:μ>2.3 H0:p≥0.575H0:p≥0.575H1:p<0.575H1:p<0.575 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.26 with a standard deviation of 0.08The test statistic is: (to 2 decimals)The p-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 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 2.6 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 mean GPA of night students is significantly different than 3.1 at the 0.1 significance level.The null and alternative hypothesis would be: H0:p=0.775H1:p≠0.775 H0:μ≤3.1H1:μ>3.1 H0:μ≥3.1H1:μ<3.1 H0:μ=3.1H1:μ≠3.1 H0:p≥0.775H1:p<0.775 H0:p≤0.775H1:p>0.775 The test is: two-tailed left-tailed right-tailed Based on a sample of 65 people, the sample mean GPA was 3.07 with a standard deviation of 0.07The test statistic is: ? (to 2 decimals)The p-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 2.2 at the .05 significance level. The null and alternative hypothesis would be? H0:μ=2.2H0:μ=2.2H1:μ>2.2H1:μ>2.2 H0:μ=2.2H0:μ=2.2H1:μ≠2.2H1:μ≠2.2 H0:p=0.55H0:p=0.55H1:p≠0.55H1:p≠0.55 H0:μ=2.2H0:μ=2.2H1:μ<2.2H1:μ<2.2 H0:p=0.55H0:p=0.55H1:p>0.55H1:p>0.55 H0:p=0.55H0:p=0.55H1:p<0.55H1:p<0.55 Based on a sample of 60 people, the sample mean GPA was 2.19 with a standard deviation of 0.06The test statistic is:  (to 2 decimals)The critical value is:  (to 2 decimals)
Test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=2.3H0:μ=2.3H1:μ>2.3H1:μ>2.3 H0:μ=2.3H0:μ=2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p<0.575H1:p<0.575 H0:p=0.575H0:p=0.575H1:p>0.575H1:p>0.575 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 The test is: left-tailed two-tailed right-tailed Based on a sample of 50 people, the sample mean GPA was 2.34 with a standard deviation of 0.07The 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 proportion of people who own cats is significantly different than 40% at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≤0.4H0:μ≤0.4H1:μ>0.4H1:μ>0.4 H0:μ≥0.4H0:μ≥0.4H1:μ<0.4H1:μ<0.4 H0:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4 H0:p≥0.4H0:p≥0.4H1:p<0.4H1:p<0.4 H0:p=0.4H0:p=0.4H1:p≠0.4H1:p≠0.4 H0:p≤0.4H0:p≤0.4H1:p>0.4H1:p>0.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 600 people, 32% owned catsThe 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 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 smaller than the proportion of women who own cats at the .01 significance level. The null and alternative hypothesis would be: = PF Ho: M MF Ho: PM = PF Ho: M = μF Ho:μπ HF Ho: PM H₁:μM > μF H₁:PM
Test the claim that the mean GPA of night students is larger than 2.9 at the 0.025 significance level. The null and alternative hypothesis would be: Ho: µ = 2.9 Ho:u > 2.9 Ho: µ 2.9 H1:p 0.725 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.94 with a standard deviation of 0.06 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Add Work

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