Test the claim that the mean GPA of night students is smaller than 3.3 at the 0.10 significance level.The null and alternative hypothesis would be:Ho:p 0.825 Ho:p ≤ 0.825 Ho: ≤3.3 Ho: 3.3 Ho: 23.3 Ho:p> 0.825H₁:p0.825 H₁:p> 0.825 H₁:p>3.3 H₁: 3.3 H₁: <3.3 H₁ p < 0.825OThe test is:right-tailed left-tailed two-tailedBased on a sample of 65 people, the sample mean GPA was 3.26 with a standard deviation of 0.02The test statistic is:(to 2 decimals)The p-value is:Based on this we:O Fail to reject the null hypothesisO Reject the null hypothesis(to 2 decimals)

given data, claim:μ<3.3α=0.10we have to complete the hypothesis testing for the given data

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 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho p≥ 0.6 Ho:μ ≤ 2.4 Ho:p ≤ 0.6 H₁ p 2.4 H₁:p > 0.6 Ho:. :p= 0.6 Ho:} > 2.4 Ho: = 2.4 H₁:p‡ 0.6 H₁:μ< 2.4 H₁:µ ‡ 2.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.41 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the mean GPA of Orange Coast students is significantly different than the mean GPA of Coastline students at the 0.1 significance level.The null and alternative hypothesis would be: H0:pO≤pCH0:pO≤pCH1:pO>pCH1:pO>pC H0:pO=pCH0:pO=pCH1:pO≠pCH1:pO≠pC H0:pO≥pCH0:pO≥pCH1:pO<pCH1:pO<pC H0:μO=μCH0:μO=μCH1:μO≠μCH1:μO≠μC H0:μO≥μCH0:μO≥μCH1:μO<μCH1:μO<μC H0:μO≤μCH0:μO≤μCH1:μO>μCH1:μO>μC The test is: left-tailed right-tailed two-tailed The sample consisted of 80 Orange Coast students, with a sample mean GPA of 2.73 and a standard deviation of 0.08, and 80 Coastline students, with a sample mean GPA of 2.68 and a standard deviation of 0.05.The test statistic is: (to 2 decimals)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 significantly different than 3.2 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≤3.2H0:μ≤3.2H1:μ>3.2H1:μ>3.2 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≥3.2H0:μ≥3.2H1:μ<3.2H1:μ<3.2 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ=3.2H0:μ=3.2H1:μ≠3.2H1:μ≠3.2 The test is: right-tailed two-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 3.16 with a standard deviation of 0.05The 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 proportion of people who own cats is larger than 10% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 500 people, 19% owned catsThe 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 2.1 at the 0.025 significance level.The null and alternative hypothesis would be: H0:μ=2.1H0:μ=2.1H1:μ≠2.1H1:μ≠2.1 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: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:p=0.525H0:p=0.525H1:p≠0.525H1:p≠0.525 The test is: right-tailed two-tailed left-tailed Based on a sample of 40 people, the sample mean GPA was 2.06 with a standard deviation of 0.04The 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 Orange Coast students is larger than the mean GPA of Coastline students at the 0.01 significance level.The null and alternative hypothesis would be: H0:μO≤μCH0:μO≤μCH1:μO>μCH1:μO>μC H0:μO=μCH0:μO=μCH1:μO≠μCH1:μO≠μC H0:μO≥μCH0:μO≥μCH1:μO<μCH1:μO<μC H0:pO≤pCH0:pO≤pCH1:pO>pCH1:pO>pC H0:pO=pCH0:pO=pCH1:pO≠pCH1:pO≠pC H0:pO≥pCH0:pO≥pCH1:pO<pCH1:pO<pC The test is: two-tailed right-tailed left-tailed The sample consisted of 75 Orange Coast students, with a sample mean GPA of 3.32 and a standard deviation of 0.03, and 75 Coastline students, with a sample mean GPA of 3.3 and a standard deviation of 0.08.The test statistic is:  (to 2 decimals)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 2.2 at the 0.005 significance level.The null and alternative hypothesis would be: 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 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 The test is: left-tailed two-tailed right-tailed Correct Based on a sample of 60 people, the sample mean GPA was 2.18 with a standard deviation of 0.04The p-value is: Incorrect (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 2.5 at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=2.5H0:μ=2.5H1:μ≠2.5H1:μ≠2.5 H0:μ≤2.5H0:μ≤2.5H1:μ>2.5H1:μ>2.5 H0:p≤0.625H0:p≤0.625H1:p>0.625H1:p>0.625 H0:p=0.625H0:p=0.625H1:p≠0.625H1:p≠0.625 H0:p≥0.625H0:p≥0.625H1:p<0.625H1:p<0.625 H0:μ≥2.5H0:μ≥2.5H1:μ<2.5H1:μ<2.5 The test is: right-tailed left-tailed two-tailed Based on a sample of 40 people, the sample mean GPA was 2.51 with a standard deviation of 0.07The test statistic is: (to 2 decimals)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 proportion of people who own cats is smaller than 10% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 8% owned catsThe 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 proportion of people who own cats is larger than 70% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:μ≥0.7H0:μ≥0.7H1:μ<0.7H1:μ<0.7 H0:μ≤0.7H0:μ≤0.7H1:μ>0.7H1:μ>0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 The test is: two-tailed left-tailed right-tailed Based on a sample of 200 people, 74% 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 the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Но: HF Ho: UM = µF Ho:PM — pF Ho:рм PF Ho: им — MF Ho:; PF Нi: рм > иF Hi: рм # pF Hi:рм рF Hi: рм < pF Hi:рм # pғ The test is: right-tailed two-tailed left-tailed Based on a sample of 80 men, 25% owned cats Based on a sample of 40 women, 50% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 2.9 at the 0.005 significance level.The null and alternative hypothesis would be: H0:p≤0.725H0:p≤0.725H1:p>0.725H1:p>0.725 H0:μ≥2.9H0:μ≥2.9H1:μ<2.9H1:μ<2.9 H0:μ=2.9H0:μ=2.9H1:μ≠2.9H1:μ≠2.9 H0:μ≤2.9H0:μ≤2.9H1:μ>2.9H1:μ>2.9 H0:p=0.725H0:p=0.725H1:p≠0.725H1:p≠0.725 H0:p≥0.725H0:p≥0.725H1:p<0.725H1:p<0.725 The test is: two-tailed left-tailed right-tailed Based on a sample of 40 people, the sample mean GPA was 2.93 with a standard deviation of 0.08The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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