Test the claim that the mean GPA of night students is larger than 2.3 at the .025 significance level. The null and alternative hypothesis would be: Но : р — 2.3 Но:н — 2.3 Но:р %3D 0.575 Но: д —— 2.3 Но:р %3D 0.575 Но:р 3 0.575 H:р + 2.3 Hi:p<2.3 Ні:р < 0.575 H:д > 2.3 Н:р#0.575 H:р> 0.575 The test is: left-tailed right-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 2.34 with a standard deviation of 0.06 The test statistic is: (to 2 decimals) The critical 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 night students is larger than 2.3 at the .025 significance level. The null and alternative hypothesis would be: Но : р — 2.3 Но:н — 2.3 Но:р %3D 0.575 Но: д —— 2.3 Но:р %3D 0.575 Но:р 3 0.575 H:р + 2.3 Hi:p<2.3 Ні:р < 0.575 H:д > 2.3 Н:р#0.575 H:р> 0.575 The test is: left-tailed right-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 2.34 with a standard deviation of 0.06 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis

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Description: Test the claim that the mean GPA of night students is larger than 2.3 at the .025 significance level.The null and alternative hypothesis would be:Но : р — 2.3 Но:н — 2.3 Но:р %3D 0.575 Но: д —— 2.3 Но:р %3D 0.575 Но:р 3 0.575H:р + 2.3 Hi:p<2.3 Ні:р

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 3.5 at the .005 significance level. The null and alternative hypothesis would be: Но: р — 0.875 Н,: р — 0.875 Но: р — 3.5 Но: р — 3.5 Но:р — 0.875 Hо: д — 3.5 Hа:р> 0.875 Н,:р40.875 H,:и # 3.5 Н;:и 3.5 The test is: two-tailed right-tailed left-tailed Based on a sample of 25 people, the sample mean GPA was 3.55 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The critical 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 3.2 at the 0.01 significance level. The null and alternative hypotheses would be: Но: д — 3.2 Но: р — 3.2 Но:р — 3.2 Но:р — 0.8 Но:р — 0.8 Но:р — 0.8 0.8 Ho:p %3D Hi:д 3.2 Ні:д 3.2 Hi:р > 0.8 H:р < 0.8 Ні:р 0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 31 people, the sample mean GPA was 3.24 with a standard deviation of 0.14 The p-value is: | (to 3 decimals) The significance level 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 2.4 at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=2.4H0:μ=2.4H1:μ≠2.4H1:μ≠2.4 H0:μ≤2.4H0:μ≤2.4H1:μ>2.4H1:μ>2.4 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:μ≥2.4H0:μ≥2.4H1:μ<2.4H1:μ<2.4 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 Correct The test is: right-tailed left-tailed two-tailed Correct Based on a sample of 80 people, the sample mean GPA was 2.37 with a standard deviation of 0.07The 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 larger than 2.7 at the .10 significance level. The null and alternative hypothesis would be: Ho: : р %3D 0.675 Но:р %3D 0.675 Но: д 3 2.7 Но:д 3 2.7 Но: Д — 2.7 Но:р %3D 0.675 Нi:р > 0.675 Hі:p 2.7 Hі:р 2 0.675 The test is: left-tailed two-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 2.72 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: O Fail to reject the null hypothesis O 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 .10 significance level. The null and alternative hypothesis would be: Но: Им — Пр Но: рм — Рғ Но: им — Др Но: Ам — Ир Но: рм — Pғ Но:рм — Рr Hi: дм > Нр H:рм > РF Hi: Дм < Mp Hi:рим + pp Hi:рм + PF Hi:рм < PF The test is: left-tailed two-tailed right-tailed Based on a sample of 60 men, 35% owned cats Based on a sample of 80 women, 40% owned cats |(to 2 decimals) The test statistic is: 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 proportion of men who own cats is significantly different than 70% at the 0.1 significance level. The null and alternative hypothesis would be: Но: р 3 0.7 Но:д — 0.7 Но:д %3D 0.7 Но:р — 0.7 Но:р — 0.7 Но: д — 0.7 H:р +0.7 H:n # 0.7 Hi:р > 0.7 H:p > 0.7 H:р < 0.7 H:р < 0.7 The test is: two-tailed left-tailed right-tailed Based on a sample of 55 people, 75% owned cats The test statistic i: (to 2 decimals) The positive critical 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 proportion of people who own cats is significantly diffe significance level. The null and alternative hypothesis would be: Ο Η: μ 0.9 Ο H: μ > 0.9 Ha:µ 0.9 На:р 0.9 The test is: O two-tailed O right-tailed O left-tailed Based on a sample of 300 people, 88% owned cats The test statistic is: (Round to 2 decimals) The p-value is: (Round to 2 decimals) Based on this we: O Do not reject the null hypothesis O Reject the null hypothesis
Based on the above, check the validity of the hypothesis variances in the image below
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.The null and alternative hypothesis would be: A.) H0:μM=μF H1:μM≠μF B.)H0:μM=μF H1:μM<μF C.)H0:pM=pF H1:pM<pF D.)H0:pM=pF H1:pM≠pF E.)H0:μM=μF H1:μM>μF F.)H0:pM=pF H1:pM>pF The test is: A.) right-tailed B.) left-tailed C.) two-tailed Based on a sample of 40 men, 40% owned catsBased on a sample of 20 women, 55% owned cats The test statistic is:___________ (to 2 decimals)The p-value is: _____________ (to 2 decimals)Based on this we: A.) Reject the null hypothesis B.) Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is significantly different than 3.1 at the 0.2 significance level. The null and alternative hypotheses would be: Но:р — 0.775 Но:р — 0.775 Но:и — 3.1 Hо: д — 3.1 Но:р — 0.775 Но: и — 3.1 Ні:р 3.1 Нi:д 3.1 Н:р> 0.775 Hi:р < 3.1 The test is: two-tailed right-tailed left-tailed Based on a sample of 36 people, the sample mean GPA was 3.08 with a standard deviation of 0.1 The p-value is: (to 3 decimals) The positive significance level 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 proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но: р — 0.2 Но: д 0.2 Но:р Но: и Н: + 0.2 Н]:р 0.2 Hi:д > 0.2 Hi:р+0.2 0.2 Но:р — 0.2 Но: д 0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis 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 0.01 significance level. The null and alternative hypothesis would be: A.)H0:pM=pF H1:pM>pF B.)H0:pM=pF H1:pM≠pF C.)H0:μM=μF H1:μM≠μF D.)H0:pM=pF H1:pM<pF E.)H0:μM=μF H1:μM>μF F.)H0:μM=μFH0:μM=μF H1:μM<μFH1:μM<μF The test is: A.) left-tailed B.) right-tailed C.) two-tailed Based on a sample of 60 men, 30% owned catsBased on a sample of 60 women, 50% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: A.) Fail to reject the null hypothesis B.) Reject the null hypothesis