**Educational Resource: Hypothesis Testing in Academic Research****Problem Statement:**Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.025 significance level.**Formulating Hypotheses:**The null and alternative hypothesis would be:- $ H_0: \mu_N \geq \mu_D $- $ H_1: \mu_N < \mu_D $**Test Type:**The test is a left-tailed test.**Sample Data:**- Night students: 75 students, mean GPA = 3.4, standard deviation = 0.03- Day students: 75 students, mean GPA = 3.45, standard deviation = 0.05**Calculation of Test Statistic:**The test statistic is: [ ] (to 2 decimals)**Calculation of P-value:**The P-value is: [ ] (to 2 decimals)**Conclusion:**Based on this we:- [ ] Reject the null hypothesis- [ ] Fail to reject the null hypothesis**Note:** Further calculations are required to determine the test statistic and P-value, which can be done using statistical software or detailed manual computation.

Let x1 be the samples associated with the GPA of night students and x2 be the samples associated…

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 smaller than 2.4 at the 0.10 significance level. The null and alternative hypothesis would be: Ho:u > 2.4 Ho:p > 0.6 Ho:p 0.6 H1: µ > 2.4 H1:p# 0.6 H1:µ # 2.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 45 people, the sample mean GPA was 2.36 with a standard deviation of 0.08 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 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
Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.4 Ho:p 0.4 H1:µ > 0.4 Hị:p 0.4 H1:p+ 0.4 H1:µ + 0.4 H1:µ < 0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 200 people, 31% owned cats The test statistic is: (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 mean GPA of night students is smaller than 3.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.85 Ho:µ 0.85 Ho:µ= 3.4 Ho:µ > 3.4 H1:p + 0.85 H1:µ > 3.4 H1:p > 0.85 H1:p < 0.85 H1:µ # 3.4 H1:µ < 3.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 20 people, the sample mean GPA was 3.39 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 night students is larger than 3.1 at the .005 significance level. The null and alternative hypothesis would be: 0.775 Ho:p= 0.775 Ho:µ = 3.1 Ho:u 3.1 Ho:µ = 3.1 Họ:p= 0.775 o Ho:p H1:p > 0.775 H1:p 3.1 Hj:p + 0.775 / The test is: right-tailed left-tailed two-tailed Based on a sample of 55 people, the sample mean GPA was 3.15 with a standard deviation of 0.05 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 P Type here to search HEWLETT-PACKARD 13 ? 2: 米 144 esc 23 3 $4 4 @ & 1 6. 7 8. W E Y tab caps lock A G 2.
Test the claim that the mean GPA of night students is larger than 3.1 at the 0.10 significance level.The null and alternative hypothesis would be: 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 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 The test is: right-tailed two-tailed left-tailed Based on a sample of 75 people, the sample mean GPA was 3.14 with a standard deviation of 0.03The 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 smaller than 30% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p 0.3 Ho: u > 0.3 Ho:µ 0.3 H1:p 0.3 H1:µ 0.3 H1:p # 0.3 0.3 The test is: right-tailed left-tailed two-tailed Based on a sample of 800 people, 23% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the mean GPA of night students is significantly different than 3.2 at the 0.2 significance level.The null and alternative hypothesis would be: (multiple choice) 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 H0:μ=3.2H0:μ=3.2 H1:μ<3.2H1:μ<3.2 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 The test is: (multiple choice) left-tailed right-tailed two-tailed Based on a sample of 30 people, the sample mean GPA was 3.17 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: (multiple choice) Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.1 significance level. The null and alternative hypothesis would be: Ho: µ = 3.5 Ho: µ = 3.5 Ho:p = 0.875 Ho:µ = 3.5 Ho:p= 0.875 Ho:p=0.875 H1: µ 3.5 H1:p# 0.875 H1:p > 0.875 The test is: two-tailed right-tailed left-tailed Based on a sample of 70 people, the sample mean GPA was 3.46 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The positive 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 smaller than 2.3 at the .005 significance level. The null and alternative hypothesis would be: Ho:p = 0.575 Ho:u = 2.3 Ho:4 = 2.3 Ho:p = 0.575 Ho:p = 0.575 Ho:4 = 2.3 H1:p > 0.575 H : u> 2.3 H1:4 < 2.3 H1:p < 0.575 H :p + 0.575 H1:4 # 2.3 The test is: right-tailed two-tailed left-tailed Based on a sample of 60 people, the sample mean GPA was 2.25 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 Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the mean GPA of night students is significantly different than 3.4 at the 0.2 significance level.The null and alternative hypotheses would be: 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: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:μ=3.4H0:μ=3.4H1:μ≠3.4H1:μ≠3.4 Based on a sample of 31 people, the sample mean GPA was 3.37 with a standard deviation of 0.08The p-value is: (to 3 decimals)The positive significance level is: (to 2 decimals)
Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ = 0.2 Ho:H = 0.2 Ho:p= 0.2 Ho:µ = 0.2 Ho:p= 0.2 Ho:p= 0.2 H1: µ > 0.2 H1:470.2 H1:p7 0.2 H1:µ 0.2 The test is: left-tailed right-tailed two-tailed Based on a sample of 4 people, 25% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis Check Answer

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