Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .005 significancelevel.The null and alternative hypothesis would be:Ho:PN = PD Ho:HN = HD Ho:PN = PD Ho: HN = HD Ho: HN = HD Ho:PN = PDH1:PN > Pp H :UN < HD H:PN # PD H1: HN # Hp H1:HN > D H:PN < PDThe test iş:left-tailed right-tailed two-tailedThe sample consisted of 25 night students, with a sample mean GPA of 2.48 and a standard deviation of 0.07, and 30day students, with a sample mean GPA of 2.46 and a standard deviation of 0.05.The test statistic is:(to 2 decimals)The critical value is:(to 2 decimals)Based on this we:OReject the null hypothesisFail to reject the null hypothesis

Given n1=25 X1bar=2.48 S1=0.07 n2=30 X2bar=2.46 S2=0.05

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 3.2 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.8H1:p<0.8 H0:p=0.8H1:p>0.8 H0:μ=3.2H1:μ>3.2 H0:μ=3.2H1:μ≠3.2 H0:μ=3.2H1:μ<3.2 H0:p=0.8H1:p≠0.8 Based on a sample of 55 people, the sample mean GPA was 3.22 with a standard deviation of 0.03The test statistic is  (to 3 decimals)The critical value is  (to 3 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 the mean GPA of day students at the 0.10 significance level.The null and alternative hypothesis would be: H0:μN=μDH1:μN≠μD H0:pN≥pDH1:pN<pD H0:μN≤μDH1:μN>μD H0:pN≤pDH1:pN>pD H0:μN≥μDH1:μN<μD H0:pN=pDH1:pN≠pD The test is: two-tailed right-tailed left-tailed The sample consisted of 80 night students, with a sample mean GPA of 3.36 and a standard deviation of 0.08, and 80 day students, with a sample mean GPA of 3.35 and a standard deviation of 0.04.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 proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 80 men, 25% owned catsBased on a sample of 60 women, 30% 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 2.8 at the .05 significance level. The null and alternative hypothesis would be: = 2.8 Ho:p= 0.7 Ho:μ = 2.8 : Ho p= 0.7 Ho:μ = 2.8 Ho: p = 0.7 Ho:μ = H₁:p 2.8 H₁:p 0.7 H₁:μ 0.7 H₁:μ ‡ 2.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 50 people, the sample mean GPA was 2.75 with a standard deviation of 0.02 The 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 90% at the .05 significance level.The null and alternative hypothesis would be: 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 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 The test is: right-tailed two-tailed left-tailed Based on a sample of 65 people, 87% 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 I dont understand this.
Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.10 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD The test is: right-tailed left-tailed two-tailed The sample consisted of 55 night students, with a sample mean GPA of 2.32 and a standard deviation of 0.05, and 55 day students, with a sample mean GPA of 2.37 and a standard deviation of 0.02.The 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 the mean GPA of day students at the 0.01 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD The test is: left-tailed two-tailed right-tailed The sample consisted of 35 night students, with a sample mean GPA of 2.23 and a standard deviation of 0.05, and 35 day students, with a sample mean GPA of 2.24 and a standard deviation of 0.07.
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: = Ho: PM = μF Ho: PM =PF Ho: M = μF Ho: PM = PF Ho: M H₁: μM ‡µF H₁: PM>PF H₁₂ : µM > µF H₁: PM/PF H₁: µM < µF H₁: PM
Test the claim that the mean GPA of night students is larger than 3.3 at the .10 significance level.The null and alternative hypothesis would be: H0:μ=3.3H0:μ=3.3H1:μ>3.3H1:μ>3.3 H0:p=0.825H0:p=0.825H1:p<0.825H1:p<0.825 H0:p=0.825H0:p=0.825H1:p≠0.825H1:p≠0.825 H0:μ=3.3H0:μ=3.3H1:μ<3.3H1:μ<3.3 H0:μ=3.3H0:μ=3.3H1:μ≠3.3H1:μ≠3.3 H0:p=0.825H0:p=0.825H1:p>0.825H1:p>0.825 The test is: right-tailed two-tailed left-tailed Based on a sample of 80 people, the sample mean GPA was 3.35 with a standard deviation of 0.06The 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 Im not understanding this material.
Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD The test is: left-tailed right-tailed two-tailed The sample consisted of 45 night students, with a sample mean GPA of 3.23 and a standard deviation of 0.05, and 45 day students, with a sample mean GPA of 3.26 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:
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF The test is: right-tailed left-tailed two-tailed Based on a sample of 40 men, 25% owned catsBased on a sample of 20 women, 30% owned catsThe 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 daim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.05 significance level. The null and alternative hypothesis would be: Ho:PN = PD Ho:HN > Hp Ho:PN > PD Ho:HN = HD Ho:HN µp Ha:PN > PD The test is: right-tailed left-tailed two-tailed The sample consisted of 16 night students, with a sample mean GPA of 3.28 and a standard deviation of 0.02, and 14 day students, with a sample mean GPA of 3.3 and a standard deviation of 0.03. test statistic = [three decimal accuracy] p-value = [three decimal accuracy] Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis

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