Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.1 significancelevel.The null and alternative hypotheses would be:Ho p=0.625 Hop=2.5 Ho: p=0.625 Ho::H₁: p > 0.625The test is:right-tailed left-tailed two-tailedо:p = 0.625 Hoμ = 2.5 H₁ μ = 2.5 oH₁:μ> 2.5 H₁: p < 0.625 H₁: p0.625 H₁: μ2.5 H₁: μ< 2.5Based on a sample of 35 people, the sample mean GPA was 2.47 with a standard deviation of 0.06The p-value is: -1.645The positive significance level is: .10Based on this we:OTTReject the null hypothesisFail to reject the null hypothesisX (to 3 decimals)o(to 2 decimals)

Solution: Let X be the GPA. From the given information, x-bar=1.97, S=0.08 and n=35. The given claim…

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 3.2 at the .10 significance level. The null and alternative hypothesis would be: Ho: u = 3.2 Ho:p= 0.8 Ho: u 3.2 Ho:p= 0.8 Ho:u = 3.2 Ho:p 0.8 H1: µ + 3.2 H1:p > 0.8 H1:u 3.2 H1:p 0.8 The test is: left-tailed right-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 3.18 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 Fail to reject the null hypothesis O 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 0.2 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:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF 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 The test is: left-tailed two-tailed right-tailed Based on a sample of 40 men, 30% owned catsBased on a sample of 60 women, 35% 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 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=0.7Ha:p≠0.7 H0:p=0.7Ha:p>0.7 H0:μ=0.7Ha:μ<0.7 H0:p=0.7Ha:p<0.7 H0:μ=0.7Ha:μ≠0.7 H0:μ=0.7Ha:μ>0.7 Is the test Right tailed, LEft tailed or two tailed? Based on a sample of 400 people, 78% 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 larger than 2.2 at the .10 significance level. The null and alternative hypothesis would be: Họ:p = 0.55 Họ : µ = 2.2 Ho: µ = 2.2 Ho:µ = 2.2 Ho:p = 0.55 Ho:p = 0.55 H1:p 0.55 H1:µ + 2.2 H1:µ > 2.2 H1: µ 0.55 H1:p < 0.55 %3D The test is: left-tailed two-tailed right-tailed Based on a sample of 75 people, the sample mean GPA was 2.23 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: OFail to reject the null hypothesis Reject the nul hypothesis
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 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 The test is: left-tailed two-tailed right-tailed Based on a sample of 400 people, 77% 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 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: Ho: HM H1: HM µf Ho: µF H1: µM < µF H1:PM < PF H1:PM µF Ho:PM PF H1:HM # µF H1:PM # PF µF Ho: µM PF Ho: рм = PF Ho: :HM рм — PF The test is: left-tailed right-tailed two-tailed Based on a sample of 80 men, 35% owned cats Based on a sample of 80 women, 45% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: 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 80% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.8H1:μ<0.8 H0:μ=0.8H1:μ>0.8 H0:p=0.8H1:p≠0.8 H0:p=0.8H1:p>0.8 H0:μ=0.8H1:μ≠0.8 H0:p=0.8H1:p<0.8 Based on a sample of 40 people, 73% owned catsThe test statistic is? (to 3 decimals)The positive 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 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: Ho: M = μF Ho: PM = PF Ho: PM = PF Ho: PM = PF Ho: M = μF Ho: M = μF H₁ μM PF H₁:PM > PF H₁:PM PF H₁:PM ME O O The test is: two-tailed right-tailed left-tailed O Based on a sample of 40 men, 25% owned cats Based on a sample of 40 women, 35% owned cats The test statistic is: decimals) The critical value is: O Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals) Based on this we: (to 2
Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.1 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: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 H0:μ≥2.4H0:μ≥2.4H1:μ<2.4H1:μ<2.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 45 people, the sample mean GPA was 2.43 with a standard deviation of 0.04The 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 men who own cats is significantly different than 60% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ<0.6H1:μ<0.6 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 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:μ=0.6H0:μ=0.6H1:μ>0.6H1:μ>0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 60 people, 66% owned catsThe 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 mean GPA of night students is larger than 2.6 at the .025 significance level.The null and alternative hypothesis would be: H0:μ=2.6H0:μ=2.6H1:μ>2.6H1:μ>2.6 H0:p=0.65H0:p=0.65H1:p<0.65H1:p<0.65 H0:p=0.65H0:p=0.65H1:p≠0.65H1:p≠0.65 H0:μ=2.6H0:μ=2.6H1:μ≠2.6H1:μ≠2.6 H0:μ=2.6H0:μ=2.6H1:μ<2.6H1:μ<2.6 H0:p=0.65H0:p=0.65H1:p>0.65H1:p>0.65 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.64 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
A janitor at a large office building believes that his supply of light bulbs has a defect rate that is higher than the defect rate stated by the manufacturer. The janitor's null hypothesis is that the supply of light bulbs has a manufacturer's defect rate of p=0.09. He performs a test at a significance level of 0.01. The null and alternative hypothesis are as follows: Ho: p=0.09 and Ha p>0.09. Choose the statement that best describes the significance level in the context of this scenario O a. The probability of concluding that the defect rate is equal to 0.00 when in fact it is greater than 0.00 Ob The test statistic that we will use to compare the observed outcome to the null hypothesis Oc The probability of concluding the defect rate is more than 0.09 when it is equal to 0.00 Od. The defect rate we believe is the true defect rate

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