est the claim that the mean GPA of night students is larger than 2.5 at the .025 significance level. The null and alternative hypothesis would be: H0:μ=2.5H0:μ=2.5 H1:μ>2.5H1:μ>2.5 H0:p=0.625H0:p=0.625 H1:p>0.625H1:p>0.625 H0:μ=2.5H0:μ=2.5 H1:μ≠2.5H1:μ≠2.5 H0:p=0.625H0:p=0.625 H1:p≠0.625H1:p≠0.625 H0:p=0.625H0:p=0.625 H1:p<0.625H1:p<0.625 H0:μ=2.5H0:μ=2.5 H1:μ<2.5H1:μ<2.5 The test is: right-tailed left-tailed two-tailed Based on a sample of 30 people, the sample mean GPA was 2.54 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: 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 0.025 significance level.The null and alternative hypothesis would be:   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 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:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 The test is:   right-tailed left-tailed two-tailed Based on a sample of 600 people, 75% owned catsThe p-value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

You wish to test the following claim (Ha) at a significance level of a = 0.002. H.: µ1 < µ2 You obtain the following two samples of data. H.:µ1 = µ2 93.9 83.5 80.5 103.9 56.1 81.5 95.2 52 75.1 88 63.1 72 81.5 95.2 84.6 66.7 91.4 100.5 84 62 46 61.7 32.7 118.1 58.6 95.7 95.7 65.6 74.7 61.7 84.6 75.2 73.7 56.6 106.2 84 103.1 84.6 98.3 47.8 50.9 80 62.6 76.4 85.1 101 105.5 91.3 92.2 94.8 78.6 62.6 71.6 105.5 75.2 65.6 Sample #1 Sample #2 54.4 69.3 46.1 96.8 88.3 106.9 106.9 123.5 58.6 55.9 32.6 82 81 81 101 69 63.6 60.4 57.3 86.8 66.7 118.1 82.5 101 66.6 93 62.6 57.9 71.1 69.5 94.5 81.5 93.2 123.5 67.9 94.5 100.1 52 66.7 53.1 103.1 114.8 83.5 76.6 60.3 54.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =

You wish to test the following claim (Ha) at a significance level of α=0.01.       Ho:μ1=μ2       Ha:μ1>μ2 You obtain a sample of size n1=13 with a mean of M1=65.1 and a standard deviation of SD1=15.8 from the first population. You obtain a sample of size n2=14 with a mean of M2=49.4 and a standard deviation of SD2=8.3 from the second population.  Use the Theory-based inference applet to conduct the test of significance. (a)  What is the t-score for this sample?       t-score =   (Round to 2 decimal places.)  (b)  What is the p-value for this sample?      p-value =   (Round to 4 decimal places.) (c)  The p-value is... less than (or equal to) α   greater than α     (d)  This p-value leads to a decision to... strong evidence in support of the alternative accept the null null is plausible   (e)  As such, the final conclusion is that... We conclude that μ1>μ2 . We conclude that μ1=μ2 . We have statistically significant evidence to support the claim that μ1>μ2 ..…