240 240 210 30 150 100 Daily time spent (in minutes) on the website for 30 males 150 930 45 30 10 5 720 300 60 210 210 2
Posted: Wed May 11, 2022 7:04 am
240 240 210 30 150 100 Daily time spent (in minutes) on the website for 30 males 150 930 45 30 10 5 720 300 60 210 210 210 60 120 270 30 120 20 45 60 150 60 15 30 Daily time spent (in minutes) on the website for 30 females 45 60 15 45 30 150 90 150 180 10 120 60 75 60 60 240 90 30 30 60 180 60 10 120 60 20 90 210 90 35
A local college newsletter reported that the average American college student spends one hour (60 minutes) on a social media website daily. But you wonder if there is a difference between males and females. Attached below is a sample of 60 users of the website (30 males and 30 females) and their recorded daily time spent on the website. Complete (a) and (b) below. Click the icon to view the sample times. a. Assuming that the variances in the population of times spent on the website per day are equal, is there evidence of a difference in the mean time spent on the website per day between males and females? (Use a 0.05 level of significance.) Let Hy be the mean daily time spent on the website for male college students and uz be the mean daily time spent on the website for female college students. Determine the hypotheses. Choose the correct answer below. O A. Ho: 447 742 H: H = 2 c. Ho: Hy <H2 H: 122 O B. Ho: H = H2 H, :Hq FH2 OD. Ho: My H2 H: <H2 Determine the test statistic. ESTAT = (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject Ho. There is sufficient evidence that the means differ. B. Reject Ho. There is sufficient evidence that the means differ. C. Reject Ho. There is insufficient evidence that the means differ. D. Do not reject Ho. There is insufficient evidence that the means differ.
b. In addition to equal variances, what other assumption is necessary in (a)? A. In addition to equal variances, it must be assumed that the samples are specifically chosen and not independently sampled. B. In addition to equal variances, no other assumptions must be made because the sample sizes are large enough (2 30 for each sample). OC. In addition to equal variances, it must be assumed that the sample means are equal. D. In addition to equal variances, it must be assumed that the population sizes are equal.
A local college newsletter reported that the average American college student spends one hour (60 minutes) on a social media website daily. But you wonder if there is a difference between males and females. Attached below is a sample of 60 users of the website (30 males and 30 females) and their recorded daily time spent on the website. Complete (a) and (b) below. Click the icon to view the sample times. a. Assuming that the variances in the population of times spent on the website per day are equal, is there evidence of a difference in the mean time spent on the website per day between males and females? (Use a 0.05 level of significance.) Let Hy be the mean daily time spent on the website for male college students and uz be the mean daily time spent on the website for female college students. Determine the hypotheses. Choose the correct answer below. O A. Ho: 447 742 H: H = 2 c. Ho: Hy <H2 H: 122 O B. Ho: H = H2 H, :Hq FH2 OD. Ho: My H2 H: <H2 Determine the test statistic. ESTAT = (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject Ho. There is sufficient evidence that the means differ. B. Reject Ho. There is sufficient evidence that the means differ. C. Reject Ho. There is insufficient evidence that the means differ. D. Do not reject Ho. There is insufficient evidence that the means differ.
b. In addition to equal variances, what other assumption is necessary in (a)? A. In addition to equal variances, it must be assumed that the samples are specifically chosen and not independently sampled. B. In addition to equal variances, no other assumptions must be made because the sample sizes are large enough (2 30 for each sample). OC. In addition to equal variances, it must be assumed that the sample means are equal. D. In addition to equal variances, it must be assumed that the population sizes are equal.