A local college newsletter reported that the average American college student spends one hour (60 minules) on a social media website daily. But you wonder if there is a difference between males and females. Allached below is a sample of 60 users of the websile (30 males and 30 females) and their recorded daily lime 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.) be the mean daily lime spent on the website for fernale college students. Let u, be the mean daily time spent on the website for male college students and Determine the hypotheses. Choose the correct answer below. OA H₂H₁ 2₂ H₂: Hy

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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A local college newsletter reported that the average American college student spends one hour (60 minules) on a social media websile daily. But you wonder if there
is a difference between males and females. Allached below is a sample of 60 users of the website (30 males and 30 females) and their recorded daily lime spent on
the website. Completa (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.)
be the mean daily lime spent on the website for fernale college students.
Let u, be the mean daily time spent on the website for male college students and
Determine the hypotheses. Choose the correct answer below.
OA. H₂H₂H₂
H₁: Hy <H₂
OC. Ho: H₂H₂
H₁: Hy > H₂
Determine the tost statistic.
ISTAT (Round to two decimal places as needed.)
B. H: ₁
H₂: Hy =H₂
OD. H₂H₁ H₂
H₂: Hy H₂
Daily time spent (in minutes) on the website for 30 males
180 930 45 30 10 5 690 300
60 90 210 40 150 30 60 45 180
Daily time spent (in minutes) on the website for 30 females
45 60 15 45 30 120 90 180 210
60 60 240
90
30 45 180
60
30
180
60 150 150 150 210 210
60 15 30 20 120 120
15 120 60
60
15 150
60 100 180
10 150 115
0
Transcribed Image Text:A local college newsletter reported that the average American college student spends one hour (60 minules) on a social media websile daily. But you wonder if there is a difference between males and females. Allached below is a sample of 60 users of the website (30 males and 30 females) and their recorded daily lime spent on the website. Completa (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.) be the mean daily lime spent on the website for fernale college students. Let u, be the mean daily time spent on the website for male college students and Determine the hypotheses. Choose the correct answer below. OA. H₂H₂H₂ H₁: Hy <H₂ OC. Ho: H₂H₂ H₁: Hy > H₂ Determine the tost statistic. ISTAT (Round to two decimal places as needed.) B. H: ₁ H₂: Hy =H₂ OD. H₂H₁ H₂ H₂: Hy H₂ Daily time spent (in minutes) on the website for 30 males 180 930 45 30 10 5 690 300 60 90 210 40 150 30 60 45 180 Daily time spent (in minutes) on the website for 30 females 45 60 15 45 30 120 90 180 210 60 60 240 90 30 45 180 60 30 180 60 150 150 150 210 210 60 15 30 20 120 120 15 120 60 60 15 150 60 100 180 10 150 115 0
Find the p-value.
p-value = (Round to three decimal places as needed.)
Choose the correct conclusion below.
O A. Reject Ho. There is sufficient evidence that the means differ.
B. Do not reject Ho. There is sufficient evidence that the means differ.
C.
Reject Ho. There is insufficient evidence that the means differ.
O 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 population sizes are equal.
B. In addition to equal variances, it must be assumed that the sample means are equal.
C. In addition to equal variances, it must be assumed that the samples are specifically chosen and not independently sampled.
OD. In addition to equal variances, no other assumptions must be made because the sample sizes are large enough (≥30 for each sample)
Transcribed Image Text:Find the p-value. p-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Reject Ho. There is sufficient evidence that the means differ. B. Do not reject Ho. There is sufficient evidence that the means differ. C. Reject Ho. There is insufficient evidence that the means differ. O 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 population sizes are equal. B. In addition to equal variances, it must be assumed that the sample means are equal. C. In addition to equal variances, it must be assumed that the samples are specifically chosen and not independently sampled. OD. In addition to equal variances, no other assumptions must be made because the sample sizes are large enough (≥30 for each sample)
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