Question

5. A local college newsletter reported that the average American college shudent spends one hour (00 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 Let pi be the mean daily time spent on the website for male colege students and p2 be the mean daily time spent on the website for female college students. Determine the hypotheses. Choose the correct answer below Determine the test statistic Round to two decimal places as needed.) Find the p-value. p-value- Choose the correct conclusion below OA. Donot reject Ho There is insuficient evidence that he means omer ○ B. Reject Hy . There is sufficient evidence thot the means differ. O C. Do not reject Ho. There is suficient evidence that the means differ Round to three decimal places as needed.) D. Reject Ho . There is insufficient evidence that the means dter b. In addition to equal variances, what other assumption is necessary in (a)? O A. In addition to equal variances,t must be assumed thst the popuiation sises are equa n to equal variances, no other assumptions must be made because the sample sizes are large enough (2 30 for each sample). O C. In addition to equal variances,it must be assumed that the samples are specicaily chosen and not independently sampled. In addition to equal variances, it must be assumed that the sample means at equal O D. 1: Sample times iprintimh

Answer 1

Answer:

a). B.

t stat = 1.92

P value =0.059

A). Do not reject Ho. There is insufficient evidence that the means differ.

B). In addition to equal variances, no other assumptions must be made because the sample size are large enough( ≥30 for each sample).

Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference	0
Level of Significance	0.05
Population 1 Sample male
Sample Size	30
Sample Mean	159
Sample Standard Deviation	203.5182
Population 2 Sample female
Sample Size	30
Sample Mean	84.5
Sample Standard Deviation	59.4856
Intermediate Calculations
Population 1 Sample Degrees of Freedom	29
Population 2 Sample Degrees of Freedom	29
Total Degrees of Freedom	58
Pooled Variance	22479.0948
Standard Error	38.7118
Difference in Sample Means	74.5000
t Test Statistic	1.9245
Two-Tail Test
Lower Critical Value	-2.0017
Upper Critical Value	2.0017
p-Value	0.0592
Do not reject the null hypothesis