Question

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.

Daily_time_for_males	Daily_time_for_females
150	45
930	75
30	30
30	45
10	15
5	120
720	90
300	180
60	210
180	10
180	100
180	60
270	60
270	90
210	150
45	75
90	60
270	60
40	270
150	120
20	30
45	30
60	60
150	150
60	60
15	15
45	120
20	20
120	90
100	35

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 m1 be the mean daily time spent on the website for male college students and m2 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.

Find the​ p-value.

Choose the correct conclusion below.

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, it must be assumed that the sample means are equal.

C.In addition to equal​ variances, no other assumptions must be made because the sample sizes are large enough ​(greater than or equals≥30 for each​ sample).Your answer is correct.

D. In addition to equal​ variances, it must be assumed that the population sizes are equal.

Answer 1