Question

A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently selected from students at a large, public Midwestern university. Although the samples were not selected at random, they were selected to be representative of the two populations.

For the sample of users of the website, the mean number of hours studied per day was 1.41 hours and the standard deviation was 0.83 hours. For the sample of students who do not use the website, the mean was 2.71 hours and the standard deviation was 0.99 hours. Do these sample data provide convincing evidence that the mean time spent studying for users of the website at this university is less than the mean time spent studying by students at the university who do not use the website? Use a significance level of 0.01. (Use a statistical computer package to calculate the P-value. Use μ_users − μ_{not users}. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)

t	=
df	=
P-value	=

State your conclusion.

Reject H₀. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website.Do not reject H₀. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website.    Do not reject H₀. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website.Reject H₀. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website.

Answer 1

t =-9.36

df =-9.36

p value=0.000

Reject H₀. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website.