In: Statistics and Probability
Do male college students spend more time than female college
students using a computer? This was one of the questions
investigated by the authors of an article. Each student in a random
sample of 46 male students at a university in England and each
student in a random sample of 38 female students from the same
university kept a diary of how he or she spent time over a
three-week period.
For the sample of males, the mean time spent using a computer per
day was 45.1 minutes and the standard deviation was 63.3 minutes.
For the sample of females, the mean time spent using a computer was
39.4 minutes and the standard deviation was 57.3 minutes. Is there
convincing evidence that the mean time male students at this
university spend using a computer is greater than the mean time for
female students? Test the appropriate hypotheses using
α = 0.05.
(Use a statistical computer package to calculate the P-value. Use μmales − μfemales. 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.
Fail to reject H0. We do not have convincing evidence that the mean time per day male students at this university spend using a computer is greater than the mean time for female students.Reject H0. We do not have convincing evidence that the mean time per day male students at this university spend using a computer is greater than the mean time for female students. Fail to reject H0. We have convincing evidence that the mean time per day male students at this university spend using a computer is greater than the mean time for female students.Reject H0. We have convincing evidence that the mean time per day male students at this university spend using a computer is greater than the mean time for female students.