Question

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 45.3 minutes and the standard deviation was 63.3 minutes. For the sample of females, the mean time spent using a computer was 39.1 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 μ_males − μ_females. 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=

Answer 1

Given that,

For males: n1 = 46, x1-bar = 45.3 minutes and s1 = 63.3 minutes

For Females : n2 =38, x2-bar =39.1 minutes and s2 =57.3 minutes

The null and alternative hypotheses are,

H0 : μmales - μfemales = 0

Ha : μmales - μfemales > 9

Using TI-83 plus calculator we get,

Test statistic = t = 0.47

Degrees of freedom = df = 81

p-value = 0.320