A college student is interested in whether there is a differ

A college student is interested in whether there is a difference between male and female students in the amount of time spent studying each week. The student gathers information from a random sample of male and female students. Amount of time spent studying is normally distributed.

Males:

27,25,19,10,16,22,14

Females:

25, 29, 18, 23, 20, 15, 19

a: What statistical test should be used to analyze these data?

b: Indentify Ho and Ha for this study.

c: Conduct the appropriate analysis.

d: Should Ho be rejected? What should the researcher conclude?

e: If signifiant, compute the effect size and interpret.

f: If significant, draw a graph representing the data.

Solution

a) t statistical test should be used as sample size <30.

b) H0: mu1 = mu2

    Ha: mu1 not equal to mu2

Two tailed test

c) The T-value is 0.783523.

The P-Value is 0.448509.

The result is not significant at p < 0.05

d)The researcher need not reject H0.

The difference between males and females is not statistically significant at 5% level.