A college sudent is interested in whether there is a difference between male and
ID: 3244594 • Letter: A
Question
A college sudent is interested in whether there is a difference between male and female students in the amount of time they spend studying each week. The student gathers information from a random sample of male and female students on campus. The amounts of time spent studying are normally distributed. The data are: 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 results?
b. Identify H0 and Ha for this study.
c. Conduct the appropriate analysis.
d. Should H0 be rejected? What should the researcher conclude?
e. If significant, compute and interpret the effect size.
f. If significant, draw a graph representing the data.
g. Determine the 95% confidence interval.
Show work please!
Explanation / Answer
Given the two samples of male and female collected on the basis of study hours we state the Hypothesis as
Null: H0 : There is no difference in study hours between male and female.
Alternative: H1 : There is difference in study hours between male and female.
Now since the data is normally distributed we can use the 2-sample t-test to test the
Hypothesis. Here we can take our level of significance as 0.05 or a confidence level of 95%.
Two-Sample T-Test and CI: Males, Females
Two-sample T for Males vs Females
N Mean StDev SE Mean
Males 7 19.00 6.11 2.3
Females 7 21.29 4.72 1.8
Difference = mu (Males) - mu (Females)
Estimate for difference: -2.29
95% CI for difference: (-8.71, 4.14)
T-Test of difference = 0 (vs not =): T-Value = -0.78 P-Value = 0.450 DF = 11
Individual Value Plot of Males, Females
Interpretation: Since the P-value(0.450) is greater than the significance level of (0.05) thus we can accept the null hypothesis and say that there is no difference in study hours for male and female.
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