A researcher wanted to test whether males and females differed intheir ability t

Question

A researcher wanted to test whether males and females differed intheir ability to remember items on a “to do” list. Herandomly selected 36 male students and 36 female students toparticipate in his study. Each student was presented with a list of25 items to study for five minutes. The number of items the studentcould remember after watching a half-hour-long sitcom was recordedfor each student. The data obtained are presented below:
Males: nm = 36 m = 10.47 and sm = 3.64
Females: nf = 36 f = 8.72 and sf = 2.56
Difference: nd = 36 = -1.75 and sd = 3.85
a) State the null hypothesis and the alternative hypothesis. Makesure you clearly indicate which parameter is for males and which isfor females.
Ho:
Ha:
b) Calculate the test statistic. Specify which test statistic youare finding (“z” or “t”).
c) Find the p-value using the appropriate table. Draw the curve andhighlight the corresponding area.
d) At a significance level of 0.05, would you reject or retain thenull hypothesis. Circle your response and explain why you chosethis response, using the p-value you found in part c.
Reject Ho / Do NOT Reject Ho Why?
e) Interpret the result. Make sure to include the weight of theevidence, the conclusion, and the significance level.

Explanation / Answer

(a) Ho: difference=0      Ha: differerence not equal 0 (b) The test statsitic is t=-1.75/(3.85/36) =-2.73 (c) The p-value is 2*P(t(df=n-1=35)

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