4.A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week period the student gathers information from a random sample of male and female students on campus. The amount of time spent studying is normally distributed. The data are:Male      Female27          2525           29          19           1810           23          16           2022           1514           19 What statistical test should be done to analyze these data?Identify Ho and Ha for this study.Conduct the appropriate analysis.Should Ho be rejected? What should the researcher conclude?If significant, compute and interpret the effect size.

Question
Asked Oct 21, 2019

4.A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week period the student gathers information from a random sample of male and female students on campus. The amount of time spent studying is normally distributed. The data are:

Male      Female

27          25

25           29          

19           18

10           23          

16           20

22           15

14           19

 

  1. What statistical test should be done to analyze these data?
  2. Identify Ho and Ha for this study.
  3. Conduct the appropriate analysis.
  4. Should Ho be rejected? What should the researcher conclude?
  5. If significant, compute and interpret the effect size.
check_circleExpert Solution
Step 1

1.

Here the samples are drawn from the normal population and the population standard deviations are unknown.

Thus, we can use t- test for difference in means of male and female

Step 2

2.

The null and alternative hypotheses are stated below:

 

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Step 3

3.

Step-by-step procedure to obtain the test statistic using Excel software:

  • First enter the values of Male, Female into the columns of A and B.
  • Select Data option.
  • Go to Data analysis and click on t-test of two samples with unequal variances.
  • Click on
  • Select the ranges of Male and Female.
  • Choose hypothesized mean difference is
  • Select on Labels and choose Alpha as 0.05.
  • Click...
t-Test: Two-Sample Assuming Unequal Variances
Female
Male
Mean
19 21.28571429
Variance
37.33333 22.23809524
Observations
7
7
Hypothesized Mean Difference
df
11
tStat
-0.78352
PIT<=t) one-tail
0.224931
t Critical one-tail
1.795885
PIT<=t) two-tail
0.449861
Critical two-tail
2.200985
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t-Test: Two-Sample Assuming Unequal Variances Female Male Mean 19 21.28571429 Variance 37.33333 22.23809524 Observations 7 7 Hypothesized Mean Difference df 11 tStat -0.78352 PIT<=t) one-tail 0.224931 t Critical one-tail 1.795885 PIT<=t) two-tail 0.449861 Critical two-tail 2.200985

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Hypothesis Testing

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