This is a list of 2015 college graduates and their graduatin

This is a list of 2015 college graduates and their graduating GPA\'s.

a. Using any type of statistical test, is there a significance of gender on the higher GPA. Show work.

b. Does being involved in an extracurricular activity impact a significantly higher or lower GPA, use a statistical test and show work

Solution

For both the cases, we can use the t test for two sample means.it is given by the formula

t=mean1-mean2/sqrt(var1/n1+var2/n2)

a)

Since p value is greater than 0.5, we accept the null hypothesis and conclude that female and male scores are equal.

b)

Since p value is less than 0.5, we reject H0 and conclude that extracurricular activity imapct the GPA.

Hypothesis Test: Independent Groups (t-test, pooled variance)
female male
3.356 3.304 mean
0.322 0.352 std. dev.
25 25 n
48 df
0.0520 difference (female - male)
0.1136 pooled variance
0.3370 pooled std. dev.
0.0953 standard error of difference
0 hypothesized difference
0.55 t
.5879 p-value (two-tailed)
This is a list of 2015 college graduates and their graduating GPA\'s. a. Using any type of statistical test, is there a significance of gender on the higher GPA

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