Question

Suppose you want to determine whether there is a significant difference in mean test scores for females and males. The test is out of 600 points. Using the following hypotheses:

Ho: U1 - U2 = 0

HA: U1 - U2 (not equal) 0 And alpha of 0.05 you obtain the following results

t-test Two-sample assuming unequal variances

Females   Males

Mean 525 487

Variance 3530.8 2677.818182

Observations 16 12

Hypothesized Mean Difference 0

df 25

t stat 1.803753

P (T<=t) one tail 0.041667

t critical one tail 1.708141

P (T<=t) two-tail 0.083335

t critical tow tail 2.059539

What is the best answer:

A - Do not reject the null hypotheses

B - Reject both the null and alternative hypotheses

C - Reject the hypotheses

D - We do not have enough information to make a decision

Answer 1

Answer
Given that

Ho: U1 - U2 = 0

HA: U1 - U2 (not equal) 0

And alpha of 0.05

Using the result given, we get p value

P (T<=t) two-tail 0.083335

we can see that the p value is greater than the significance level of 0.05, i.e. 0.0833 > 0.05

Result is insignificant, so we do not reject the null hypothesis.

option A is correct

A - Do not reject the null hypotheses