You are given following data, which represents two different students group and the time they spend for study per week. An instructor wants to know if there is a significance difference in average time spent between these two groups

The degrees of freedom (df) for this problem are given to be df = 50.

Group 1 Group 2

Sample Mean 30 40

Sample Standard Deviation 5 7

Sample Size 45 35

1.What is the null and alternative hypothesis if we want to determine whether the average time students spent on study within two groups is the same?

Ans:

H₀:

H_a: average time students spent on study within the two groups is different

Using a level of significance of 0.05, what is the rejection rule for this test using the critical value approach?

Ans:Reject H₀ if t (critical value which calculate by table) is greater than ....... or t is less than -.............

2.Calculate the (test) statistic.

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