# T-Test - statistics

We have been working with one-sided and two-sided t tests but I do not know how to do this problem:

The observed time that 20 individuals spend standing and walking per day is reported in the following table:

Group n Mean Std. dev

Group 1 (lean) 10 525.751 107.121

Group 2 (obese) 10 373.269 67.498

(a) Test the null hypothesis that there is no difference in mean time per day

spend standing or walking between the two groups against a two sided

alternative at = 0:01 significance. Report your test statistic, a bound

for your p-value, and your conclusions regarding the null hypothesis.

(b) Verify your results with an appropriate confidence interval. Does this

confidence interval support your conclusions in part (a)?

https://brainmass.com/statistics/hypothesis-testing/test-statistics-566593

#### Solution Preview

Please refer to the attachment.

Problem:

The observed time that 20 individuals spend standing and walking per day is reported in the following table:

Group n Mean Std. dev

Group 1 (lean) 10 525.751 107.121

Group 2 (obese) 10 373.269 67.498

(a) Test the null hypothesis that there is no difference in mean time per day spend standing or walking between the two groups against a two sided alternative at = 0:01 significance. Report your test statistic, a bound for your p-value, and your conclusions regarding the null hypothesis.

(b) ...

#### Solution Summary

The solution comprises of detailed step-by-step calculation and discussion of two-sample hypothesis t-test and confidence interval pertaining to the given data.