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# T-Test - statistics

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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

(b) Verify your results with an appropriate confidence interval. Does this
confidence interval support your conclusions in part (a)?

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#### Solution Preview

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.

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