# Suppose that randomly sampled college students are asked how many hours they typically spend online.

Suppose that randomly sampled college students are asked how
many hours they typically spend online each day. You conduct a two-sided test
of the null hypothesis that females
males
= 0, and you also calculate a 95% confidence interval for females − males.

a. Describe (in words) what the parameter females − males means here.

b. Now suppose that your friend analyzes the same data but
with the order of subtraction reversed (males − females, rather than
females − males). Describe the impact (if any) on each of the following.
In other words, describe how your friend’s findings will compare to yours with
regard to each of the following.

i. Distribution of simulated statistics under the null
hypothesis

ii. Standard deviation of the simulated statistics under
the null hypothesis

iii. Observed value of the statistic (difference in sample
means)

iv. Approximate p-value from simulation

v. Value of t-test statistic

vi. P-Value from t-test

vii. Midpoint of confidence interval

viii. Endpoints of confidence interval

ix. Width of confidence interval

c. What is the bottom line: Will you and your friend reach
the same conclusions even though you disagreed about the order in which to
perform the subtraction (males − females or females − males)?
Explain.

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