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1. TRUE or FALSE State whether the statement is true or false, and also give a...

1. TRUE or FALSE State whether the statement is true or false, and also give a brief sentence explaining why you believe this.

(a) If we decrease the confidence level for a fixed n, we decrease the width of the confidence interval.

(b) A research article reports that a 95% confidence interval for mean reaction time is from 0.25 to 0.29 seconds. About 95% of individuals will have reaction times in this interval.

c) In a hypothesis test, a p-value of 0.035 is observed. This means we would reject the null hypothesis at a significance level of α = 0.01.

d)If a null hypothesis is rejected at a 0.01 significance level, it will also be rejected at a 0.05 significance level.

(e) If the test statistic falls outside of the rejection region, the null hypothesis has been proven to be true.

(f) A 95% confidence interval for a population mean µ is calculated to be (20.16, 20.42). If a test of H0 : µ = 20.1 against Ha : µ 6= 20.1 is conducted at a significance level of α = 0.05 using the same sample, the decision would be to retain H0.

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