a. Find a 95% confidence interval for the difference in treatment means (mu_1 -

Question

a. Find a 95% confidence interval for the difference in treatment means (mu_1 - mu_2) using the paired data in the table below. Show work. b. Interpret the interval you found in part a. A researcher came across an article that suggested it was healthy to have more than one close confidant, someone you can discuss matters that are important to you. This led the researcher to wonder how many close friends people in his community had, on average, and if this average was greater than 1. a. Using this information, what is the null and alternative hypotheses? Write them using statistical notation.

Explanation / Answer

using minitab

Paired T for treatmetn1 - treatment2

N Mean StDev SE Mean
t1 5 26.80 3.42 1.53
t2 5 23.00 4.64 2.07
Difference 5 3.80 3.49 1.56

95% CI for mean difference: (-0.54, 8.14)
T-Test of mean difference = 0 (vs 0): T-Value = 2.43 P-Value = 0.072

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