Question 8

In an experiment to compare two diets for fattening beef steers, nine pairs of animals were chosen from the herd; members of each pair were matched as closely as possible with respect to hereditary factors. The members of each pair were randomly allocated, one to each diet. Use a significance level of 0.15. Use the following R output to answer the following questions:

Paired t-test

data: diet1 and diet2

t = 1.1585, df = 8, p-value = 0.14

alternative hypothesis: true difference in means is greater than 0

95 percent confidence interval:

-13.85051 Inf

sample estimates:

mean of the differences

22.88889

a) Is this a one sample or a two sample hypothesis test (1 or 2)?

b) If there are two samples, are they independent or dependent (independent/dependent/NA)?

c) What is the sign of the alternative hypothesis (less/greater/not equal)?

d) What is the p-value rounded to 4 decimal places?

e) Interpret the result based on the result of the hypothesis test in a sentence or two. Make sure you state in your sentence(s) whether you reject or fail to reject.