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An agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days.
(a) State the null and alternative hypotheses, and identify which represents the claim,
(b) Describe type I and type II errors for a hypothesis test of the claim,
(c) Explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,
(d) Explain how you should interpret a decision that rejects the null hypothesis,
(e) Explain how you should interpret a decision that fails to reject the null hypothesis.
The following is a set of data from a sample of n = 5:
7 4 9 8 2
a. Compute the first quartile (Q1), the third quartile (Q3) and the interquartile range.
b. List the five-number summary.
c. Construct a boxplot and describe its shape.