In Exercise 9-5, calculate the probability of a type II

Chapter 9, Problem 8E

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QUESTION:

In Exercise 9-5, calculate the probability of a type II error if the true mean elongation is 11.5 kilograms and

(a) \(\alpha=0.05\) and \(n=4\)

(b) \(\alpha=0.05\) and \(n=16\)

(c) Compare the values of \(\beta\) calculated in the previous parts. What conclusion can you draw?

Questions & Answers

QUESTION:

In Exercise 9-5, calculate the probability of a type II error if the true mean elongation is 11.5 kilograms and

(a) \(\alpha=0.05\) and \(n=4\)

(b) \(\alpha=0.05\) and \(n=16\)

(c) Compare the values of \(\beta\) calculated in the previous parts. What conclusion can you draw?

ANSWER:

Step 1 of 4

In Exercise 9-5

Mean, \(\mu=12 \text { kilograms }\)

Standard deviation, \(\sigma=0.5 \text { kilograms }\)

The true mean elongation = 11.5

The hypothesis:

\(\begin{array}{l} H_{0}: \mu=11.5 \text { kilogram } \\ H_{1}: \mu<11.5 \text { kilogram } \end{array}\)

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