Explanation:
Range of sample means = mean ± 1.96 × (σ / √n)
= 12 ± 1.96 × (16 / √140)
= 12 ± 2.65
= between 9.35 and 14.65
(Book 2, Module 17.1, LO 17.d)
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Question 73
Suppose the standard deviation of a normal population is known to be 16, and the mean is hypothesized to be 12. Assuming the sample size is 140, what is the range of sample means that allows the hypothesis to be accepted at a 5% level of significance?
A
Between 10.15 and 13.45.
B
Between 10.35 and 13.65.
C
Between 9.15 and 14.45.
D
Between 9.35 and 14.65.
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