A sample of 64 was taken from a population, with the mean of the sample being 43 and the standard deviation of the sample being
6. What is the 95% confidence interval for the mean of the population?
A. (42.25, 43.75)
B. (37.3, 48.7)
C. (41.5, 44.5)
D. (37, 49)
1 answer:
Answer:
C. (41.5, 44.5)
Step-by-step explanation:
Point estimate of population variance:
64(6²)/63
256/7
xbar +/- [z × sqrt(var/n)]
43 +/- [1.96 × sqrt(256/7 ÷ 64l]
43 +/- 1.481620735
[41.51837927 , 44.48162073]
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