Question
a random sample of 38 200 meter swims by a mean time of 3.98 minutes and...
a random sample of 38 200 meter swims by a mean time of 3.98 minutes and the population standard deviation is 0.08 minutes. Construct a 90% interval for the population mean time. interpret results
Homework Answers
Answer #1
n = sample size = 38
= sample
mean = 3.98
= population SD
= 0.08
SE = /
=
0.08/
=
0.0130
= 0.10
From Table, critical value of Z = 1.645
90% Confidence interval:
Z SE
= 3.98 1.645 X 0.0130
= 3.98 0.0213
= ( 3.9587, 4.0013)
Interpretation:
The 90% confidence interval (3.9587,4.0013) defines a range of
values that we can be 90% certain contains the population mean
.
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