A random sample of 15 items is taken, producing a sample mean of 2.364 with a...
A random sample of 15 items is taken, producing a sample mean of 2.364 with a sample variance of .81. Assume x is normally distributed and construct a 90% confidence interval for the population mean. Appendix A Statistical Tables (Round the answers to 3 decimal places.)
1.672 ≤ μ ≤ 3.056 (wrong)
Homework Answers
Solution :
Given that,
t
/2,df = 1.761
Margin of error = E = t/2,df
* (s /
n)
= 1.761 * (0.9 /
15)
Margin of error = E = 0.409
The 90% confidence interval estimate of the population mean is,
- E 
+ E
2.364 - 0.409
2.364 + 0.409
1.955
2.773
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