If n={13}, (x)=31, and s=17, construct a confidence interval at a 99% confidence level.

Tammy Todd 2021-03-08 Answered

If n=13,(x)=31,ands=17, construct a confidence interval at a 99% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.

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Expert Answer

Nichole Watt
Answered 2021-03-09 Author has 100 answers

Step 1
Given:
Sample size, n=13
Sample mean, x=31
Sample standard deviation, s=17
The degree of confidence, c=99%or0.99
Level of significance,
α=1c
=10.99
=0.01
Let the population mean to be estimated using confidence intervals be μ
Step 2
The 99% confidence interval for the population mean is:
μ=x±ta2,dfsn
=31±t0.012,121713
=31±3.055×1713
=31±14.4
=(16.6,45.4)
Thus, the required 99% confidence interval for the population mean is:
16.6<μ<45.4

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