Given sample informatio: displaystyleoverline{{{x}}}={34},sigma={4},{n}={10} to calculate the following confidence intervals for displaystylemu assuming the sample is from a normal population. 99 percent confidence. (Round your answers to 4 decimal places.)

amanf 2021-02-25 Answered
Given sample informatio: x=34,σ=4,n=10 to calculate the following confidence intervals for μ assuming the sample is from a normal population.
99 percent confidence. (Round your answers to 4 decimal places.)
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Expert Answer

Usamah Prosser
Answered 2021-02-26 Author has 86 answers

Step 1
Solution:
Given that,
Sample size n=10
Sample mean x=34
Population standard deviation σ=4
Step 2
99 percent confidence interval:
Critical value:
The z-critical value at 99% confidence level is 2.58.
Margin of error:
The margin of error is calculated as given below:
E=zc(σn)
=2.58(410)
=3.2635
Calculation:
The 99% confidence interval for population mean can be calculated as follows:
CI=x±E
=34±3.2635
=(30.7365,36.2635)
Hence, the 99% confidence interval for population mean is (30.7365,36.2635).

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