Help please. Assume that a sample is used to estimate apopulation mean u. Find the 99% confidenceinterval for a sample of size 68 with a mean of36.2 and a standard deviation of 18.9. Enter youranswer as an open-interval (i.e., parentheses)accurate to 3 decimal places.99% C.I. =The answer should be obtained without anypreliminary rounding.

Name: Help please. Assume that a sample is used to estimate apopulation mean
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Description: Help please. Assume that a sample is used to estimate apopulation mean u. Find the 99% confidenceinterval for a sample of size 68 with a mean of36.2 and a standard deviation of 18.9. Enter youranswer as an open-interval (i.e., parentheses)accurate to

Answered: Assume that a sample is used to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Help please.

Assume that a sample is used to estimate a
population mean u. Find the 99% confidence
interval for a sample of size 68 with a mean of
36.2 and a standard deviation of 18.9. Enter your
answer as an open-interval (i.e., parentheses)
accurate to 3 decimal places.
99% C.I. =
The answer should be obtained without any
preliminary rounding.

Expert Solution

Step 1

Obtain the 99% confidence interval to estimate the population mean.

The 99% confidence interval to estimate the population mean is obtained below:

The formula for the Confidence interval for mean is:

Obtain the degrees of freedom.

The degrees of freedom is obtained below:

Use EXCEL Procedure for finding the critical value of t.

Follow the instruction to obtain the critical value of t:

Open EXCEL
Go to Formula bar.
In formula bar enter the function as“=TINV”
Enter the probability as 0.01.
Enter the degrees of freedom as 67.
Click enter

EXCEL output:

From the EXCEL output, the critical value of t at 0.01 level of significance with the 67 degrees of freedom is 2.6512.

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