Construct the confidence interval for the population mean  c= 0.95.      X with a line on top =16.4 standard D= 4.0.   And n= 70   A 95% confidence interval for the mean is (     ,      ). Round 2 1 Decimal Place if needed

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Construct the confidence interval for the population mean 

c= 0.95.      X with a line on top =16.4

standard D= 4.0.   And n= 70

 

A 95% confidence interval for the mean is (     ,      ). Round 2 1 Decimal Place if needed

Expert Solution
Step 1

Obtain the 95% confidence interval for the population mean.

The 95% confidence interval for the population mean is obtained below as follows:

The formula for the Confidence interval for mean is:

Statistics homework question answer, step 1, image 1

Obtain the critical value.

The degrees of freedom:

From the information, given that n=70.

Statistics homework question answer, step 1, image 2

Use EXCEL Procedure for finding the critical value of t.

 

Follow the instruction to obtain the critical value of t:

 

  1. Open EXCEL
  2. Go to Formula bar.
  3. In formula bar enter the function as“=TINV”
  4. Enter the probability as 0.05.
  5. Enter the degrees of freedom as 69.
  6. Click enter.

 

EXCEL output:

 

From the EXCEL output, the critical value of t at the 0.05 level of significance with the 69 degrees of freedom is 1.99495

 

 

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