Question

In: Statistics and Probability

Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...

Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population.

13.7 11.6 11.9 12.5 12.5 11.4 12.0
11.7 11.8 13.7


Appendix A Statistical Tables


(Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.)

90% confidence interval:

μ


95% confidence interval:

μ


99% confidence interval:

μ



The point estimate is

.

Solutions

Expert Solution

  The 90% confidence interval is

The 95% confidence interval

The 99% confidence interval  

The point estimate is

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We shall calculate the mean and sd from the data. We shall make use of the following table of squares and sum.

x x^2
13.7 187.69
11.6 134.56
11.9 141.61
12.5 156.25
12.5 156.25
11.4 129.96
12 144
11 121
11.8 139.24
13.7 187.69
Total 122.1 1498.25

The confidence interval for the mean is given by

The 90% confidence interval is

  

  

95% confidence interval

  

99% confidence interval

  

  

  The 90% confidence interval is

The 95% confidence interval

The 99% confidence interval  

The point estimate is


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