Question

The following data represent the pH of rain for a random sample of 12 rain dates...

The following data represent the pH of rain for a random sample of

12

rain dates in a particular region. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. The sample standard deviation is

s=0.332

Construct and interpret a

90​%

confidence interval for the standard deviation pH of rainwater in this region.

4.634.63

5.195.19

4.934.93

4.894.89

4.714.71

4.754.75

5.705.70

4.854.85

5.125.12

4.654.65

4.664.66

4.46

Select the correct choice below and fill in the answer boxes to complete your choice.

​(Use ascending order. Round to three decimal places as​ needed.)

A.If repeated samples are​ taken,

90​%

of them will have the sample standard deviation between

nothing

and

nothing.

B.There is

9090​%

confidence that the population standard deviation is between

nothing

and

nothing.

C.There is a

90​%

Determine the number of degrees of freedom to use for the​ Chi-Square critical values.

Use the​ Chi-Square table to find the critical values using

degrees of freedom.​ First, find the left critical​ value, which is the critical value used to calculate the upper​ bound, rounding to three decimal places

Now construct the confidence interval for the population variance. Compute the lower​ bound, rounding to six decimal places.

probability that the true population standard deviation is between

nothing

and

nothing

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