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. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts​ a) through​ d) below. 5.05 5.72 5.24 4.80 5.02 4.59 4.74 5.19 5.29 4.76 4.56 5.70 LOADING... Click the icon to view the table of critical​ t-values. ​(a) Determine the population mean?

(b) Construct and interpret a

95%

confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice.

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

A.

There is a

95%

probability that the true mean pH of rain water is between

nothing

and

nothing .

B.

If repeated samples are​ taken,

95%

of them will have a sample pH of rain water between

nothing

and

nothing .

C.

There is a 95

confidence that the population mean pH of rain water is between ? and ?

#### Homework Answers

Answer #1
 Values ( X ) 5.05 0 5.72 0.4422 5.24 0.0342 4.8 0.065 5.02 0.0012 4.59 0.2162 4.74 0.0992 5.19 0.0182 5.29 0.0552 4.76 0.087 4.56 0.245 5.7 0.416 Total 60.7 1.6794

Mean

Standard deviation

Confidence Interval

Lower Limit =
Lower Limit = 4.8068
Upper Limit =
Upper Limit = 5.3032
95% Confidence interval is ( 4.81 , 5.30 )

C. There is a 95 confidence that the population mean pH of rain water is between 4.81 and 5.30.

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