Question

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=0.333. Construct and interpret a 95​% confidence interval for the standard deviation pH of rainwater in this region. 4.67 5.23 5.09 4.70 4.69 4.80 5.77 4.87 4.91 4.62 4.72 4.66 Click the icon to view the table of critical values of the​ chi-square distribution. 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. There is a 95​% probability that the true population standard deviation is between nothing and nothing.

B. If repeated samples are​ taken, 95​% of them will have the sample standard deviation between nothing and nothing.

C. There is 95​% confidence that the population standard deviation is between nothing and nothing.

Answer 1

The sample values as shown in the table below:

Observation:	X	X2
1	4.67	21.8089
2	5.23	27.3529
3	5.09	25.9081
4	4.7	22.09
5	4.69	21.9961
6	4.8	23.04
7	5.77	33.2929
8	4.87	23.7169
9	4.91	24.1081
10	4.62	21.3444
11	4.72	22.2784
12	4.66	21.7156
Sum =	58.73	288.6523

B. If repeated samples are​ taken, 95​% of them will have the sample standard deviation between and

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