The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers. The data are normally distributed and s=9.366 weeks. Construct and interpret a 95% confidence interval for the population standard deviation of the age (in weeks) at which babies first crawl. 49 31 43 34 39 25 46 35 55 26 37 29 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. If repeated samples are taken, 95% of them will have the sample standard deviation between nothing and nothing.
B. There is a 95% probability that the true population standard deviation is between nothing and nothing.
C. There is 95% confidence that the population standard deviation is between nothing and nothing.
the sample values as shown in the table below:
Observation: | X | |
1 | 49 | 2401 |
2 | 31 | 961 |
3 | 43 | 1849 |
4 | 34 | 1156 |
5 | 39 | 1521 |
6 | 25 | 625 |
7 | 46 | 2116 |
8 | 35 | 1225 |
9 | 55 | 3025 |
10 | 26 | 676 |
11 | 37 | 1369 |
12 | 29 | 841 |
Sum = | 449 | 17765 |
C. There is 95% confidence that the population standard deviation is between
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