Question

A jar of peanuts is supposed to have 16 ounces of peanuts. The filling machine inevitably experiences fluctuations in​ filling, so a​ quality-control manager randomly samples 12 jars of peanuts from the storage facility and measures their contents. She obtains the accompanying data. Complete parts​ (a) through​ (d) below.

Jar values

15.93
15.73
16.19
15.36
15.82
15.84
15.56
16.15
15.79
15.42
16.28
16.51

​(b) Determine the sample standard deviation.

s=?

​(Round to three decimal places as​ needed.)

​(c) Construct a 95​%

confidence interval for the population standard deviation of the number of ounces of peanuts. 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 95​% confidence that the population standard deviation is between nothing and nothing.

B.There is a 95​% chance that the true population standard deviation is between nothing and nothing.

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

​(d) The quality control manager wants the machine to have a population standard deviation below 0.20 ounce. Does the confidence interval validate this​ desire?

A. No—the lower bound of the confidence interval is greater than .20

B.

Yes.—the lower bound of the confidence interval is less than

.20.

C.

Yes—the lower bound of the confidence interval is greater than.20.

D.

No —the lower bound of the confidence interval is less than

.20.

Answer 1

(d) No—the lower bound of the confidence interval is greater than .20