A coffee manufacturer claims that the mean amount of coffee in its

5

-ounce jars is

5.1

ounces. Based on a sample of

50

jars, a consumer advocate group obtains the following

98%

confidence interval for the population mean weight,

:4.95

ounces to

5.05

ounces. Based on this interval, do you think that the manufacturers claim is plausible? Possible? Explain your thinking.

A We can be

98%

confident that the true mean weight lies between

4.95

and

5.05

ounces. Since this interval does not include the value

5.1

, the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is not impossible.

B. We can be

98%

confident that the true mean weight lies between

4.95

and

5.05

ounces. Since this interval does not include the value

5.1

, the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is impossible.

C. We can be

98%

confident that the true mean weight lies between

4.95

and

5.05

ounces. Since this interval includes the value

5.1

, the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is possible.

D. We can be

98%

confident that the true mean weight lies between

4.95

and

5.05

ounces. Since this interval does not include the value

5.1

, the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is not impossible.