Question

A survey was conducted that asked

10111011

people how many books they had read in the past year. Results indicated that

x overbarxequals=11.411.4

books and

sequals=16.616.6

books. Construct a

9595​%

confidence interval for the mean number of books people read. Interpret the interval.

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Click the icon to view the table of critical​ t-values.

Construct a

9595​%

confidence interval for the mean number of books people read and interpret the result. 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.If repeated samples are​ taken,

9595​%

of them will have a sample mean between

_____

and

______

B.There is a

9595​%

probability that the true mean number of books read is between

_____

and

______

C.There is

9595​%

confidence that the population mean number of books read is between

_____

and

_____

Answer 1

To calculate 95% confidence interval, we need to find tc (Critical t value) as population standard deviation is not given

For 95% CI and dof = n-1 = 1011 -1 = 1010, tc = 1.962

Confidence Interval is given by

So,

There is 95% confidence that the population mean number of books read is between 10.376 and 12.424

Option C is the right answer