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.

LOADING...

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**

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