Question

A survey was conducted that asked 1008 people how many books they had read in the last past year. resulted indicated that x=14.8 books and s=16.6 books. construct a 99% confidence in role for the main number of books people read interpret the interval.

Answer 1

To construct a 99% confidence interval for the mean number of books people read, we can use the formula CI = x +/- Z * (s / sqrt(n)). Plugging in the values, we get a confidence interval of (13.46, 16.14). This means we can be 99% confident that the true mean number of books people read is between 13.46 and 16.14.

Step-by-step explanation:

To construct a confidence interval for the mean number of books people read, we can use the formula:

CI = x +/- Z * (s / sqrt(n))

Where:

• CI is the confidence interval
• x is the mean number of books (14.8)
• Z is the z-score corresponding to the desired confidence level (2.57 for a 99% confidence level)
• s is the standard deviation (16.6)
• n is the sample size (1008)

Plugging in the values, we get:

CI = 14.8 +/- 2.57 * (16.6 / sqrt(1008))

Simplifying the expression gives us the confidence interval:

CI = 14.8 +/- 2.57 * (16.6 / 31.81)

CI = 14.8 +/- 1.34

Therefore, the 99% confidence interval for the mean number of books people read is approximately (13.46, 16.14).

This means we can be 99% confident that the true mean number of books people read is between 13.46 and 16.14.