Question

Your survey was conducted the ask 1005 people how many books they had read in the past year results indicate the X equals 11.3 books and S equals 16.6 books construct a 99% confidence interval for the mean number of books people read

Answer 1

Answer: To construct a 99% confidence interval for the mean number of books people read, we can use the following formula:

CI = X ± Z*(S/sqrt(n))

where:

X = sample mean (11.3)

S = sample standard deviation (16.6)

n = sample size (1005)

Z = the z-score for the confidence level (99%)

To find the z-score for the 99% confidence level, we can look up the value in a standard normal distribution table or use a calculator. The z-score for a 99% confidence level is 2.576.

Substituting the values into the formula, we get:

CI = 11.3 ± 2.576*(16.6/sqrt(1005))

CI = 11.3 ± 2.576*(0.524)

CI = 11.3 ± 1.35

Therefore, the 99% confidence interval for the mean number of books people read is (9.95, 12.65). We can be 99% confident that the true population mean falls within this interval.

Explanation: