Question

­­­­­­­­­­­­­­­­Q-10 (1 of 1)

A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 95% confidence interval for the mean and are assuming that the population standard deviation for the number of soft drinks consumed each week is 1.1. The study found that for a sample of 949 adults the mean number of soft drinks consumed per week is 3.6 Construct the desired confidence interval. Round your answers to one decimal place.

Answer 1

Solution :

Given that,

Sample size = n = 949

Z/2 = 1.96

Margin of error = E = Z/2* ( /n)

= 1.96 * (1.1 / 949)

= 0.1

At 95% confidence interval estimate of the population mean is,

- E < < + E

3.6 - 0.1 < < 3.6 + 0.1

3.5 < < 3.7

(3.5, 3.7)