In a simple random sample of 100 women from Richmond Virgini

In a simple random sample of 100 women from Richmond, Virginia, the average amount of money that these women spent per visit at their hair salons is $32.43. The standard deviation from this sample is $7.84. When a 95% confidence intervals is constructed, this interval is from $30.77 to $34.00. Which one of the following is a correct 95% confidence statement for this interval? Question 8 options: a) We are 95% confident that the mean amount of money that all women in Richmond spend per visit at their hair salons is within the computed interval. b) We are 95% confident that the mean amount of money that all women in the sample spend per visit at their hair salons is within the computed interval. c) The mean amount of money that 95% of women in Richmond spend per visit at their hair salons is within the computed interval. d) The mean amount of money that 95% of women in the sample spend per visit at their hair salons is within the computed interval.

Solution

a) We are 95% confident that the mean amount of money that all women in Richmond spend per visit at their hair salons is within the computed interval.