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.
Which of these is a correct 95% confidence statement for the interval in the previous question?
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.

Question

Quizplus · Accepted Answer

A is the correct choice because it accurately states that we are 95% confident that the true population mean falls within the computed interval. Option B is incorrect because it states that we are 95% confident that the sample mean falls within the interval, which is not a meaningful statement. Option C is incorrect because it implies that the interval encompasses 95% of the individual data points, which is not true. Option D is incorrect because it implies that 95% of the sample falls within the interval, which is not necessarily true.

In a Simple Random Sample of 100 Women from Richmond