Question

The mean height of women in a country (ages 20-29) is 63.7 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume

= 2.96

Answer 1

The question involves using the normal distribution and Z-score calculation to find the probability that the sample mean height is greater than a specific value.

Step-by-step explanation:

The task involves finding the probability that the mean height for a sample is greater than a given value, using the normal distribution. Since the standard deviation is known, we can use the Z-score formula to calculate this probability.

Once the Z-score is calculated, we can refer to the standard normal distribution table or use software to find the probability that Z is greater than this value, giving us the probability that the sample mean height exceeds 64 inches.