In: Statistics and Probability
This problem is using Minitab
2. The heights of Kindergarten children have an average of 39 inches and a standard deviation of 5 inches. A random sample of size n = 52 is taken and the mean is calculated.
Solve the following questions using Minitab (Remember
to show the outputs of Minitab):
c. What is the probability that the value of the mean
is greater than 38?
d. What is the probability that the value of the mean
is less than 37?
e. What average stature has an accumulated probability of 0.92?
Since the sample size is large enough, we can approximate the distribution of sample mean by normal distribution.
Let denotes the sample mean for a random sample of size 52.
or