SOLUTION: Kindergarten children have heights that are approximately normally distributed about a mean of 39.5 inches and a standard deviation of 2.8 inches. If a random sample of 24 is taken

Question 1103808: Kindergarten children have heights that are approximately normally distributed about a mean of 39.5 inches and a standard deviation of 2.8 inches. If a random sample of 24 is taken, what is the probability that the sample of kindergarten children has a mean height of less than 37.8 inches? (Give your answer correct to four decimal places.)
statistics problem
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is a t-test
t=(xbar-mean)/s/sqrt(n)
calculation is t=(37.8-39.5)/(2.8)/sqrt(24)
t=-1.7*sqrt(24)/2.8=-2.97
probability of t <-2.97 is 0.0034
RELATED QUESTIONS
Kindergarten children have heights that are approximately normally distributed about a... (answered by Boreal)

Kindergarten children have heights that are approximately normally distributed about a... (answered by rothauserc)

Ask Your Teacher My Notes . Ask Your Teacher (answered by ewatrrr)

The heights of students in aclass are approximately normally distributed about a mean of... (answered by ikleyn)

The heights of American men aged 18 to 24 are approximately normally distributed with... (answered by edjones)

Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by math_tutor2020)

The ages of all kindergarten children are normally distributed with mean 4 years and... (answered by stanbon)

Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by Theo)

A half-century ago, the mean height of women in a particular country in their 20s... (answered by stanbon)