Satistics
posted by Benjamin .
In North American, female adult heights are approximately normal with a mean of 65 inches and a standard deviation of 3.5 inches.
a.) If one female is selected at Random, what is the probablility that shes has a height 70 inches or higher?
b.) The heights of 50 females were measured at a national collegiate volleyball tournament. The sample mean height was found to be 70 inches. using the population parameters given above, what is the probability of botaining a sample mean height of 70 inches or higher with a random sample of 50 females?
c.)Does the probability you found in (b) make you question the population mean stated for female heights? Justify why you believe this sample mean may not be representative of the population of female heights?

a. Z = (scoremean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.
b. This is a distribution of means rather than raw scores.
Z = (Sample mean population mean)/SEm
SEm (standard error of the mean) = SD/√(n1)
Use same table.
c. Might volleyball players be a biased sample?
Respond to this Question
Similar Questions

AP Stats
The distribution of heights of adult American men is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use the 689599.7 rule to answer the following questions: (d) A height of 71.5 inches corresponds to … 
Statistics
The heights of the students in a statistics class are approximately normal with mean 68 inches and a standard deviation of 2.75 inches. Suppose that the heights of the 15 male students in the statistics class are also approximately … 
Statistics
The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 adult males is selected. Find the probability that the average height will be more than 70 inches. a.0.668 … 
stat
Assume that the population of heights of female college students is approximately normally distributed with mean m of 67.26 inches and standard deviation s of 5.96 inches. A random sample of 78 heights is obtained. Show all work. (A) … 
statistics
Assume that the population of heights of female college students is approximately normally distributed with mean m of 66 inches and standard deviation s of 4.00 inches. Show all work. (A) Find the proportion of female college students … 
statistics
Suppose that the heights of female adults in the US are normally distributed with a mean (ยต) of 65.4 inches and a standard deviation (σ) of 2.8 inches. Let X denote the height of a randomly chosen adult female. Find the probability … 
Statistics
The distribution of heights of adult American men is approximately normal with a mean of 68 inches and a standard deviation of 2 inches. What percent of mean are at least 72 inches tall? 
math
The distribution of heights of adult American men is approximately normal with a mean of 68 inches and a standard deviation of 2 inches. What percent of mean are at least 72 inches tall? 
Statistics
the heights of young women are approximately Normal with 65 inches and standard deviation 2.5 inches. The heights of men in the same age group have mean 70 inches standard deviation 2 inches. What percentage of women are taller than … 
stats
if the distribution of heights for adult men is approximately normal with a mean of 69.5 inches and a standard deviation of 2.7ninches what is the probability that a randomly selected man is shorter than 65 inches?