(9 Pts) The mean height, , for a probability distribution of heights is 65 inche
ID: 2922985 • Letter: #
Question
(9 Pts) The mean height, , for a probability distribution of heights is 65 inches and the standard deviation, a, is 3 inches 4, a) If a random sample of 16 people is obtained from the above population, can the sampling distribution of sample means be assumed to have a normal distribution? Why or why not. b) If a random sample of 40 people is obtained from the above population, can the sampling distribution of sample means be assumed to have a normal distribution? Why or why not c) If a normal probability distribution of heights is given, can the sampling distribution of sample means for a sample size of 16 be assumed to have a normal distribution? Why or why not.Explanation / Answer
a) No, ther sample size needs to be ideally 30 or above for a normal distribution
b) Yes, the sample is greater than 30 and the distribution will tend to be normal even if the population distribution is not.
c) Yes, The population distribution is normal and therefore the ssmpling distribution will also be normal.
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