Question 5
Researchers at a clinic (who collected the data in the file nhanes1.sav) have records to indicate that the mean age of women who were involved in the NHANES program follows an approximately normal distribution with mean of 27 years and a standard deviation of 6 years. You do NOT need to use the data set for this question.
(a) Use this information to estimate the percentage of women who are 32 years or older.
(b) One group of 30 women have a sample mean age of 32. One researcher [researcher 1] at the clinic claims that this is not an unusual occurrence, while a second researcher [researcher 2] claims that it is an unusual occurrence. Using this information calculate the following to show which researcher is correct:
i. Describe the shape, centre and spread of the distribution of mean ages for the sample of 30 mothers.
ii. Assuming that this group of 30 mothers represent a random sample
of all mothers entering hospital to give birth, calculate the probability that the
mean age is 32 years or older. In doing so, state which researcher is correct?
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