statistics

4. Are women getting taller? In one state, the average height of a woman aged 20 years or older is 63.7 inches in 1990. A random sample of 100 women is taken to test if women’s mean height today is different from 1990. The mean height of the 100 surveyed women is 63.9 inches. Assume that the sample’s standard deviation is 3.5 inches. Test the claim at the 0.05 level of significance.

a) State the null and alternative hypothesis
b) Estimate the standard error of the sampling distribution
c) Find the value of the test statistic and its corresponding p value

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1. a) Ho: mean heights =
Ha: mean heights ≠

b) SEm = SD/√n

c) Z = (score-mean)/SEm

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.

d) Once you have done the calculations, you can come to your own conclusion.

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