The Ghanian National Center for Health Statistics (GNCHS) provides statistical information that guides actions and policies to improve the health of the Ghanians in Ghana. Recent data from GNCHS give the average height of females in the Ghana
States to be 65.40 inches, with a standard deviation of 2.75 inches. A random sample of 50 females from the health profession yielded the following height data:
60.0 70.0 61.0 62.0 61.0 58.0 66.0 74.0 58.0 65.0
66.0 72.0 65.0 64.0 74.0 59.0 64.0 75.0 59.0 68.0
67.0 65.0 66.0 65.0 73.0 60.0 65.0 73.0 57.0 69.0
68.0 63.0 72.0 66.0 74.0 58.0 68.0 62.0 56.0 74.0
60.0 75.0 62.0 70.0 62.0 70.0 65.0 55.0 64.0
Are the assumptions of the confidence interval and hypothesis test methods of this chapter satisfied? Explain.
(b) Using the sample data and a 95% level of confidence, estimate the mean height of females in the health profession. Use the given population standard deviation of 2.75 inches.
(c) Test the claim that the mean height of females in the health profession is different from 63.7 inches, the mean height for all females in the United States. Use a 0.05 level of significance
(g) On the basis of the results obtained earlier, does it appear that the females in this study, on average, are the same height as all females in the in Ghana as reported by the GNCHS? Explain
(a, b, c, g)
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