3) In a New York modeling agency, a researcher wishes to see if the average height of female models is really less than 67 inches, as the chief claims. A random sample of 20 models has an average height of 65.8 inches. The standard deviation of the sample is 1.7 inches. At α = 0.05, is the average height of the models really less than 67 inches? Assume that the population is normally distributed. Required steps: 1) label all given information 2) state the null and alternative hypothesis and identify the claim 3) verify that the conditions are met to perform the test 4) sketch the normal distribution (curve) and find the critical regions 5) compute the test statistic 6) make a decision to reject or not reject the null hypothesis 7) summarize the results in a statement
3) In a New York modeling agency, a researcher wishes to see if the average height of female models is really less than 67 inches, as the chief claims. A random sample of 20 models has an average height of 65.8 inches. The standard deviation of the sample is 1.7 inches. At α = 0.05, is the average height of the models really less than 67 inches? Assume that the population is
Required steps:
1) label all given information
2) state the null and alternative hypothesis and identify the claim
3) verify that the conditions are met to perform the test
4) sketch the normal distribution (curve) and find the critical regions
5) compute the test statistic
6) make a decision to reject or not reject the null hypothesis
7) summarize the results in a statement
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