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Someone claims that the mean age of residents of a certain neighborhood is 50, but you suspect that the mean age is actually higher than that. A sample of 36 residents reveals a mean age of 53, with a sample standard deviation of 15.
a. State the null and alternative hypotheses.
b. Compute the value of the test statistic.
c. Taking α to be 0.05, what is/are the critical values associated with testing your hypothesis?
d. What conclusion do you come to?
Assuming this time that your data came from a sample of only 16 residents.
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Assuming the nurses surveyed were a simple random sample from the population of all nurses in the United States, find the appropriate null hypothesis for these data
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Compute the 95% confidence interval around the mean of each of the three groups and plot the confidence interval in the space provided above.
When the non-parametric statistics utilized? Write down an example.
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