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# How tall are college hockey players? the average height has been 68.3

Problem   21)   A biologist has found the average weight   of 12 randomly selected mud turtles to be 8.7 lb with standard deviation 3.6   lb. Find a 90% confidence interval for the population mean weight of all such   turtles.

Problem 22)   How tall are college hockey players? The   average height has been 68.3 inches. A random sample of 14 hockey players   gave a mean height of 69.1 inches. We may assume that x has a normal   distribution with = 0.9 inch. Does this indicate that the population mean   height is different from 68.3 inches? Use 5% level of significance.      a) State the null and the alternate   hypothesis.         b) Identify the   sampling distribution to be used: the standard normal distribution or the   Student’s t distribution. Find the critical value(s).         c) Compute the z or   t value of the sample test statistic.         d) Find the P value   or an interval containing the P value for the sample test statistic.         e) Based   on your answers to a through d, decide whether or not to reject the null   hypothesis at the given significance level. Explain your conclusion in the   context of the problem

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Problem 23)   Recently the national average yield on   municipal bonds has been = 4.19%. A random sample of 16 Arizona municipal   bonds gave an average yield of 5.11% with a sample standard deviation s =   1.15%. Does this indicate that the population mean yield for all Arizona   municipal bonds is greater than the national average? Use = 0.05. Assume x is   normally distributed.         a) State the null   and the alternate hypothesis.         b) Identify the   sampling distribution to be used: the standard normal distribution or the   Student’s t distribution. Find the critical value(s).         c) Compute the z or   t value of the sample test statistic         d) Find the P value   or an interval containing the P value for the sample test statistic.         e) Based   on your answers to a through d, decide whether or not to reject the null   hypothesis at the given significance level. Explain your conclusion in the   context of the problem.

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