Must show work on all problems
31. A small town has a population of 20,000 people. Among these 2,000 regularly visit a popular local bar. A sample of 225 people who visit the bar is surveyed for their annual expenditures in the bar. It is found that on average each person who regularly visits the bar spends about $1500 per year in the bar with a standard deviation of $225. Construct a 95 percent confidence interval around the mean annual expenditure in the bar.
32. Test H0: mu=42 versus HA: mu is not equal to 42 when Xbar = 42.8, s=1.2 and n=16 at ?=.01 and .05. Assume that the population from which the sample is selected is normally distributed. Indicate which test you are performing; show the test statistic and the critical values and mention whether one-tailed or two-tailed.(Ch 9)
33. An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce. Between what two values (in ounces) symmetrically distributed around the population mean will 80% of the apples fall? (Ch8) (Points : 16)
34.
At a recent meeting of educational researchers comparison were made between the type of college freshmen attend and the numbers who drop out. A random sample of freshmen show the following results: (keep two decimals in calculating expected frequencies)
4Yr public 4Yr private 2Yr public 2Yr private
drop out 10 9 15 9
don’t drop 26 28 18 27
Use a significance level of .05 and determine if the type of school and the drop out rate are independent. (Ch12)
35. A recent study conducted by the state government attempts to determine whether the voting public supports further increase in cigarette taxes. The opinion poll recently sampled 1500 voting age citizens. 1020 of the sampled citizens were in favor of an increase in cigarette taxes. The state government would like to…