Question 1: A survey found that the average hotel room rate in New Orleans is $89 and the average room rate in Phoenix is $77. Assume that the data were obtained from two samples of 95 each and that the standard deviations were $14 and $9 respectively. At "alpha" = 0.05, can it be concluded that there is no significant difference in the rates?
Question 2: A study was conducted to determine if the percent of women who receive financial aid was different than the percentage for men. At "alpha" = 0.10, is there significant evidence to reject the null hypothesis?
Women Men
Sample size 270 325
Number receiving aid 190 210
Question 3: A researcher knows from past studies that the standard deviation of times it takes to inspect a car is 17.3 minutes. A sample of 27 cars is selected and inspected. The standard deviation was 7.5 minutes. At "alpha" = 0.01, can it be concluded that the standard deviation is not 17.3 minutes?
Question 4: A researcher reports that the average salary of assistant professors is more than $67,000. A sample of 18 such professors has a mean salary of $71,000. At "alpha" = 0.05, test the claim that assistant professors earn more than $67,000 per year. The standard deviation of the population is $5500.