Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion. A person drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of​ 1, 2,​ 3, 4,​ 5, and​ 6, respectively: 27​, 28​, 45​, 41​, 27​, 32. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair​ die?

At one hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were as follows. 27 6 9 18 29 40 31 46 16 12 11 27 33 30 32 15 24 35 12 40 Make a box-and-whisker plot of the data. Correct: Your answer is correct. Find the interquartile range?

29)

Random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below.

Model A / Model B / Model C / Model D
   26  /   27   /   20   /   28
   30  /   23   /   25   /   27
   25  /   26   /   25   /   21
   25  /   22   /   26   /   26

Test the claim that the four different models have the same population mean. Use a significance level of 0.05. Use the p-value method of hypothesis testing.

The ages of a random sample of people who attended a recent soccer match are as follows:

23 35 14 37 38 15 45

12 40 27 13 18 19 23

37 20 29 49 40 65 53

18 17 23 27 29 31 42

35 38 22 20 15 17 21

a. Find the mean age.

b. Find the standard deviation.

c. Find the coefficient of variation.

Write program that prompts the user to enter a person's date of birth in numeric form such as 8-27-1980. The program then outputs the date of birth in the form: August 27, 1980. Your program must contain at least two exception classes: invalidDay and invalidMonth. If the user enters an invalid value for day, then the program should throw and catch an invalidDay object. Similar conventions for the invalid values of month and year. (Note that your program must handle a leap year.)

You plan to retire in 27 years. You would like to maintain your current level of consumption which is $55,465 per year. You will need to have 25 years of consumption during your retirement. You can earn 4.89% per year (nominal terms) on your investments. In addition, you expect inflation to be 2.28% inflation per year, from now and through your retirement. How much do you have to invest each year, starting next year, for 17 years, in nominal terms to just cover your retirement needs?

Brille Corporation is issuing new common stock at a market price of ​$27. Dividends last year were 1.30 and are expected to grow at an annual rate of 11 percent forever. Flotation costs will be 8 percent of market price. What is​ Brille's cost of​ equity? ​Brille's cost of external common equity is? %