21. In a survey of women in a certain country​ (ages 20−​29), the mean height was 65.8 inches with a standard deviation of 2.87 inches. Answer the following questions about the specified normal distribution.

​(a) The height that represents the 95th percentile is ___.

(b) What height represents the first​ quartile?

22. The weights of bags of baby carrots are normally​ distributed, with a mean of 34 ounces and a standard deviation of 0.31 ounce. Bags in the upper​ 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be​ repackaged?

A bag of baby carrots can weigh at most ___ ounces without needing to be repackaged.

23. A mechanic sells a brand of automobile tire that has a life expectancy that is normally​ distributed, with a mean life of 35,000 miles and a standard deviation of 2800 miles. He wants to give a guarantee for free replacement of tires that​ don't wear well. How should he word his guarantee if he is willing to replace approximately​ 10% of the​ tires?

Tires that wear out by __ miles will be replaced free of charge.

24. A vending machine dispenses coffee into a sixteen​-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.07 ounce. You can allow the cup to overfill 3​% of the time. What amount should you set as the mean amount of coffee to be​ dispensed?

___ ounces.

25. In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 74 and a standard deviation of 8. Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's. Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D.

The lowest score that would qualify a student for an A is ___.

Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its destination. To investigate, Mr. Bardi selected a random sample of 20 shipments made last month. Shipping distance is the independent variable and shipping time is the dependent variable. The results are as follows:

Draw a scatter diagram. Based on these data, does it appear that there is a relationship between how many miles a shipment has to go and the time it takes to arrive at its destination?

Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.)

State the decision rule for 0.10 significance level: H₀: ρ ≤ 0; H₁: ρ > 0.

Compute the value of the test statistic.

Determine the coefficient of determination.

Fill in the blank below. (Round your answer to 1 decimal places.)

___% of the variation in shipping time is explained in by shipping distance

Determine the standard error of estimate.

1. A box contains six 25-watt light bulbs, nine 60-watt light bulbs, and five 100-watt light bulbs. What is the probability a randomly selected a 60 watt light bulb? (PLease explain how did you get your answer)(2 pt) Note: You must provide your answer as a fraction NOT decimal)

2. Cell Phone Provider	Probability
   AT&T	0.271
   Sprint	0.236
   T–Mobile	0.111
   Verizon	0.263

   Does the above table represent the probability model? Explain your answer. (2 pt)

3. The data shows the distance that employees of a certain company travel to work. One of these employees is randomly selected. Determine the probability that the employee travels between 10 and 29 miles to work. (2 pts)

   Distance (miles)	Number of employees
   0 – 9	124
   10 – 19	309
   20 – 29	257
   30 – 39	78
   40 – 49	2

4. In Q3, Is the probability the employee travels between 40 and 49 miles to work considered to be unusual? Explain your answer. (2 pt)

5. The probability that a randomly selected murder resulted from a rifle or shotgun is

   P(rifle or shotgun) = 0.059. Interpret this probability. (2 pt)

   Choose one of the correct answers from below.

   A. If 1000 murders were randomly selected, we would expect about 59 of them to have resulted from a rifle or shotgun.
   B. If any person is randomly selected, there is a 59 % chance the person will be murdered with a rifle or shotgun.
   C. If any person is randomly selected, there is a 5.9% chance the person will be murdered with a rifle or shotgun.
   D. If 1000 murders were randomly selected, exactly 59 of them would have resulted from a rifle or shotgun.

Misc Information: Mr. Burns sold off all of his fixed assets from the nuclear power plant. Also, there was an adjustment to the allowance for uncollectible account during your brief respite. Mr. Smithers performed the necessary entries to get the books up to date; this included the reduction of the mortgage payable. However, you will calculate interest expense, bad debt expense, and depreciation expense. These amounts will not be given to you. Good luck and time manage appropriately. ***For any note/mortgage payable, you find interest expense the same way you find interest revenue. ***

Check Figures:

                        Unadjusted Net Loss: ($9,737)

                        Adjusted Net Loss: ($360,991)

Journal Entries:

1. January 2: After returning from exile, Mr. Burns invested $600,000 of personal funds directly in the business (retained earnings) to strengthen his grip on the cookie market. No common stock ownership was given.

2. January 3: In order to keep the IRS off his trail, Mr. Burns transferred money from his personal account into a Cayman Island secret account for $1,000,000.

3. January 3: In order to expand his cookie factory and be able to dump toxic waste without being impeded by the Feds, Mr. Burns bought land for cash for $500,000. The bald children in the park were drawing attention from the Environmental Protection Agency.

4. January 4: After threatening to block out the sun, Mr. Burns was able to collect $115,000 of the 2020 accounts receivable beginning balance.

5. January 5: In order to ease his beginning of the year cash flow crunch, Mr. Burns issued Common Stock (1,500,000 shares at $2.00 per share). The Par Value is $1.00 per share.

6. February 1: In order to keep up with being 104 year old hip evil billionaire, Mr. Burns decided to purchase a new truck. The truck cost $60,000. Mr. Burns put a down payment on the truck of $10,000 and took out a note for the rest (long term). The interest rate of the note is 10%. The truck will depreciated by miles. The expected life of the truck is 100,000 miles.

7. February 20: Mr. Burns sold his delicious cookies to Candy Store on account $300,000. Mr. Burns offered terms 2/20, n40. The cost of merchandise sold was $150,000.

8. February 28: Mr. Burns bought cookie dough (inventory) to keep the cookie assembly line going. Mr. Burns paid cash for the cookie dough $400,000

9. March 1^st. Mr. Burns reclassed the current portion of long term notes payable. Reclass only the portion on the balance sheet as of January 1st, 2020.

10. March 5: Mr. Burns paid for the following expenses that came in: Sales Salary Expense $70,000, Advertising Expense $50,000, and Delivery Expense $40,000. All of the expenses were paid in one transaction.

11. March 6: Mr. Burns collected $30,000 of the 1/1/2020 balance of the note receivable from Mayor Quimby. The interest rate was 15% and the Note was written on July 1^th, 2019

12. March 7: The Candy Store paid Mr. Burns what they owed him on account.

13. March 15: Mr. Burns paid income tax payable owed from last year.

5. When consumer demand for hotel rooms increases, the average selling prices for those rooms typically increase as well. In the foodservice business that has not historically been the case. Fluctuations in consumer demand (e.g., volume differences between high demand Saturday nights and lower­volume Sunday nights) in restaurants do not typically result in menu price changes. Given that both hotels and restaurants are part of the hospitality industry, how do you account for these fundamental differences in approach toward strategic pricing? As a customer, which approach do you believe sends you the better value message? Explain your position.

Tesco plc wants to expand but foresees little exponential growth in its current retail activities. The company has, therefore, decided to utilise their ability to raise funds and their cash generation ability to organically expand into the hotel industry. Tesco feels that the market is open to a new participant and that companies such as Intercontinental Hotels Group plc are not ready for a vibrant new competitor. Tesco could expand by undertaking ‘organic’ growth orcould undertake the indicated growth by acquisition. You are required to provide a critical analysis of the relative benefits of the two types of growth (i.e. ‘organic’ and acquisition) from Tesco’s point of view, with regard to the proposed expansion.

Edgewater Motels, Inc v Gatzke and Walgreen Company: Gatzke worked as a district manager for Walgreens. He was staying at the Edgewater Motel while he was working in Minnesota “on call 24 hours a day" for Walgreens. A fire occurred in his hotel room from a lit cigarette he dropped into the waste paper basket. The fire caused massive damage and Edgewater sued both Gatzke and Walgreens. Both were found liable for the damages.

Why do you think Walgreens would be responsible for the action of Gatzke. Was he still working when the fire took place? Can you make an argument that Walgreens is not liable?