What percent of undergraduate enrollment in coed colleges and universities in the United States is male? A random sample of 50 such institutions give the following data (Source: USA Today College Guide).

For this problem, use five classes.

(a) Find the class width.

(b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies.

(c) Draw a histogram.

(d) Draw a relative-frequency histogram.

(e) Categorize the basic distribution shape.

(f) Draw an ogive.

Hotelling’s location game. Recall the voting game discussed in class. There are two candidates, each of whom chooses a position from the set S = (1,2,...10). The voters are equally distributed across these ten positions. Voters vote for the candidate whose position is closest to theirs. If the two candidates are equidistant from a given position, the voters at that position split their votes equally. First, unlike in the game analyzed in class, assume that both candidates only care about winning or losing, not about the winning margin. Let the payoff for winning be 100 and the payoff for losing be 0. A tied election yields a payoff of 50.

(a) Find all strategies that strictly dominate strategy 10, and all strategies that weakly dominate 10. Explain your answer.

Next, switch back to the payoff functions we considered in class (candidates care about vote shares) but assume that there are three candidates, instead of two.

(b) Is strategy 10 dominated, strictly or weakly, by strategy 9? How about by strategy 8? Explain.

8. A professor tests whether the loudness of noise during an exam (low, medium, and high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test.

Part A) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)

Decide whether to retain or reject the null hypothesis.

Part B) Compute effect size using Cramer's V. (Round your answer to two decimal places.)

9. What is Cramer's V for each of the following values for the chi-square test for independence? (Round your answers to two decimal places.)

Part A) X² = 3.63, n = 50, df_smaller = 1

Part B) X² = 9.27, n = 120, df_smaller = 2

Part C) X² = 12.23, n = 160, df_smaller = 3

Please add the explanation.

3.A project costs $475 and has cash flows of $100 for the first three years and $75 in each of the project's last five years. If the discount rate is 10%, what is the discounted payback period?

A) The project never pays back on a discounted basis

B) 5 years

C) 6 years

D) 7 years

E) 8 years

1. This study (work sampling*) is focusing on machine operations. Using the following data,

1. Categorize the events into the interesting activities such as machine idle (I), machine servicing (S).

   Observed Data	Categorize         √ S (Service) I (Idle)	Number of Observation
   Machine Running	S or I	222
   Remove Scrap	S or I	48
   Change tool	S or I	17
   Change material	S or I	60
   Adjust die	S or I	23
   Wait for maintenance service	S or I	53
   Wait for next material	S or I	25

2. What % (p) of the time Machine is down (not idle but “serviced by the operator”) roughly?
3. An analyst determined that the machining time (Tm) per piece was 40min. What is the actual production for the one machine supervised by one operator for an 8-hour shift given the above conditions?
4. What is the unit cost ? The operator is paid $10.00/hr and each machine costs $20.00/hr for power and supplies.
5. Since there is so much lost production due to idle time, management is considering assigning another machine to the first operator. There are three approaches or choices: i) Assign Machines #1 to the first operator and Machines #2 to the second operator, or ii) have both operators help each other and service all two machines as needed. iii) Assign Machines #1 and #2 to the first operator and don’t assign a second operator. Which choice is best, i.e. lowest unit cost?

Suppose 44% of politicians are lawyers.

If a random sample of size 411 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 7%? Round your answer to four decimal places.

Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The x column indicates the number of client contacts last month and the y column shows the value of sales ($ thousands) last month for each client sampled.

1. Determine the regression equation. (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round final answers to 2 decimal places.)

b. Determine the estimated sales if 40 contacts are made. (Do not round intermediate calculations. Round final answers to 2 decimal places.)

"Three Sample ANOVA QB"

Researcher wants to compare test performance for tests printed on three different colors of paper; Red, Green, and the Standard White. The researcher selects a sample of 11 individuals and has each individual take one test on Red paper, another test on Green paper, and a third test on the Standard White paer. The data are listed below. The researcher wants to minimize the probability of making a Type I error.

   Red Green White   
90 88 86
89 87 85
88 86 84
87 85 83
86 84 82
85 83 81
84 82 80
83 81 76
82 80 78
81 79 77
    80 78 79   

Means 85 83 81 Grand Mean = 83

2)What is the correct observed test statistic value for this statistical test of the means (Round to two decimal places)?

3) What is the correct critical value for this statistical test of the means?

6) conduct post-hoc analysis using Tukey’s HSD. What is the critical value?

7)what is the value of Tukey’s HSD for comparing Red paper to Green paper (Round to two decimal places)?

8)what is the value of Tukey’s HSD for comparing Red paper to White paper (Round to two decimal places)?

9)what is the value of Tukey’s HSD for comparing Green paepr to White paper (Round to two decimal places)?

Exercise 8-16

You are the vice president of finance of Novak Corporation, a retail company that prepared two different schedules of gross margin for the first quarter ended March 31, 2020. These schedules appear below.

The computation of cost of goods sold in each schedule is based on the following data.

Debra King, the president of the corporation, cannot understand how two different gross margins can be computed from the same set of data. As the vice president of finance, you have explained to Ms. King that the two schedules are based on different assumptions concerning the flow of inventory costs, i.e., FIFO and LIFO. Schedules 1 and 2 were not necessarily prepared in this sequence of cost flow assumptions.

Prepare two separate schedules computing cost of goods sold and supporting schedules showing the composition of the ending inventory under both cost flow assumptions.

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Schedules Computing Ending Inventory

A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other. He puts the cards in the bag, pulls out one, and puts it on the table. Both of you can see that the card is blue on top, but haven't seen the other side. The street performer bets you $50 that the other side of the card is also blue. Should you take the bet and WHY? Now that the previous two questions have gotten you thinking about probability, how does probability apply to your profession?