Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

(b) Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.)

Conclusion

Reject the null hypothesis, there is sufficient evidence that ρ > 0.Reject the null hypothesis, there is insufficient evidence that ρ > 0.    Fail to reject the null hypothesis, there is insufficient evidence that ρ > 0.Fail to reject the null hypothesis, there is sufficient evidence that ρ > 0.

(c) Find S_e, a, b, and x. (Round your answers to four decimal places.)

(d) Find the predicted percentage ŷ of successful field goals for a player with x = 80% successful free throws. (Round your answer to two decimal places.)
%

(e) Find a 90% confidence interval for y when x = 80. (Round your answers to one decimal place.)

(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)

Conclusion

Reject the null hypothesis, there is sufficient evidence that β > 0.Reject the null hypothesis, there is insufficient evidence that β > 0.    Fail to reject the null hypothesis, there is insufficient evidence that β > 0.Fail to reject the null hypothesis, there is sufficient evidence that β > 0.

QUESTION 1

What is the Marginal Revenue at a quantity of 5?

QUESTION 2

What is the Marginal Cost at a quantity of 7?  

QUESTION 3

Using the MR-MC rule, what is the profit maximizing quantity this firm should produce?

QUESTION 4

How much profit do they make at this quantity?

A retail chain is considering installing devices that resemble cameras to deter shoplifting. The devices only look like​ cameras, saving the expense of wiring and recording video. To test the benefit of this decoy​ system, it picked 40​ stores, with half to get the decoy and the other half to serve as comparison group​ (control group). Stores were matched based on typical levels of​ sales, local market​ size, and demographics. The comparison lasted for 3 months during the summer. At the end of the​ period, the retailer used its inventory system to compute the amounts lost to theft in the stores.

​(b) Compute separate​ 95% confidence intervals for the amount lost to theft with and without the decoy cameras. Is there evidence of a statistically significant​ difference?

The​ 95% confidence interval for the expected number of thefts with the decoy cameras is____ to _____.

The​ 95% confidence interval for the expected number of thefts without the decoy cameras is____to ____.

​(Round to two decimal places as​ needed.)

​(c). The​ 95% t interval for the mean differences in number of thefts is about ____to ____.

Lost to Theft (decoy)   Lost to Theft (control)
49,310   84,411
70,076   66,951
43,239   35,741
34,315   58,600
33,189   31,978
29,852   20,725
87,706   97,843
45,783   20,652
27,380   55,888
33,570   42,624
87,648   84,060
41,451   22,644
55,259   103,200
55,523   77,005
46,891   75,263
67,491   87,289
51,398   89,549
73,057   92,136
34,700   37,265
40,101   60,556

2. A 2kg puck is located at position (5???? 2???)m with velocity (?7???? ???)m/s at time t=0s. I apply a
constant force of magnitude 10N in the direction (?4???+ 2???) for 10 seconds. At time t=10s, the
puck is at position (????+ 10???)m with a velocity of 5m/s in the direction (???+ ???).
a. How much work did I do on the puck?
b. How much work is done on the puck total?
c. What is the average power input to the puck from all sources?

Directions

Follow the Written Assignment Guidelines in this and all other assignments in this course. Below are the directions specific to this assignment.

1. Jane Elliott created prejudice among the students in her elementary school classroom in one week. Watch the footage of her classic 1968 demonstration: A Class Divided (Links to an external site.)Links to an external site. The study starts at about 3:20 minutes into the episode and runs until about 17:50 if you want to be selective in your viewing and not watch the entire 55 minute episode.
2. Write a brief essay in which you explain what what happened in what has come to be known as the Blue-eyed, Brown-eyed demonstration using the theories and terminology you have learned. Make at least five connections with the social psychological research on stereotypes, prejudice, and discrimination. Please bold or underline the concepts so you can be sure you cover the required amount. These concepts are often bolded or italicized terms in the chapter. Be specific. For each concept, you will need to define the social psychological concept in your own words and explain how it is seen in the brown-eyed, blue-eyed demonstration. In addition, you may include any other thoughts you have on her study.

An investor buys a butterfly spread on COPCO stock by buying one put option with an exercise price of $50 for $1, buying one put option with an exercise price of $60 for $7 and selling two put options with an exercise price of $55 for $3 each. (above relates to the 3 questions below) (Please show workings)

1. If COPCO’s expiration date stock price is $48, the investor’s profit is: (a) $5 (b) -$2 (c) $1 (d) -$7.

2. If COPCO’s expiration date stock price is $54, the investor’s profit is: (a) $6 (b) -$10 (c) -$6 (d) $2.

3. If COPCO’s expiration date stock price is $62, the investor’s profit is: (a) -$2 (b) $5 (c) -$9 (d) $2

Kyle Forman worked 48 hours during the week for Erickson Company at two different jobs. His pay rate was $14.90 for the first 40 hours, and his pay rate was $11.00 for the other 8 hours. Round your overtime rate and other interim computations to two decimal places and use the rounded amount in subsequent computations.

Round the final answers to the nearest cent. Determine his gross pay for that week if the company uses the one-half average rate method.

a. Gross pay

b. If prior agreement existed that overtime would be paid at the rate for the job performed after the 40^th hour, the gross pay would be

Finally, you wish to study whether the mean sales of various models of Nikon cameras that are sold by various stores differ from each other. Random samples of sales of the models of Nikon camera are selected. The data concerning the sales of these models are shown in appendix four below. At the 1% level of significance, are there any differences in the yearly mean sales of the models of Nikon camera in these populations of stores? If you do observe that there are differences in the mean sales of the camera models, at each of the levels of significance, perform the necessary additional test, using only PH stat in excel, to ascertain which mean sales differ from which other mean sales. Also, perform the appropriate test that illustrates whether, at each level of significance, the desired property of homogeneity of variances exists in this model.

Appendix Four: (Sales of Various Camera Models)

                                                Camera Model

Store D5 D850 D7500 D7200

         1 122 154 111 87

2 165 160 142 54

3 180 165 144 70

4 187 151 150 67

5 190 150 176 50

6 132 162 110 54

7 149 159 109 90

8 130 167 153 77

9 155 160 161 40

          10 170 198 143 58

Hint: Q.01,4,36 = 4.74

BIOINFORMATICS (Python)

In the following you are required to present on paper your solution to alignment problems. Please use the Needleman-Wunsch algorithm to find the best global pairwise alignment and use the Smith-Waterman algorithm to find the best local pairwise alignment. For each (global or local) alignment you must: - Construct the dynamic programming matrix F(i,j) keeping track of the pointers Ptr(j,i). - Determine the score of the best pairwise alignment. - Present the best alignment. If there are more than one, present all the best.

PROBLEM 1

Consider the following two nucleotide sequences

Sequence 1: A A C G T T A C

Sequence 2: C G A T A A C

and the following scoring model:

Match = +1

Mismatch = -1

Gap = -1

PROBLEM 2

Consider the following two nucleotide sequences

Sequence 1: A C G C G T

Sequence 2: C G T A A

and the following scoring model:

Match = +5

Mismatch = -3

Gap = -4

Write a 175- to 260-word response to both question 1 and 2

The West End Boutiques company was founded by Libbie Williams in 1990 with a single store in College Station, Texas, and the company now has 21 shops located in the triangle of Dallas, San Antonio, and Austin, Texas. Libbie was an accounting major in college, passed the entire CPA in her first attempt with high scores, and worked for one of the large CPA firms for 11 years prior to opening her first store. Based on her work experience, she fully understands the value of strong internal controls. Further, she recently selected a state-of-the art accounting system that connects all of her stores' financial transactions and reports.

Libbie employs two internal auditors who monitor internal controls and also search for ways to improve operational effectiveness. As part of the monitoring process, the internal auditors take turns conducting periodic reviews of the accounting records. For instance, the company takes a physical inventory at all stores once each year and an internal auditor oversees the process. Chris Domain, the most senior internal auditor, just completed a review of the accounting records and discovered several items of concern. These were:

• Physical inventory counts varied from inventory book amounts by more than 6% at two of the stores. In both cases, physical inventory was lower.
• Two of the stores seem to have an unusually high amount of sales returns for cash.
• In 9 of the stores, gross profit has dropped significantly from the same time last year.
• At 4 of the stores, bank deposit slips did not match cash receipts.
• One of the stores had an unusual number of bounced checks. It appeared that the same employee was responsible for approving each of the bounced checks.
• In 7 of the stores, the amount of petty cash on hand did not correspond to the amount in the petty cash account.

Requirements

1. For each of these concerns, identify a risk that may have created the problem.
2. Recommend an internal control procedure to prevent the problem in the future.