8. SAC Community Clinic is interested in knowing how far their patients commute (from their homes). To date, 20,000 unique patients have received care at the facility; the clinic operates Monday through Friday and sees about 20 patients per day. You have been commissioned to conduct a survey of their patients to gather home addresses, mode of transportation, and round trip commute time. Your goal is to gather data on 10% of the patients who enter the clinic for a week. You will use a simple random sampling. a. Define the population b. Define the sample frame c. Explain how you would select the sample d. Explain how you would gather the data.

A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass, you must answer at least 8 out of 12 questions correctly. What is the chance of this, if ;

a. You go into the exam without knowing a thing, and have to resort to Pure guessing?

b. You have studied enough so that on each question, 3 choices can be eliminated. But then you have to make a pure guess between the remaining 2 choices.

c. You have studied enough so that you know for sure the correct answer on 2 questions. For the remaining 10 questions you have to resort to pure guessing.

In 1997 a woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard (Genessey v. Digital Equipment Corporation). The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below.

What is the maximum possible amount that could be awarded under the "2-standard deviations rule"? (Round all intermediate calculations and the answer to three decimal places.)

Three decision makers have assessed utilities for the following decision problem (payoff in dollars): State of Nature Decision Alternative S1 S2 S3 d1 10 60 -20 d2 90 100 -80 The indifference probabilities are as follows: Indifference Probability (p) Payoff Decision maker A Decision maker B Decision maker C 100 1.00 1.00 1.00 90 0.95 0.80 0.85 60 0.85 0.70 0.75 10 0.75 0.55 0.60 -20 0.60 0.25 0.50 -80 0.00 0.00 0.00 Find a recommended decision for each of the three decision makers, if P(s1) = 0.30, P(s2) = 0.55, and P(s3) = 0.15. (Note: For the same decision problem, different utilities can lead to different decisions.) If required, round your answers to two decimal places. Decision maker A EU(d1) = _______ EU(d2) = _______ Recommended decision: _______ Decision maker B EU(d1) = _______ EU(d2) = _______ Recommended decision: _______ Decision maker C EU(d1) = _______ EU(d2) = _______ Recommended decision: _______

2. Dee Pressants owns Dee’s Pharmacy located in a small medical office building. Dee estimates that 20% of her prescription business comes from referrals from Dr. Mel Practice. For the next 25 prescription customers, what is the probability that a. 6 or less were referred by Mel? b. Between 3 and 6 were referred by Mel? c. At least 4 were referred by Mel? d. Exactly 5 were referred by Mel? e. Dee makes $10 profit per prescription but has to pay Mel a $3 kickback on any referrals. What is the expected profit from the 25 customers?

I have the answers for these questions, according to my study guide. I don't understand how the answers were obtained, though, so please show work!

A) You are planning to take two exams. According to the records, the failure rates for the two exams are 15% and 25%, respectively. Additionally, 80% of the student who passed the exam 1 passed exam 2. (The 80% is based on the given condition.)

What will be the probability that you fail the 1st exam, if you did not pass the 2nd exam?

0.32

B) You are planning to take two exams. According to the records, the failure rates for the two exams are 15% and 25%, respectively. Additionally, 80% of the student who passed the exam 1 passed exam 2. (The 80% is based on the given condition.)

What is the probability that you will fail at most one exam?

0.92

C) You are planning to take two exams. According to the records, the failure rates for the two exams are 15% and 25%, respectively. Additionally, 80% of the student who passed the exam 1 passed exam 2. (The 80% is based on the given condition.)

Given that you have passed at least one of the exams, what is the probability that you have passed only one exam?

0.2609

1. Igor Beaver is a salesman for Planet of the Grapes, a medium sized winery near Solvang. Igor is going on a sales trip visiting 10 restaurants throughout Southern California. Historically, Igor convinces 30% of the restaurants he visits to stock and sell his wine. a. What is the expected number of restaurants that Igor will close a sale on this trip? b. Find the variance. What is the probability that on this sales trip Igor make sales at c. 4 restaurants or less? d. Between 2 and 4 restaurants? e. Exactly 4 restaurants? f. At least 5 restaurants? g. Igor gives each new client a gift. How many gifts should he take on the trip to be at least 99% sure that he has enough? h. Find and plot the probability distribution and cumulative distribution using Excel.

A business owner believed that a higher percentage of females than males bought items from her stores. To test her belief, she conducted a study. What might her research hypothesis be?

A. p = .5

B. p > .5

C. p > .5 (greater than or equal to symbol)

D. not enough information

Given:

What are the confidence limits (alpha = 0.05) for the true mean value of Y when X = 3?

1) Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 4, given that the sum is 9.

2)The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 51. (Order is important.) You are a Winner if your sequence agrees with that in the drawing, and you are a Booby Prize Winner if your selection of numbers is correct, but in the wrong order. What is the probability of being a Booby Prize Winner?

Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 65 weekly reports showed a sample mean of 18.5 customer contacts per week. The sample standard deviation was 5.6. Provide 90% and 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel.

90% Confidence interval, to 2 decimals:

( , )

95% Confidence interval, to 2 decimals:

( , )

Given the following probability distributions for variables X and Y:

P(x, y)X                  Y

0.4       100            200

0.6       200            100

a. E(X) and E(Y).

b. σX and σY.

c. σXY. d. E(X + Y).

e. Suppose that X represents the number of patients successfully treated for Malaria and Y represents the number of patients successfully treated for Tuberculosis. And medication A (first row in the table) has a 40% of effectiveness and medication B (second row in the table) has a 60% of effectiveness. Interpret and make statements based on the calculations you did.

A group of 5 friends are playing poker one night, and one of the friends decides to try out a new game. They are using a standard 52-card deck. The dealer is going to deal the cards face up. There will be a round of betting after everyone gets one card. Another round of betting after each player gets a second card, etc. Once a total of 7 cards have been dealt to each player, the player with the best hand will win. However, if any player is dealt one of the designated cards, the dealer collects all cards, shuffles, and starts over.

The designated cards are: 9 of Spades, 10 of Hearts, 2 of Diamonds, 7 of Clubs. The players wish to determine the likelihood of actually getting to play a hand without mucking the cards and starting over.

In how many ways can you deal the cards WITHOUT getting one of the designated cards?  (Hint: Consider how may cards are in the deck that are NOT one of the designated cards and consider how many cards need to be dealt in order for each player to have 7 cards.)

In how many ways can you deal each player 7 cards, regardless of whether the designated cards come out?

What is the probability of a successful hand that will go all the way till everyone gets 7 cards?     (Round your answer to 4 decimal places.)

Recall, while using your calculator, that E10 means to move the decimal place 10 places to the right.

An analyst at a local automotive garage wanted to see if there were relationships between repair time in hours (y) and months since last service(x1), type of repair(x2), whether it was a truck or car(x3), or the mileage of the vehicle(x4). Use a level of significance of 0.05.

1. What is the dependent variable?

2. What are the independent variables?

3. Run the regression analysis with the four independent variables. Write out the prediction equation.

4. From a global perspective is the model worth keeping? Why?

5. Evaluate the individual independent variables, circle the variables would you consider removing? Explain why?          X1                         X2                           X3                            X4

6. Rerun the regression analysis after removing the unnecessary independent variables. Write the regression equation:

7. What repair time will it take for a car with 90000 miles, not serviced for six months, and requires for electrical repairs?

A small business uses a website to sell clothing and accessories. the owners use data analytics and have determined , based on the past 6 months of web visit data, that on any given day the website receives an average of, μ=300 visits (hits) per day.

(a) Using Chebysheff's theorem find the Chebysheff Confidence interval,Iκ, which indicates the number of consumers that will visit the website at least 75% of the time (days).

(b) If the average purchase per customer is $50. Based on the results in part a , what daily revenue can the owners expect at least 75% of the days?

A large data sample from the past 8 club tournaments was analyzed by the club pro instructing stuff who determined the following statistics (in strokes)for the golf scores recorded in the tournaments.

Max Score=140 Min Score=70 Average Score=90 Standard Deviation=8

(a) Find the Max/Min standardized score for a golfer whose score=105

(b)Calculate the normalized score,N, for a golfer whose score=114