A family math night at your school includes the following activity. A bag is filled with 10 small bears that are identical except that 3 are yellow and 7 blue. The directions for the game are as follows:

Win a prize if you guess the correct number of yellow bears in the bag! There are 10 bears in the bag. Some are yellow and the rest are blue. Here is what you do:

1. Reach into the bag, mix well, and pick out a bear.
2. Get a sticky note that is the same color as your bear and write your name and your guess on the note and add it to the other notes of the same color.
3. Put your bear back in the bag and mix well.

The sticky notes will be organized in columns of 10 so that they are easy to count.

A.         How will the students be able to use the results of this activity to estimate the number of yellow bears in the bag? (8 points)

B.         What do you expect to happen as more kids play this game? (4 points)

C.        What are at least 2 modifications you would make to this game if you were actually going to use this for your own math night? (8 points)

Thirty-one small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 40.1 cases per year.

(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

For the third quarter (Q3) of 2014, a group of 163 mutual funds had a mean return of 4.6% with a standard deviation of 5.1%. A histogram of fund returns shows a unimodal, symmetric shape. (Enter your answer to two decimal places.)

(a) What return is necessary for a fund to be classified among the top 25%?

%

(b) What return is necessary for a fund to be classified among the bottom 10%?

%

(c) What return is necessary for a fund to be classified among the top 1%?

%

(d) What is the IQR of these returns?

%

Suppose you want to estimate the average number of years employees have worked at your company so far. You take a random sample of 100 workers and you find the average number of years they have worked at your company so far is 10 years. (Assume the standard deviation for number of years worked is known to be 2 years.)

Let X be the number of years an employee has worked at this company. Assuming this company has been around for a long time, you might expect the distribution of X to be skewed to the right, and hence does NOT have a normal distribution. Explain why this might be the case.

Find a 95% confidence interval for the average number of years worked for employees over the whole company.

Explain why you could not do the previous problem (and use a formula involving a Z value) without use of the Central Limit Theorem. Remember, X does not have a normal distribution!

Why are the proper conditions met in order to use the CLT here? Explain.

A shipment of 9 microwave ovens contains 3 defective units. A restaurant buys four of these units. What is the probability of the restaurant buying at least three non-defective​ units?

Assume for a given year there is a population of 1,725,000 people, 345,000 of whom are 65 years younger. There are 22,425 live births, 13,800 deaths in all age groups from all causes, 10,350 deaths for those 65 and above, 4000 deaths from heart disease, 7000 deaths from cancer, 95 deaths among infants less than 28 days, 140 deaths among infants less than one year (including those < 28 days), and 6 deaths among pregnant mothers. Assume that there 40,000 new cases of influenza, 45,000 people have influenza at some point in time during the year. Calculate the following rates to one decimal place. (15 points)

a. crude mortality rate (per 100,000)
b. age-specific mortality rate among those 65 and above (per 100,000) c. proportionate mortality rate for cancer

Problem 16-05

To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3900, and the average first-year commission for each new account opened is $4900. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.

1. Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar.
   
   Profit = (New Accounts Opened × $  ) – $  
2. What type of random variable is the number of new accounts opened? (Hint: Review Appendix 16.1 for descriptions of various types of probability distributions.)
   
   The number of new accounts opened is a random variable with  trials and  probability of a success on a single trial.
3. Assume that the number of new accouts you get randomly is:

4. 
   Construct a spreadsheet simulation model to analyze the profitability of Gustin’s seminars. Round the answer for the expected profit to the nearest dollar. Round the answer for the probability of a loss to 2 decimal places.
   
   The expected profit from a seminar is $   and there is a  probability of a loss.
   
   Would you recommend that Gustin continue running the seminars?
   
   Gustin the seminars in their current format.
5. How large of an audience does Gustin need before a seminar’s expected profit is greater than zero? Use Trial-and-error method to answer the question. Round your answer to the nearest whole number.
   
   attendees

*tables and figures are listed by page number and are included in the table of contents TRUE OR FALSE
*WHICH OF THE FOLLOWING IS CORRECT IN TERMS OF APA NUMBER STYLE?
a) 1950's b) ten-thousand c) 10 and 20's d) both a and c
*when quoting, always provide the author's names, year, complete reference in the reference list, and___________
a) month of publication B) chapter number c)specific page citation d) all the above
*which of the following sentences is the correct format for subsequent references to the same study according to the 6th edition of the APA guide?
a) standard deviations typically exceed 1.56 ( see table 2 of Smith, 2003, for complete data).
b) survey results were mostly inconclusive with regard to job site application rates (see figure 12 of Johnson, [2005], for complete data).
c) both A and B are incorrect
d) both A and B are correct
*if a quote is equal or longer than ______ words, a block format should be used
a) 20 b) 25 c) 40 d) 15

If you have a chance please answer as many as possible, thank you and I really appreciate your help experts!

Question 6 2 pts

A scientist claims that the mean gestation period for a fox is 51.5 weeks. If a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted?

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Question 7 2 pts

A marketing organization claims that less than 15% of its employees are paid minimum wage. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted?

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Question 8 2 pts

A sprinkler manufacturer claims that the average activating temperatures is at least 132 degrees. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133 degrees. Assume the population standard deviation is 3.3 degrees. Find the standardized test statistic and the corresponding p-value.

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Question 9 2 pts

A consumer group claims that the mean acceleration time from 0 to 60 miles per hour for a sedan is 7.0 seconds. A random sample of 33 sedans has a mean acceleration time from 0 to 60 miles per hour of 7.6 seconds. Assume the population standard deviation is 2.3 seconds. Find the standardized test statistic and the corresponding p-value.

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Question 10 2 pts

A consumer research organization states that the mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.8 milligrams. You find a random sample of 48 12-ounce bottles of caffeinated soft drinks that has a mean caffeine content of 35.2 milligrams. Assume the population standard deviation is 12.5 milligrams. At α=0.05, do you support or reject the organization’s claim using the test statistic?

Researchers in mental health fields are often interested in evaluating the effectiveness of using food images to enhance positive mood. Adapting a typical design from such studies, suppose we have participants rate their mood change on a standard self-report affect scale after viewing images of "comfort" foods, fruits/vegetables (F/V), and random non-food images (used as a control group). The results are given in the table at right for this hypothetical study.

(a) Complete the F-table. (Round your answers to two decimal places.)

(b) Compute a Bonferroni procedure and interpret the results. (Assume experimentwise alpha equal to 0.05. Select all that apply.)

There were no significant differences between any of the groups.Participants rated a significantly larger mood change after viewing images of fruits/vegetables compared with the mood change after viewing control images.Participants rated a significantly larger mood change after viewing images of comfort foods compared with the mood change after viewing images of fruits/vegetables.Participants rated a significantly larger mood change after viewing images of comfort foods compared with the mood change after viewing control images.

Twenty five high school students complete a preparation program for taking the SAT test. Here are the SAT scores from the 25 students who completed the SAT prep program: 434 694 457 534 720 400 484 478 610 641 425 636 454 514 563 370 499 640 501 625 612 471 598 509 531 The mean of these scores is 536.00. We know that the population average for SAT scores is 500 with a standard deviation of 100. The question is, are these students’ SAT scores significantly greater than a population mean of 500 with a population standard deviation of 100 ? Note that the the maker of the SAT prep program claims that it will increase (and not decrease) your SAT score. So, you would be justified in conducting a one-directional test. (alpha = .05).

Choose between

A - The prep program didn't result in significant improvement in SAT scores

B- The prep program resulted in significant improvement in SAT scores

The Kroger Company is one of the largest grocery retailers in the United States, with over 2,000 grocery stores across the country. Kroger uses an online customer opinion questionnaire to obtain performance data about its products and services and learn about what motivates its customers.† In the survey, Kroger customers were asked if they would be willing to pay more for products that had each of the following four characteristics. The four questions were: Would you pay more for

    products that have a brand name?

    products that are environmentally friendly?

    products that are organic?

    products that have been recommended by others?

For each question, the customers had the option of responding Yes if they would pay more or No if they would not pay more.

(a)

Are the data collected by Kroger in this example categorical or quantitative?

categorical quantitative     Correct: Your answer is correct.

(b)

What measurement scale is used?

ratio scale interval scale     ordinal scale nominal scale