The below data shows the amount of time (in seconds) that animated Disney movies showed the use of tobacco and alcohol. Test the claim that the mean difference in time of tobacco use vs. alcohol use is equal to zero at the 0.1 significance level. You may want to use a spreadsheet to help you solve this problem

  Tobacco Alcohol

Claim: Select an answer p > 0 u ≠ 0 u ≤ 0 p < 0 u > 0 p ≥ 0 p ≤ 0 p ≠ 0 u < 0 p = 0 u ≥ 0 u = 0

which corresponds to Select an answer H1: u > 0 H0: u ≠ 0 H1: u < 0 H0: u ≤ 0 H1: u ≠ 0 H0: u = 0 H0: p ≥ 0

Opposite: Select an answer u < 0 p > 0 p ≤ 0 u = 0 p ≠ 0 u ≠ 0 u ≥ 0 p ≥ 0 u > 0 p = 0 p < 0 u ≤ 0

which corresponds to Select an answer H1: u < 0 H0: u ≠ 0 H1: u ≠ 0 H0: u ≤ 0 H0: p ≥ 0 H0: u = 0 H1: u > 0

The test is: Select an answer / left-tailed / two-tailed / right-tailed

The test statistic is: Select an answer / -6.969 / -7.119 / -6.289 / -6.729 / -6.609  (to 3 decimals)

The Critical Value is: Select an answer / ± 1.711 / ± 1.47 / ± 1.316 / ± 1.36 / ± 1.867  (to 3 decimals)

Based on this we: Select an answer / Fail to reject the null hypothesis/ Reject the null hypothesis

Conclusion There Select an answer ( does / not does ) appear to be enough evidence to support the claim that the mean difference in time of tobacco use vs. alcohol use is equal to zero.

6. A and B are playing a short game of ping pong where A serves 3 times and B also serves 3 times. If after these six points one of them is ahead the game ends, otherwise they go into a second phase. Suppose that A wins 70% of the points when they serve and 40% of the points when B serves.

Let’s look at the first phase.

a) (3 pts) Find the probability that A or B wins 0, 1, 2, or 3 points when they serve (give the answers separately, so P(A wins 0 points when A serves)= , ...).

b) (4 pts) Find the probability that A scores a total of 4 or more points (so wins in the first phase).

c) (2 pts) Find the probability that A scores 3 points in total (so there is a tie in the first phase).

Now let’s look at cases where the game moves on to the second phase. In this phase there are multiple rounds; in each round each player serves once. They win if they win both points; otherwise it goes to another round. Play continues until someone wins.

d) (4 pts) Find the probability that A wins if it goes to the second phase.

e) (2 pts) Find the probability that A wins (in either the first or second phase).

f) Extra credit (3 pts): find the expected number of points played.

The retail stores in the North Towne Square shopping center are the following:

00 Elder-Beerman 08 Kay-Bee Toy & Hobby 16 Pearle Vision Express
01 Sears 09 Lion Store 17 Dollar Tree
02 Deb Shop 10 Bootleggers 18 County Seat
03 Frederick's of Hollywood 11 Formal Man 19 Kid Mart
04 Petries 12 Leather Ltd. 20 Lerner
05 Easy Dreams 13 B Dalton Bookseller 21 Coach House Gifts
06 Summit Stationers 14 Pat's Hallmark 22 Spencer Gifts
07 E. Brown B. Opticians 15 Things Remembered 23 CPI Photo Finish
24 Regis Hairstylists

to. If you select the random numbers 11, 65, 86, 62, 06, 10, 12, 77 and 04, what stores do you need to contact to conduct a survey? Forman Man, Summit Stationers, Bootleggers, Leather Ltd, Petries.
b. You must apply the systematic sampling procedure. A sample of size five (n = 5) is necessary and the first randomly selected sample element is Frederick's of Hollywood. Which stores make up your sample?

Did you come across any notable data analysis tools during your research for the activity submission? Share with your fellow classmates any interesting or useful hardware or software tools that you have come across. Discuss your thoughts on the applicability of this tool in your context or field of interest, as well as any ways in which you think this tool could be beneficial to a specific industry or job role.

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