Question 11

(CO 4) Seventy-nine percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired?

Question 12

(CO 4) Out of each 100 products, 96 are ready for purchase by customers. If you selected 21 products, what would be the expected (mean) number that would be ready for purchase by customers?

A study commissioned by the power company shows that of 9,848 persons residing within 500 yards of high voltage lines, 600 have developed one of the cancers in question. Of 13,112 living more than 500 yards from such lines, 550 contracted one of the cancers. a. Calculate the point estimate of odds ratio b. Calculated 95% confidence interval of the odds ratio. Does the odds ratio significantly different from 1?

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 4 inches. A random sample of 28 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

1. One method for obtaining random numbers is by Middle Square method, you are asked to create an algorithm to get a random number with an 6 digit integer number. And give an example.

-Identify why you choose to perform the statistical test (Sign test, Wilcoxon test, Kruskal-Wallis test).

-Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.

-Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

-Find the critical value(s) and identify the rejection region(s).

-Find the appropriate standardized test statistic. If convenient, use technology.

-Decide whether to reject or fail to reject the null hypothesis.

-Interpret the decision in the context of the original claim.

A weight-lifting coach claims that weight-lifters can increase their strength by taking vitamin E. To test the theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. Thirty days later, after regular training supplemented by vitamin E, they are tested again. The results are listed below. Use the Wilcoxon signed-rank test to test the claim that the vitamin E supplement is effective in increasing athletes' strength. Use α = 0.05.

Please answer all parts, it is not that lengthy. If you can't answer last parts, don't attempt then . Leave for someone else

A manufacturing process produces defective items 15% of the time. A random sample of 80 items is taken from the 3000 produced on a particular day, and each sampled item is tested to see if it is defective or not.
In the context of this problem, identify each of the following:
a. Population:
b. Parameter of interest:
c. Sampling frame:
d. Sample:
e. Sampling method:
f. Is there any potential bias? Explain your answer.

You are an analyst for the Coral Cola Company and are interested in the association between age and rating of a new type of soda (Irish-Cream Cream-Soda). You suspect that younger individuals will prefer the soda over older individuals which could be useful for developing advertisement programs that can appeal to the population that likes Irish-Cream Cream-Soda the most (e.g., younger individuals). You conduct a study in which you allow participants (n = 15) to taste the new soda and rate how much they like it on a scale from 1 – 10 (1 being the “worst thing I ever tasted” to 10 being the “best thing I ever tasted”). In addition, you record their age. Use the 6 steps of hypothesis testing and SPSS to determine whether there is an association between ratings of Irish-Cream Cream-Soda and age. The data is provided below. Conduct the appropriate statistical test either by hand or via SPSS (listed at the bottom), record your answers on the answer sheet, and attach SPSS output.

a) State (0.5 pt) and calculate (0.5 pt) an acceptable measure of variability for Age? (1 pt)

b) What is the appropriate statistical test to answer question? (0.5 pt)

c) Step 1: What is your prediction regarding the results of the statistical test? (0.5 pt)

d) Step 2: Set up hypotheses (2 pts)

H₀ (1 pt):   

H₁ (1 pt):   

e) Step 3: Set criteria for decision (2 pts)

Critical value (1 pt):

Decision Rule (1 pt):   

f) Step 5: Report Results (2 pts) – Must include test statistic (0.5 pt), degrees of freedom (0.5 pt), p-value (0.5 pt), and appropriate measure of effect size (0.5 pt)

g) Step 6: Interpret the results of the statistical test in terms of the research question (1 pt)

SPSS DATA
(First Section = Age)
(Second Section = Rating)
48   1
48   4
26   8
24   3
24   7
23   10
23   9
33   6
33   5
30   5
29   5
26   10
41   3
40   2
35   3

We performed a linear regression analysis between number of times on phone per drive and number of near accidents. The equation is Y= 0.320 + 0.943X, where Y is the number of times on phone per drive and X is the number of near accidents. calculate the p-value and give a conclusion.

Find the expected count and the contribution to the chi-square statistic for the left-parenthesis C comma F right-parenthesis cell in the two-way table below. Upper D Upper E Upper F Upper G Total Upper A 39 30 36 36 141 Upper B 77 88 70 55 290 Upper C 21 37 27 28 113 Total 137 155 133 119 544 Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places. EXPECTED COUNT: CONTRIBUTION TO THE CHI-SQUARE STATISTICS:

Complaints concerning excessive commercials seem to grow as the amount of “clutter,” including commercials and advertisements for other television shows, steadily increases on network and cable television. A recent analysis by Nielsen Monitor-Plus compares the average nonprogram minutes in an hour of prime time for both network and cable television. Data for selected years are shown as follows. Year 1996 1999 2001 2004 Network 9.88 14.00 14.65 15.80 Cable 12.77 13.88 14.50 14.92 a. Calculate the correlation coefficient for the average nonprogram minutes in an hour of prime time between network and cable television. b. Conduct a hypothesis test to determine if a positive correlation exists between the average nonprogram minutes in an hour of prime time between network and cable television. Use a significance level of 0.05 and assume that these figures form a random sample.

PLEASE SHOW ALL CALCULATIONS!!

You suspect that an unscrupulous employee at a casino has tampered with a die; that is, he is using a loaded die. In order to test this claim, you roll the die 200 times and obtain the following frequencies:

1. Specify the null and alternative hypothesis in order to test your claim.
2. Approximate the p-value.
3. At a 10% significance level, can you conclude that the die is loaded?

Start from number 5

The following table shows the number of marriages in a given State broke down by age groups and gender:

                                                            AGE at the time of the marriage

Use the table to answer questions (1) to (11).

1. Use the information in the table to fill in the blanks in the row and column totals.

2. How many people (male and female) got married in the State?

3. If a person that was married was randomly chosen, what is the probability that the person was a female less than 20 years old? Express your answer as a percent rounded to the nearest whole percent.

4. If a person that was married was randomly chosen, what is the probability that the person was a male less than 20 years old? Express your answer as a percent rounded to the nearest whole percent.
5. If a person that was married was randomly chosen, what is the probability that the person was between the ages of 25 and 34? Express your answer as a percent rounded to the nearest whole percent.
6. Of the people over the age of 45 who got married, what percentage was female? What percentage was male? Express your answer as a percent rounded to the nearest whole percent.
7. Given that a person married was less than twenty years old, what is the probability that the person was male?
8. Given that a person married was female, what is the probability that the person was between the ages of 35 and 44?
9. If a person that was married was randomly chosen, what is the probability that the person was over the age of 45 or female?
10. If a person that was married was randomly chosen, what is the probability that the person is male and between the ages of 25 and 34
11. Describe two events, A and B, which are mutually exclusive for the number of marriages in the State. Calculate the probability of each event, and the probability of A or B occurring.

PART 2:

There are data that give the relative frequency probabilities of various types of accidents (such as being killed by lightning, by a shark bite, or by falling airplane debris).

Choose two types of fatal accidents and research the relative frequency probabilities of each. Compare and discuss your findings. Were you surprised by the results? Why or why not? Your answers should be a minimum of three complete sentences. Be sure to include your references.

Maurice’s Pump Manufacturing Company currently maintains plants in Atlanta and Tulsa that supply major distribution centers in Los Angeles and New York. Because of an expanding demand, Maurice has decided to open a third plant and has narrowed the choice to one of two cities—New Orleans or Houston. The pertinent production and distribution costs, as well as the plant capacities and distribution center demands, are shown in the following table.

Help the company decide which of the two proposed plant should be opened. Create a spreadsheet model of this situation and solve using Solver. Clearly show the values of the decision variables and the objective.