A researcher decides to analyze the effects of nutrition on personality. He collects 7 pairs of identical twins and randomly assigns one twin from each pair to a controlled diet condition. The twins assigned to the other condition are allowed to eat whatever they please. The following are scores on a standardized personality inventory:

Personality inventory scores for twins in controlled diet condition:
10, 9, 4, 3, 8, 6, 7

Personality inventory scores for twins in eat-what-you-want condition:
16, 11, 9, 4, 5, 9, 12

NOTE: The order of the scores is important here. The first score in the controlled diet condition (10) should be paired with the first score from the other condition (16), etc.

Hint: This is a two-tailed test.

1. Null hypothesis:
2. Alternative hypothesis:
3. Statistical test (be specific!):
4. Significance level: alpha = .01
5. degrees of freedom:
6. Critical region (t-value):
7. Calculated t:
8. Decision:

You, recently participated in an experiment to test the effectiveness of saturation patrol on residential burglaries. Prior to the experiment there were two neighborhoods (both about the same size) in your city with an equal number of residential burglaries. Burglaries in these neighborhoods were inordinately high. Prior to the experiment both neighborhoods had the same number of patrol officers assigned to them across all shifts. The captain assigned twice the normal number of patrol officers to work in Neighborhood A (i.e. saturation patrol) in an effort to deter future burglaries. The captain did not change the normal number of patrol officers to work in Neighborhood B. At the end of six weeks the number of residential burglaries decreased in Neighborhood A but remained the same in Neighborhood B. The chief wants to know if the difference in residential burglaries between these two neighborhoods is statistically significant, i.e. not due to change. Answer the following questions. 1. What is the independent variable in this experiment? 2. At what level (nominal, ordinal or scale) is the independent variable measured? 3. What is the dependent variable in this experiment? 4. At what level (nominal, ordinal or scale) is the dependent variable measured? 5. What is the null hypothesis for this experiment? 6. What is the alternative (research) hypothesis for this experiment? 7. What type of hypothesis (difference or association) is the alternative (research) hypothesis? 8. Which of the statistical techniques that you have learned so far (Chi-Square or t-test) would be the most appropriate to analyze the data in this experiment?

with 90% confidence, for sample mean 375.00 sample standard deviation 12.80 and sample size 35, what is the upper confidence limit with 2 decimal places

I need to know how to answer this question only in Excel. Please include instructions, screenshots, etc. in Excel which explain the process (formulas included).

TropSun is a leading grower and distributer of fresh citrus products with three large citrus groves scattered around central Florida in the cities of Orlando, Eustis, and Winter Haven. TropSun currently has 275,000 bushels of citrus at the grove in Mt. Dora, 400,000 bushels at the groves in Eustis, and 300,000 bushels at the grove in Clermont. TropSun has citrus processing plants in Ocala, Orlando, and Leesburg with processing capabilities to handle 200,000, 600,000, and 225,000 bushels respectively. TropSun contracts with a local trucking company to transport its fruit from the groves to the processing plant. The trucking company charges a flat rate for each mile that each bushel of fruit must be transported. Each mile a bushel of fruit travels is known as a bushel-mile. The following table summarizes the distances (in miles) between the groves and processing plant.

TropSun wants to determine how many bushels to ship from each grove to each processing plant to minimize the total number of bushel-miles the fruit must be ship. [ Another way to put it, MINIMIZE the TRANSPORTATION costs of the bushel-miles from the groves to the Plants] (30 Points) HINT: What decision variables can change.

1. Define the decision variables.

2. Define the Constraints

3. Implement and Solve the Problem in Excel

4. Analyze the Solution, what is it telling the decision maker?

A group of students wish to examine how pesticides affect seedling growth. Seeds are randomly assigned to be planted in pots with soil treated with pesticide (treatment group, group 1) or in pots with untreated soil (control group, group 2). Seedling growth (in mm) is recorded after 2 weeks. The data for each group is given below.

Is there evidence that the average growth in mm differs between the pesticide and untreated groups?

What is the value of the test statistic?

The p-value?

In a test of the effectiveness of garlic for lowering​ cholesterol, 43 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol​ (in mg/dL) have a mean of 2.7 and a standard deviation of 16.3. Complete parts​ (a) and​ (b) below.

A. What is the best point estimate of the population mean net change in LDL cholesterol after the garlic​ treatment?

B. Construct a 90​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL​ cholesterol? What is the confidence interval estimate of the population mean muμ​?

C. What does the confidence interval suggest about the effectiveness of the​ treatment? Do they contain 0? Did it affect the cholesterol levels?

1. Nine samples of PVC pipe of equal wall thickness are tested under three temperature conditions to failure, yielding the results shown below. Research questions: Is mean burst strength affected by temperature level? Is there an “ideal” temperature level? Explain. You will need to enter the data into Minitab.

• At the 0.05 level of significance, determine if there is a difference mean burst strength by temperature level. State your hypotheses and show all 7 steps clearly. (14 points)
• Give and interpret the p-value. (3 points)
• Should Tukey pairwise comparisons be conducted? Why or why not? (3 points)
• If appropriate, use Minitab to produce Tukey pairwise comparison. Write a few sentences with your conclusions from those comparisons. (4 points)
• Use Levene’s test to determine if the assumption of homogeneity of variances is valid. Give the hypotheses, test statistic, p-value, decision and conclusion. Use the 0.05 level of significance. (8 points)
• Verify with Minitab by attaching or including relevant output. (6 points)

Suppose you plan to take a survey of math students asked about their overall grades. 22 students were surveyed, and it was found that the average GPA of the 22 sampled students was a 3.2, with a standard deviation of 0.9 points. Suppose you want to re-sample the population to reduce the margin of error. If you plan to calculate a 90% confidence interval for the true mean GPA of math students, how many samples would be necessary to reduce the margin of error to 0.2 points? Round your answer to the nearest whole number, and remember it's always better to sample too many rather than not enough.

Compute each of the following:

a. F1+F2+F3+F4+F5

b. F1+2+3+4

c. F3xF4

d. F3X4

Given that FN represents the Nth Fibonacci number, and that F31 =1,346, 269 and F33 = 3,524,578, find the following: a. F32 b. F34

25. Solve the quadratic equation using the quadratic formula: 3x^2-2x-11=0

Problems 16 through 18 refer to the following preference schedule.

14,12, 10, 7, 6

1st A B D C C

2nd C C C B B

3rd B D A A D

4th D A B D A

16. Determine which candidate (A, B, C, or D) wins the election using the Borda count method.

17. Determine which candidate (A, B, C, or D) wins the election using the plurality-withelimination method.

18. Determine which candidate (A, B, C, or D) wins the election using the method of pairwise comparisons.

The Twister Roller Coaster always has a long line of thrill seekers waiting to take a ride on it. A random sample of 60 riders waited in line a mean time of 42 minutes with a standard deviation of 12 minutes. Find a 90% confidence interval for the population mean waiting time in the Twister line.

It costs a pharmaceutical company $75,000 to produce a 1,000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for $125 per pound and leftover amounts of the drug can be sold for $30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.

for a fixed sample size as the number of indeoendent variables in a regression model increases the power of the regression decreases. T or F

The width of a 95% confidence interval around a relative risk increases as the sample size decreases. T or F

the data set shown​ below, complete parts​ (a) through​ (d) below. x 3 4 5 7 8 y 5 7 8 12 13 ​(a)  Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing ​(Round to three decimal places as​ needed.) beta 1almost equalsb 1equals nothing ​(Round to three decimal places as​ needed.)

A scientist measured the speed of light. His values are in​ km/sec and have​ 299,000 subtracted from them. He reported the results of 30 trials with a mean of 756.23 and a standard deviation of 108.68.

​a) Find a 95​% confidence interval for the true speed of light from these statistics.

​b) State in words what this interval means. Keep in mind that the speed of light is a physical constant​ that, as far as we​ know, has a value that is true throughout the universe.

​c) What assumptions must you make in order to use your​ method?