Use Minitab to construct an 85% confidence interval for the proportion of all residents in the state that favor a pro-nuclear energy policy. Please show me the steps.

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Given trap spacings among two lobster fishing crews: BT cooperative has spacings = {93, 99, 105, 94, 82, 70, 86} PA cooperative has spacings = {118, 94, 106, 72, 90, 66, 153, 98}

a) Set up null and alternative hypotheses for testing the equality of variances

b) Find the sample variances for the two cooperatives.

c) Compute the test statistic.

d) Find the approximate p-value of the test.

e) Make a conclusion if ? = .01.

1. Given PMF f(x) =(x^2−3)/20 for X= 2,3,4

•Make a probability distribution table for X

•Find the CDF of X,F(x)

•Find the mean of X,μX, and the S.D. of X,σX

•If Y=1/3 X+ 2, find the mean of Y,μY, and the S.D. of YσY

Sample statistics for a local bank and a competitor's bank

1. Are the samples dependent or independent?
2. State your Null/Alternative hypotheses
3. What is the test-statistic?
4. What is the p-value?
5. What are the critical values?
6. Does the test-statistic lie in the rejection region?
7. Interpret the Result?
8. Does the result change for a different value of alpha? Explain?

13))

A sample containing years to maturity and yield for 40 corporate bonds are contained in the data given below.

a. What is the sample mean years to maturity for corporate bonds and what is the sample standard deviation?

Mean (to 4 decimals) _____ Standard deviation______ (to 4 decimals)

b. Develop a 95% confidence interval for the population mean years to maturity. Round the answer to four decimal places. ( , )years

c. What is the sample mean yield on corporate bonds and what is the sample standard deviation?

Mean _________(to 4 decimals) Standard deviation __________(to 4 decimals)

A political scientist hypothesize that a political ad will increase attitudes about a particular issue. The scientist randomly asks 25 individuals walking by to see the ad and then take a quiz on the issue. The general public that knows little to nothing about the issue, on average, scores 50 on the quiz. The individuals that saw the ad scored an average of 47.55 with a variance of 28.73. What can the political scientist conclude with an α of 0.05?

a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples t-test related-samples t-test

b)
Population:
---Select--- the ad individuals walking by general public the particular issue the political ad
Sample:
---Select--- the ad individuals walking by general public the particular issue the political ad

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

Individuals that watched the political ad scored significantly higher on the quiz than the general public.Individuals that watched the political ad scored significantly lower on the quiz than the general public.    Individuals that watched the political ad did not score significantly different on the quiz than the general public.

How do horsepower and weight affect the mileage of family cars? Data from a sample of 12 2012 family cars are given below (Data extracted from “Top 2012 Cars,” Consumer Reports, April 2012, pp. 40–73.) Develop a regression model to predict mileage (as measured by miles per gallon) based on the horsepower of the car’s engine and the weight of the car (in pounds). Car MPG Horsepower Weight Audi A3 25 200 3305 Chrysler 200 21 173 3590 Dodge Avenger 21 173 3440 Ford Fusion 24 240 3365 Honda Accord 25 177 3285 Kia Optima 25 200 3260 Mazda6 24 170 3185 Mitsubishi Galant 23 160 3430 Nissan Altima 26 175 3155 Suburu Legacy 25 170 3390 Toyota Camry 27 173 3155 Volkswagen Passat 25 170 3270 Use Excel to find the multiple regression results for this problem. Include Excel results with your submission. a. State the multiple regression equation for this problem. b. Interpret the meaning of the slopes, b1 and b2, in this problem. c. Does the regression coefficient, b0, has a practical meaning in the context of this problem. d. Predict the miles per gallon for cars that have 190 horsepower and weigh 3,500 pounds. e. Compute the coefficient of multiple determination, r2, and interpret its meaning. f. Compute the adjusted r2.

Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 95% confidence interval for p given that p Overscript ^ EndScripts equals 0.42 and n equals 450. Round your answer for the best point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places.

best point estimate ?

MOE?

95% CI?

Let μ1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let μ2 denote the true average tread life for an economy brand of the same size. Test H0: μ1 − μ2 = 5000 versus Ha: μ1 − μ2 > 5000 at level 0.01, using the following data: m = 35, x = 42,100, s1 = 2500, n = 35, y = 36,900, and s2 = 1500. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 0.4058 Correct: Your answer is correct. P-value = 0.5942 Incorrect: Your answer is incorrect.

11. For a local basketball league, there were 10 teams whose players were assigned to a team based on their score on an abilities test. Those results are given below.

The summary statistics are:

1. From just looking at the summary data, what conclusions might you draw? (You may want to talk about average and/or variance)

During the holiday season, shoppers were asked to estimate how much money they spent on gifts for themselves. Raw data is given below. Are the reported amounts significantly less than the actual amounts as determined from the receipts?

1) Write Ho (null) and H1 (alternative); indicate which is being tested.

2) Perform the statistical test ad write answer to the original question as a statement related to the original query

2) Construct a 99% confidence interval estimate of the mean difference between reported amounts and actual amounts . Interpret the resulting confidence interval, does it contain 0?

A student in a statistics class tossed a die 300 times and obtained the results shown in the table. Is the die fair? In other words does it fit a uniform distribution? Let alpha =.05        

A. What is the null hypothesis?

B. What is the alternative hypothesis?

C. What distribution are you using?

D. What test are you running?

E. What is your conclusion?

You spoke with your instructor and she claimed that the average number of hours that you should study has to be more than 5 hours per week which will help you achieve an above average grade on any subject. She also suggested as a practice that you can test her claim and let her know what your conclusion is. So you decided to contact your peers and gather information to conduct a hypothesis to test your instructors claim.

Questions:

1. Contact at least 15 peers (they don’t have to be from the same class) and obtain how much time they study each week.

2. If you are to conduct a hypothesis test using the data you gathered,
   1. Which test (t test or z test) do you think be appropriate and why?
      (Hint: think about whether you have the population or sample standard deviation available)

2. Is this a test on population proportion or mean?

3. Calculate the sample statistics (sample mean or sample proportion based on the information given) (1 mark)

4. Use the data set you gathered to conduct a hypothesis test to determine your instructor’s claim. Use 0.05 level of significance. Please show your work, the 5 steps as described in the textbook.

3. Construct a 95% confidence interval for the population mean number of hours. Show your work.

When is SRS preferred over stratified sampling? That is, under what circumstances is straified sampling inferior to SRS? My professor said "when within variance is larger, and between mean is smaller" stratified sampling isnt going to do much, and SRS would suffice. However, it is unclear what this means. Thoughts?