Real Fruit Juice (Raw Data, Software Required):
A 32 ounce can of a popular fruit drink claims to contain 20% real fruit juice. Since this is a 32 ounce can, they are actually claiming that the can contains 6.4 ounces of real fruit juice. The consumer protection agency samples 30 such cans of this fruit drink. The amount of real fruit juice in each can is given in the table below. Test the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces. Test this claim at the 0.01 significance level.

According to the National Association of Colleges and Employers, the 2015 mean starting salary for new college graduates in health sciences was $51,541. The mean 2015 starting salary for new college graduates in business was $53,901. † Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business is $17,000.

(a) What is the probability that a new college graduate in business will earn a starting salary of at least $61,000? (Round your answer to four decimal places.)

(b) What is the probability that a new college graduate in health sciences will earn a starting salary of at least $61,000? (Round your answer to four decimal places.)

(c) What is the probability that a new college graduate in health sciences will earn a starting salary less than $42,000? (Round your answer to four decimal places.)

(d) How much would a new college graduate in business have to earn in dollars in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences? (Round your answer to the nearest whole number.)

Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter months). One therapy for SAD is phototherapy, which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of patients with SAD to different intensities of light (low, medium, high) in a light box, either in the morning or at night (these are the times thought to be most effective for light therapy). All participants rated their mood following this therapy on a scale from 1 (poor mood) to 9 (improved mood). The hypothetical results are given in the following table.

(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Round your answers to two decimal places. Assume experimentwise alpha equal to 0.05.)

State the decision for the main effect of the time of day.

Retain the null hypothesis or Reject the null hypothesis.    

State the decision for the main effect of intensity.

Retain the null hypothesis or Reject the null hypothesis.    

State the decision for the interaction effect.

Retain the null hypothesis or Reject the null hypothesis.    

(b) Compute Tukey's HSD to analyze the significant main effect.

The critical value is_________ for each pairwise comparison.

Summarize the results for this test using APA format.

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $20,000 and $50,000 . Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired.

a. What is the planning value for the population standard deviation? _____

b. How large a sample should be taken if the desired margin of error is $300? Round your answer to next whole number.

____________

$250? _______

$140? _______

c. Would you recommend trying to obtain the $140 margin of error? Explain.
- Select your answer -Yes, it always better to be more accurate.No, the sample size would probably be too time consuming and costly.Item 5

how can you apply the concept "testing a claim about a proportion" to the following activities:

watching football

working at a gym

what can you test in these two activites and how can we apply the concept

Statistical estimation

A metalworking company has 192 operators. In a random sample of 50 of them, the average number of overtime hours worked in a week and their standard deviation was 9.6 and 6.2 hours respectively.

a.In order to program the economic resources for all the personnel of operators, the personnel department decides: To estimate with a confidence of 96% the average number of overtime hours worked by each operator during a week.
b. Estimate with a 99% confidence the total number of overtime hours worked by the company's operators for a week.

An individual buys 10 raffle tickets in hopes of winning one of 15 prizes to be given away by drawing tickets without replacement. The total number of raffle tickets sold is 168. Lt X be the number of prizes won by the individual.

A) Find the probability the individual wins at least one prize

B) Calculate the expected value E(X) accurate to 4 decimal places

C) Calculate the standard deviation SD(X) accurate to 4 decimal places

DATE FILE MPG2

Use Data Set G, Mileage and Vehicle Weight, on page 536 of your textbook to answer the following questions. The data are found in the Excel Data file, MPG2, which is posted on Canvas under Modules under Chapter 12 Textbook data. The first column (Weight) is X, or the independent, variable and the second column (City MPG) is Y, or the dependent, variable. Use MINITAB to obtain the simple regression equation, confidence interval, prediction interval, and required graphs. Insert tables and graphs in your report as appropriate.

Use Minitab and produce the appropriate output to answer the following questions. Attach the output.

1. Construct a scatter plot. Recalling what scatter plots are used for, write a couple of sentences addressing what you observed from the plot. Be sure to relate your observations to the purpose of using scatter plots in regression. (4 points)

2. Can we conclude that Weight of a vehicle helps in predicting City MPG? Follow the 7 steps for hypothesis testing. (12 points)

3. Find the sample regression equation and interpret the coefficients. Remember your interpretations should be in terms of the problem. (4 points)

4. Find the coefficient of determination, and interpret its value. (2 points)

5. Use residual analysis to check the validity of the model and fully explain your findings and conclusions. (6 points)

6. Estimate with 95% confidence the average City MPG all vehicles with a Weight of 3500 lbs. Predict with 95% confidence the City MPG for an individual vehicle with a weight of 3500 lbs. Write at least one sentence using your confidence interval and at least one sentence using your prediction interval. (10 points)

7. Verify that the p-value for the F is the same as the slope t statistic’s p-value, and show that t2 = F. (2 points)

Which type of t inference procedure?

(A: one sample, B: matched pairs, C: two samples)

1. ______Is blood pressure altered by use of an oral contraceptive? Comparing a sample of women not using an OC with a sample of women taking it.

2. ______Average cholesterol level in general adult population is 175 mg/dl. Take a sample of adults with ‘high cholesterol’ parents. Is the mean cholesterol level higher in this population?

3. ______Does bread lose vitamin with storage? Take a sample of bread loaves and compare vitamin content right after baking and again after 3 days later.

4. ______Does bread lose vitamin with storage? Take a sample of bread loaves just baked and a sample of bread loaves stored for 3 days and compare vitamin content.

Nowadays, movies can be rented from a vending machine located at the entrance to many stores.  Suppose that it is now Friday evening at 8pm and a certain machine within a certain store has six copiesof the movie “Twilight” available for rent.  The machine will not be visited by the owner until Sunday afternoon at noon (which is 40hrs later), at which time returned movies will be restocked.

Suppose that customers wanting to rent “Twilight” arrive at this rental machine at a rate of 1 every 5 hours.

LetW= the time (in hours) until the next “Twilight” renter arrives at the machine.

Name the distribution of Wand identify the parameter.

Distribution name:  ___________________

Parameter value:  ___________________

What is the chance the next “Twilight” renter arrives sometime on Saturday?

      Thus, we seek the P( ___ < W< ___ ) which equals ________________?

LetX= the number of renters wanting “Twilight” that come to the

vending machine over the weekend (Fri 8pm until Sunday noon).

Name the distribution of Xand identify the parameter.

Distribution name:  ___________________

Parameter value:  ___________________

What is the probability that exactly 4 copies of “Twilight” are rented over

       the weekend?  Thus, we seek the P(X= 4) which equals ________________?

What is the probability that all copies of “Twilight” are rented over the

      weekend?  Thus, we seek  P( X __  __ ) which equals ________________?

A psychologist wants to determine if aging has an impact on depression. It is known that the general population scores a 41 on a standardized depression test where a higher score indicates more depression. The psychologist obtains a sample of individuals that are all over 67 years old. What can the psychologist conclude with an α of 0.01? The data are below.

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--- aging standardized depression test depression elderly general population
Sample:
---Select--- aging standardized depression test depression elderly general population

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.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

d) Using the SPSS results, 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

e) Make an interpretation based on the results.

The elderly are significantly more depressed than the population.

The elderly are significantly less depressed than the population.    

The elderly did not significantly differ on depression than the population

1. Suppose that a fire insurance company wants to relate the amount of fire damage in major residential fires to the distance between the burning house and the nearest fire station. The study is to be conducted in a large suburb of a major city. A sample of 14 recent fires in this suburb is selected. The amount of damage, y, and the distance between the fire and the nearest station, x, are given below. We are interested in building a regression model to predict fire damage y, given the distance from the fire x.

1. Is the predictor distance significant? What is the test statistic and p value?
2. What is the amount of variation explained in the model?
3. What is the standard error of the estimated regression line?
4. Use the final regression equation to predict the damage caused by the fire that is 6.5 miles away from the nearest station.

A charity organization hosts a raffle drawing at a fund raising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected, with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000. Suppose you buy one ticket. Let the random variable X represent your net gain from playing the game once (remember that the net gain should include the cost of the ticket). Use the table below to help you construct a probability distribution for all of the possible values of X and their probabilities. Find the mean/expected value of X. (Round to two decimal places.) In complete sentences, describe the interpretation of what your value from #2 represents in the context of the raffle. If you were to play in such a raffle 100 times, what is the expected net gain? Would you choose to buy a ticket for the raffle? (Your response should be a short paragraph, written in complete sentences, to explain why or why not.) What ticket price would make it a fair game, so that, on average, neither the players nor the organizers of the raffle win or lose money? (Round to two decimal places.)

4. In a normal distribution with ?(?) = 100 and ??(?) = 16, find the predicted a. 8th percentile. b. 22nd percentile. c. median. d. ?3. e. 95th percentile.

6 In a data set, ? = 38, ?̅= 110.4, and ? = 20.9. In a normal distribution having the same features, find a. the predicted 30th percentile. b. the predicted 70th percentile. c. the predicted percentile corresponding to the 20th ordered data value. d. the predicted percentile corresponding to the 6th ordered data value.

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.

EnergyView
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
Nuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
Nuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
Nuclear
NotNuclear
Nuclear
Nuclear
Nuclear
NotNuclear
Nuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
Nuclear
Nuclear
Nuclear
Nuclear
NotNuclear
Nuclear
Nuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
Nuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
Nuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
NotNuclear
NotNuclear
Nuclear
NotNuclear
Nuclear
Nuclear
Nuclear
Nuclear
Nuclear
NotNuclear
NotNuclear