Hoping to lure more shoppers​ downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. For a random sample of

43 ​weekdays, daily fees collected averaged ​$128​, with standard deviation of ​1717.

Complete parts a through e below.

​

a) Find a 99​% confidence interval for the mean daily income this parking garage will generate.

The 99​% confidence interval for the mean daily income is ​($_________________, $___________​).

​(Round to two decimal places as​ needed.)

​

b) Explain in context what this confidence interval means.

Choose the correct answer below.

1. There is 99​% confidence that the daily income for a weekday falls in the interval.
2. There is 99​% confidence that the interval contains the mean daily income.
3. There is 99​% confidence that the daily income for all weekdays falls in the interval.
4. There is 99​% confidence that the mean daily income will always fall in the interval.

​

c) Explain what 99​% confidence means in this context.

Choose the correct answer below.

1. 99​% of all samples of size 43 produce intervals that contain the mean daily income.
2. 99​% of all samples of size 43 have a mean daily income that is in the interval.
3. 99​% of all weekdays sampled have daily incomes that fall in the interval.
4. 99​% of all weekdays have daily incomes that fall in the interval.

​

e) The consultant who advised the city on this project predicted that parking revenues would average ​$133 per day. Based on your confidence​ interval, what do you think of the​ consultant's prediction? ​ Why?

Since the 99​% confidence interval (Contains or Does Not Contain) the predicted​ average, the​ consultant's prediction is (Not Plausible or Plausible)

Win/Loss and With/Without Joe: Joe plays basketball for the Wildcats and missed some of the season due to an injury. The win/loss record with and without Joe is summarized in the contingency table below.

Observed Frequencies: O_i's

The Test: Test for a significant dependent relationship between wins/losses and whether or not Joe played. Conduct this test at the 0.05 significance level.

(a) What is the test statistic? Round your answer to 3 decimal places.

χ²

=

(b) What is the conclusion regarding the null hypothesis?

reject H₀

fail to reject H₀    

(c) Choose the appropriate concluding statement.

We have proven that Joe causes the team to do better.

The evidence suggests that the outcome of the game is dependent upon whether or not Joe played.     

There is not enough evidence to conclude that the outcome of the game is dependent upon whether or not Joe played.

We have proven that the outcome of the game is independent of whether or not Joe played.

The Oman National Grid Company ventures to a new project in the southern part of the Sultanate which is a 250-kilometer, 132 kilovolts transmission lines. The company has to choose between an Overhead transmission system and Underground transmission system. Table Q2 shows the initial investment for each type, the expected revenues during its lifetime which includes the cost savings incurred by underground transmission system over the overhead transmission system. The company has estimated a salvage value for each type of transmission to be 5% of the initial investment. As a company policy the minimum attractive rate of return MARR is 8% per year. Determine which of the two alternatives is acceptable to the company using the following methods; (i) Simple payback period; [7] (ii) Benefit cost ratio; [6] (ii) Net present value NPV; [6] (iii) Internal rate of return IRR

Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?

Group of answer choices

Data Set B

Data Set A

Flag this Question

Question 21 pts

Using Data Set A, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?

Data Set A:

Group of answer choices

0.88

0.98

1.98

1.88

Flag this Question

Question 31 pts

Using Data Set B, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?

Data Set B:

Group of answer choices

0.48

1.48

0.000048

0.0048

Flag this Question

Question 41 pts

Using Data Set A, what F and F critical values did you get?

Group of answer choices

0.013; 3.40

0.210; 4.10

0.00002; 2.21

1.98; 19.28

Flag this Question

Question 51 pts

Using Data Set B, what F and F critical values did you get?

Group of answer choices

12.12; 4.28

15.50; 3.40

30; 15.30

2.33; 9.38

Flag this Question

Question 61 pts

Below you will find the null and alternative hypothesis for an ANOVA:

For Data Set A, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?

Group of answer choices

Fail to Reject

Reject

Flag this Question

Question 71 pts

Below you will find the null and alternative hypothesis for an ANOVA:

For Data Set B, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?

Group of answer choices

Fail to Reject

Reject

Flag this Question

Question 81 pts

Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?

Group of answer choices

Data Set B

Data Set A

Flag this Question

Question 91 pts

Tell us, in a short answer, why we run a post-hoc test after an ANOVA? What can a T-test tell us? When you run the t-test, do we want a big or small P (T<=t) two-tail value? Why?

May I have the answers for the following questions step by step please.

1. Annual sales, in millions of euros, for 21 pharmaceutical companies follow.

          8408               1374               1872               8879               2459               11413             608

14138 6452 1850 2818 1356 10498 7478

4019 4341 739 2127 3653 5794 8305

1. Provide a five-number summary.
2. Compute the lower and upper limits for the box plot.

2. Suppose that IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation of

15.

1. What percentage of people have an IQ score between 85 and 115?
2. What percentage of people have an IQ score between 70 and 130?
3. What percentage of people have an IQ score of more than 130?
4. A person with an IQ score greater than 145 is considered a genius. Does the empirical rule support this statement? Explain.

3. A sample has data values 27, 25, 20, 15, 30, 34, 28, 25. Calculate the range, interquartile range, variance, standard deviation and coefficient of variation.

4. Use the below table to answer the questions:

1. What is the probability that the victim has fatalities?
2. What is the probability that the victim was an adult and he/she has serious injuries?
3. What is the probability that the victim was a child or he/she has fatalities?
4. What is the probability of a serious injury given the victim was a child?
5. What is the probability that the victim was an adult given a fatality occurred?

5. A company is about to sell to a new client. It knows from past experience that there is a real possibility that the client may default on payment. As a precaution the company checks with a consultant on the likelihood of the client defaulting in this case and is given an estimate of 20%. Sometimes the consultant gets it wrong. Your own experience of the consultant is that he is correct 70% of the time when he predicts that the client will default but that 20% of clients who he believes will not default actually do. What is the probability that the new client will not default?

a) What is the lower limit of the 95% confidence interval? Give your answer to three decimal places.

b) What is the upper limit of the 95% confidence interval? Give your answer to three decimal places.  
c) Based on this interval, does the claim that mean RC rating is the same for both suppliers seem reasonable?

No because 0 is not inside the interval.

Yes because 0 is not inside the interval.  

No because 0 is inside the interval.

Yes because 0 is inside the interval.

You are visiting an orchard with 6 different varieties of fruit: Pears, Bananas, Kiwis, Limes, Nectarines, and Dates.

They only have 8 pears left but they have an unlimited supply of the other fruit. You can only fill ys.our bag with 24 fruits.

How many ways can you fill your bag with 24 fruits with the restriction that you cannot take more than 8 pears?

Research Paradigms: Different kinds of research require different types of paradigms. Identify three types of research and the appropriate paradigm for each.

Q1) Construct IPO chart that calculate grade of someone. Working backwards by beginning with deciding the output should the grade be.  

QUESTION 5 [4]

A courier service company has found that their delivery time of parcels to clients is approximately normally distributed with a mean delivery time of 30 minutes and a variance of 25 minutes (squared).

a) What is the probability that a randomly selected parcel will take between 26 and 42 minutes to deliver? (2)

b) What is the maximum delivery time (minutes) for the 2.5% of parcels with the shortest time to deliver? (2)

A cereal company has claimed that one serving of their cereal has on average 120 calories with a standard deviation of 12 calories.  You decide to test their claims and examine 10 different recommended serving sized bowls for calorie count and nutritional content. The data is below.  With an alpha level of .05, does the evidence support the cereal company’s claims?  

α = .05

μ = 120

σ = 12

mean = _____

n = _____

The relationship between the amount of remaining carbon monoxide (CO) in an individual’s lungs and the time since that person last smoked a cigarette can be summarized using a linear regression approach.

Write down a simple linear regression model and the underlying assumptions. The following summary data was collected from 12 different smokers.

x = time since last smoked a cigarette (hours) y = amount of CO in ppm

n=12, x=1.88 sxx =25.8, syy =1805 SSE=877.4 Fitted regression line: ?̂ = ??. ?? − ?. ??? ?

(k) What is the residual at ?0 = 2.25 if the corresponding observed amount CO is

28ppm

(l) Estimate the mean amount of CO in the lungs for an elapsed time of 2.25 hours.

(m) Construct a 95% confidence interval for the true mean amount of CO in the lungs

for an elapsed time of 2.25 hours.

Please show all work.

Consider the following statements.

(i). If we are testing for the difference between two population means, it is assumed that the sample observations from one population are independent of the sample observations from the other population.

(ii). If we are testing for the difference between two population means, it is assumed that the two populations are approximately normal and have equal variances.

(iii). The critical value of t for a two-tail test of the difference of two means, a level of signifi- cance of 0.10 and sample sizes of seven and fifteen, is ±1.734.

Which of the following is true?

A. (i), (ii), and (iii) are all correct statements.

B. (i), (ii), and (iii) are all false statements.

C. (i) and (ii) are correct statements but not (iii).

D. (i) and (iii) are correct statements but not (ii). E. (ii) and (iii) are correct statements but not (i).

10 brands of vanilla yogurt and found these numbers of calories per serving:

130 160 150 120 110 170 160 110 130 90

- Check the assumptions and conditions for inference.

-Create a 95% confidence interval for the average calorie content of vanilla yogurt.

-A diet guide claims that you will get an average of 120 calories from a serving of vanilla yogurt. What does the

evidence above indicate? Use your confidence interval to test an appropriate hypothesis and state your conclusion.

a) The design specifications for a small PVC liner for a construction project calls for a thickness of 3.0 mm  0.1 mm. The standard deviation of the process is 0.02 mm. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 3.0 mm. What is the Cpk for this process? Is the process capable of meeting design specification?   

b) The following jobs are waiting to be processed at Spence’s Auto Repairs. These five jobs were logged as they arrived. Assume that all jobs arrived on day 180 and today is day 200.

Using the Critical Ratio scheduling rule, what sequence would the jobs be processed. [5 points]