As the quality engineer for a small chain of fast food restaurants called McDowell’s (They’ve got the Big Mac, we’ve got the Big Mick), you’re interested in describing the consistency of the foodstuffs at a particular branch. In particular, you want to develop graphical and numerical representations of the (i) weight of and (ii) number of fries in a small bag of McDowell’s fries. You’ll find a sample of 32 bags in the below table.

a. Provide numerical descriptions of the weights and numbers of fries in the sample.

b. Calculate and interpret 95% confidence intervals for the weight of a bag of small fries and the number of fries in a bag of small fries.

c. If the target value set by McDowell’s for the weight of a small order of fries is 2.61 ounces, what might you conclude based on your sample?

d. As a quality control engineer, what could you do with such information?

Sarah claims that her “miracle bait” is a more effective lure for panfish than the old- fashioned lure that Bill uses. Sarah and Bill went on 12 fishing expeditions in the same boat last summer and kept the following day-by-day record of the number of panfish they caught:

Do these statistics support Sarah’s argument sufficiently to convince Bill to switch to her “miracle bait”, which is somewhat more expensive than the bait Bill is currently using?

Past participantin a training program designed to upgrade the skills of production. Line supervisors spent an average of 500 hours on the program with standard deviation of 100 hours. Assume a normal distribution.

(i) What is the probability that a participant selected at random will require no less than 500 hours to complete the program ?

(ii) What is the probablity that a participant selected at random will take between 500 and 650 hours to complete the program ?

(iii) What is the probablity that a participant selected at random will take more than 700 hours to complete the program ?

(iv) What is the probablity that a participant selected at random will take between 550 and 650 hours to complete the program ?

(v) What is the probablity that a participant selected at random will require fewer than 580 hours to complete the program ?

(vi) What is the probablity that a participant selected at random will take between 480 and 570 hours to complete the program ?

Describe the center and spread of the following values:

Min: 3.31

Max: 5.21

Std Dev. 0.4339

Mean: 4.08

Median: 4.02

1st Quartile: 3.78

3rd Quartile: 4.40

what are the pros and con of frequency table, bar graph, histogram, pie graph, steam leaf display, dot plot, pictogram, frequency polygon, box plot, pareto graph

1. Predict the selling price for a house with nine rooms that is located in the east-side neighborhood. Construct a 95% confidence interval estimate and 95% prediction interval.
2. Perform a residual analysis on the results and determine whether the regression assumptions are valid.
3. Is there a significant relationship between selling price and the two independent variables (rooms and neighborhood) at the 0.05 level of significance?
4. At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model. Indicate the most appropriate regression model for this set of data.
5. Construct and interpret a 95% confidence interval estimate of the population slope for the relationship between selling price and number of rooms.
6. Construct and interpret a 95% confidence interval estimate of the population slope for the relationship between selling price and neighborhood.
7. Compute and interpret the adjusted r².
8. (omit…)
1. What assumption do you need to make about the slope of selling price with number of rooms.
10. Add an interaction term to the model and, at the 0.05 level of significance, determine whether it makes a significant contribution to the model.
11. On the basis of the results of (f) and (l), which model is most appropriate? Explain.

Write a 300-word post in apa format on Descriptive and Inferential Statistics.

• Provide an example of when each would be used for decisions in business.
• Your post should be supported by 3 peer-reviewed articles to support your comments. APA Citations

13.) According to a recent​ report, 46​% of college student internships are unpaid. A recent survey of 120 college interns at a local university found that 60 had unpaid internships.

- Use the​ five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.46. Assume that the study found that 69 of the 120 college interns had unpaid internships and repeat​ (a). Are the conclusions the​ same?

Let π be the population proportion. Determine the null​ hypothesis, H0​, and the alternative​ hypothesis,

H1​: π = ____

H1​: π ≠ ____

​(Type integers or decimals. Do not​ round.)

- What is the test​ statistic? ZSTAT = _____ ​ (Round to two decimal places as​ needed.)

- What is the​ p-value? ​(Round to three decimal places as​ needed.)

- What is the final​ conclusion?   ________ the null hypothesis. There _____ sufficient evidence that the proportion of college interns that had unpaid internships is ________ 0.46 because the​ p-value is ________ the level of significance.

- Assume that the study found that 60 of the 120 college interns had unpaid internships and repeat​ (a). What is the test​ statistic? ZSTAT = _____ ​(Round to two decimal places as​ needed.)

- What is the​ p-value? The​ p-value is _____ (Round to three decimal places as​ needed.)

- What is the final​ conclusion? The result is ___________ part​ (a). ________ the null hypothesis. There ____ sufficient evidence that the proportion of college interns that had unpaid internships _____________ 0.46 because the​ p-value ____________ the level of significance.

14.) Recently, a large academic medical center determined that 9 of 23 employees in a particular position were male​, whereas 57% of the employees for this position in the general workforce were male. At the 0.01 level of​ significance, is there evidence that the proportion of male in this position at this medical center is different from what would be expected in the general​ workforce?

What are the correct hypotheses to test to determine if the proportion is​ different?

- Calculate the test statistic. ZSTAT = _______

- What is the​ p-value? The​ p-value is ________

- State the conclusion of the test. __________ the null hypothesis. There is __________ evidence to conclude that the proportion of male in this position at this medical center is different from the proportion in the general workforce.

Suppose that Teeny Weeny Airlines (TWA) operates a very small flight from Charleston to Bermuda with only five seats available on the aircraft. They're interested in determining whether they should follow the lead of the larger carriers and oversell that flight to increase their revenue and minimize flights with empty seats. Assume that the event of a ticketed passenger not showing up for a flight is 0.10 and that the no-show events are independent.  

A. Suppose TWA decides to sell up to 6 tickets per flight. Assuming that the distribution of passenger no-shows follows a binomial distribution, create a table showing the probability of 0, 1, 2, 3, 4, 5, and 6 no-shows on a flight when there are 6 tickets sold.

B. What is the probability that exactly 1 ticketed passenger out of 6 will not show up for a flight?

C. What is the probability that at least 1 ticketed passenger out of 6 will not show up for a flight?

D. Suppose TWA sells non-refundable tickets for $200 apiece. Any passenger who is bumped due to overselling will be guaranteed the next available seat (which it costs on average $250) at no additional cost and given vouchers for two free flights in the future (which it costs on average $400). Would you recommend that TWA pursue the overselling strategy? Why or why not?

Asset A pays $1,500 with certainty, while asset B pays $2,000 with probability 0.8 or $100 with probability 0.2. If offered the choice between assets A and B, a particular decision maker would choose asset A. Asset C pays $1,500 with probability 0.25 or $100 with probability 0.75, while asset D pays $2,000 with probability 0.2 or $100 with probability 0.8. If offered the choice between assets C and D, the decision maker would choose asset D. Show that the decision maker's preferences violate the independence axiom.

PLEASE HELP SHOW WORK PLEASE!!

I need the CORRECT answer!!!

A recent national survey found that high school students watched an average (mean) of 7.4 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 34 college students revealed that the mean number of movies watched last month was 6.9. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

State the null hypothesis and the alternate hypothesis.

State the decision rule.

Compute the value of the test statistic.

What is the p-value?

1. A consulting firm must decide now whether to hire a young engineer. The main purpose of this engineer would be to work on a contract that the firm hopes to win. This new contract will begin in 2 months and last for 4 months. If the firm hires the engineer and wins the contract, the firm will make a profit of $6000 on the new contract (this figure allows for the cost of the new engineer during the 4 months of the contract). During the new employee’s first 2 months (before the new contract begins), he can be assigned to various projects, reducing overtime costs for other employees by $1200 per month. The cost of employing this engineer (salary, taxes, and benefits) is $2,000 per month, so it is clear that the firm will lose money on him for his first 2 months. If the firm hires the engineer but does not win the contract, it cannot fire him until he has completed 3 months of work. During the third month he will not really be needed, and the work he will do will be worth only $400 to the firm. If the firm does not hire the engineer but wins the contract, it will be forced to hire somebody in a rush. There is only a 45% chance that it would be able to find another young qualified engineer on such notice for $2000/month, and if it is unable to find one it will have to pay $3,000/month for an experienced engineer to work 4 months on the project.

a) The president of the firm feels the firm has a 60% chance of winning the contract. Should it hire the engineer now or wait until it knows whether it won the contract?

b) What is the “indifference probability” of winning the contract, i.e. the probability at which the firm is indifferent between hiring the engineer now and waiting until it knows whether it won the contract?

2. On the first of the month, you must decide whether or not to buy a monthly bus pass for $25. You usually drive to work, but your car must go in for service, and you will be forced to ride the bus. Over the phone, the mechanic estimated an 80% chance that the car’s problem is major, requiring 10 working days of service. However, if the mechanic finds only a “minor” problem, you will be without the car for only 5 working days. The bus fare is $3.00 per day. Should you buy the bus pass? Base your decision on the expected cost of riding the bus for the month.

R software

Create a list made up of two Vectors, two Data frames and Two Matrices.

i) Name the elements of the list appropriately

ii) Output just the two vectors

iii) Output just the two matrices