Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes the plane to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, the airline decided to collect some data. Specifically, a random sample of 1000 passengers was selected. Researchers observed the passengers and noted the number of bags each person carried on the plane. Out of the 1000 passengers, 340 had more than one bag.

1. Based on this sample, develop and interpret a 99% confidence interval estimate for the proportion of the traveling population that would have been impacted had the “one-bag” limit been in effect. Discuss your result.

2. The domestic version of Boeing’s 757 has a capacity for 220 passengers. Determine an interval estimate of the number of passengers you would expect to board the plane with more than one carry-on. Assume the plane is at its passenger capacity.

a. What is hypothesis testing in statistics? Discuss

b. Does Type I error being considered more serious than Type II error? Explain

c. What is the p-value of a test? Give an example

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.77.

(c) How large a sample size is necessary if the width of the 95% interval is to be 0.42? (Round your answer up to the nearest whole number.)

(d) What sample size is necessary to estimate true average porosity to within 0.23 with 99% confidence? (Round your answer up to the nearest whole number.)

1) A student learns that on his most recent exam in environmental science, the sample mean was 67.08 with a standard deviation of 16.81. He scored a 75. If we assume that this is a population, and is normally distributed, what proportion of students in the class scored worse than this student? Enter your answer to four decimal places.

This chapter and assignment further explore standards for interoperability. The HIMSS definition of interoperability states, “The ability of two or more systems or components to exchange information and to use the information that has been exchanged.” HIM professionals often are the subject matter experts when a question about standards arises and need to help guide the IT analysts and workers at their organization. An example from a recent conference I attended: “The IT professionals will say, we can make that happen, but it is the HIM professionals that have to caution them to slow down and think through the consequences, i.e., explain to the IT professionals why it may not be logical or practical to proceed.”

Instructions

Please answer the following questions on the discussion board and then respond to two of your classmates’ postings. Responses should be approximately 250 words for this assignment. A rubric is included for guidance on all discussion board postings. NOTE In order to see the postings your classmates have made, you must first post your response.

1. Identify what standards and regulations must be considered when promoting interoperability (organization-to-organization versus a merger and acquisition).
2. Are there some standards that are imperative? Are there some that are priorities over others?
3. Are there any standards are that are not necessary?

A shop is selling stationery through two shops in town, and their website allows online orders. They receive online orders from two of their regular customers, each requiring glossy A3 printing paper. Customer X needs 40 boxes, whereas customer Y needs 60 boxes.

The shop in the north side of town has 85 boxes of glossy A3 paper in stock, whereas their south side shop has 55 boxes in stock. Delivery costs per box are as follows: $0.55 from the north shop to customer X, $0.65 from the north shop to customer Y, $0.45 from the south shop to customer X, and $0.60 from the south shop to customer Y.

Solve using simplex method and draw a clear graphical representation of the problem.

a) Develop the optimization problem to minimize the total delivery costs for this shop.

b) Identify how many boxes of glossy A3 paper need to be shipped from which shop to the two customers. Show your calculations in detail, along with a graphical interpretation of the problem and its solution.

Remember that there is a common notation for the number of levels in a factor and the total number of scores in the entire study. Using these symbols, what are the formulas for each of the following:
dftotal= syntax error

dfwithin=
(also known as the denominator degrees of freedom or the error term degrees of freedom)

dfbetween=
(also know as the numerator degrees of freedom or the treatment degrees of freedom)

6.124a During the National Football League’s 2014 AFC championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average air pressure of 11.1 psi, with a standard deviation of 0.40 psi.

1. Assuming this is a representative sample of all footballs used by the Patriots in the 2014 season, perform the appropriate test to determine if the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of 12.5 psi. There is no extreme skewness or outliers in the data, so it is appropriate to use the t-distribution.

An anthropologist records the heights (in inches) of ten fathers and their sons. Use the Spearman rank correlation test to analyze the results.

Step 1 of 2:

Find the value of the correlation coefficient to test for an association between the heights of the fathers and the heights of their sons. Round your answer to four decimal places, if necessary.

A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 4 inches and a standard deviation of 0.10 inch. The quality control inspector takes a sample of 16 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 3.96 inches or greater than 4.04 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 16 nails, the inspector will conclude that the machine needs an adjustment?

Round your answer to 4 decimal places.

3. A manufacturer of photographic flash batteries took a sample of 13 batteries from the production of any given day and used them continuously until they were used up. Battery life in hours until it ran out was: 342, 426, 317, 545, 264, 451, 749, 631, 512, 266, 492, 562 and 298. With a significance level of 0.05, there is evidence that the Battery life is more than 400 hours? (assume that life times have normal distribution)

A random sample found that thirty-eight percent of 50 Americans were satisfied with the gun control laws in 2017. Compute a 90% confidence interval for the true proportion of Americans who were satisifed with the gun control laws in 2017. Fill in the blanks appropriately. A 90% for the true proportion of Americans who were satisfied with the gun control laws in 2017 is ( , ) (Keep 3 decimal places)

Let X represent a binomial random variable with n = 380 and p = 0.78. Find the following probabilities. (Round your final answers to 4 decimal places.) Probability a. P(X ≤ 300) b. P(X > 320) c. P(305 ≤ X ≤ 325) d. P( X = 290)

A hair salon reports that on seven randomly selected weekdays, the number of customers who visited the salon were 35, 30, 28, 12, 36, 16 and 50. The population standard deviation is not given to us. Construct a 90% confidence interval for the average number of customers who visit the salon on weekdays. Interpret this. Now we have been told that we can use a normal distribution with a population standard deviation of 6. Construct a 95% confidence interval for the average number of customers who visit the salon on weekdays.