Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken eleven blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.89 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.)

lower limit

upper limit

margin of error

(b) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.10 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)
_______ blood tests

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 44 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.00 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)

lower limit

upper limit

margin of error

(b) What conditions are necessary for your calculations? (Select all that apply.)

A)the distribution of weights is uniform

B)σ is unknown

C)the distribution of weights is normal

D) n is large

E) σ is known

(c) Interpret your results in the context of this problem. select one

A).The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.

B)1% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.

C)99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.

D)The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.

(d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.40 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)

_______male firefighters

A farmer must decide what crops to grow on a 300-hectare tract of land. He can grow oats, wheat, or barley, which yield 50, 100 and 80 kg/hectare (respectively) and sell for $1.00, $0.80, and $0.60 per kg (respectively). Production costs (fertilizer, labor, etc.) are $40, $50, and $40 per hectare for growing oats, wheat and barley, respectively. Government regulations restrict the farmer to a maximum of 150 hectares of wheat and his crop rotation schedule requires that he plants at least 50 hectares in oats and 50 hectares in barley. Because of his storage arrangements, the farmer wants the number of hectares of oats to be equal to or less than half the number of hectares of barley.

a. Formulate algebraically the linear programming model of this problem that will maximize the farmer profit (i.e. revenue – cost) and help him/her decides what crops to grow on his/her land (i.e. define the decision variables, objective function, constraints).

b. Formulate this same linear programming problem on a spreadsheet and SOLVE using Excel solver (Provide a printout of the corresponding “Excel Spreadsheet” and the “Answer Report”). Include “managerial statements” that communicate the results of the analyses.

When a truckload of apples arrives at a packing​ plant, a random sample of 175 is selected and examined for​ bruises, discoloration, and other defects. The whole truckload will be rejected if more than 6​% of the sample is unsatisfactory. Suppose that in fact 10% of the apples on the truck do not meet the desired standard. What is the probability that the shipment will be accepted​ anyway?

​P(accepted)=??

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

You are playing blackjack at a casino and have a hand with a total of 19. You decide to stay. The dealer flips over their facedown card to reveal a total of 16. What is the probability that you win? Assume you are playing with an infinite deck.

A.8/13

B.9/13

C.10/13

D.11/13

Explain the advantages and disadvantages of bar charts and pie charts. Include discussion of the type of data that is best suited for each and justify why this is the best form of data for bar and pie charts by providing specific examples.

Suppose that National Motors randomly selects a sample of n = 91 ZX-900s. The company records the stopping distance of each of these automobiles and calculates the mean and standard deviation of the sample of n = 81 stopping distances to be ȳ = 57.8feet and s = 6.02feet.

1. Conduct hypothesis test

H0 :μ=60, Ha :μ<60.

Set α = 0.5. And calculate the p-value.

The ages of commercial aircraft are normally distributed with a mean of 13.013.0 years and a standard deviation of 8.11428.1142 years. What percentage of individual aircraft have ages between 1010 years and 1616 ​years? Assume that a random sample of 8181 aircraft is selected and the mean age of the sample is computed. What percentage of sample means have ages between 1010 years and 1616 ​years?

Situation B: An independently selected sample of five men also participated in the same study. The table below shows results for the number of pounds lost by the five men and five women in the study. The researcher will use the .01 significance level to test whether (on average) the program produces different weight-loss results for men and women. You may assume that the population variances are equal (although the sample variances are not).

***Weight-loss is in pounds***

Men (sample 1): sample size- 5, sample mean- 19.2, standard dev.- 4.970

Women (sample 2): sample size- 5, sample mean- 12.6, standard dev.- 4.336

1) Choose the appropriate formula for the test statistic and find its value.

Using the “Z” table, indicate the values of Z₁ and Z₂associated with a 95% area under the normal distribution:

What percentage of Average Total Payments is less than $7,000?

What percentage of Average Total Payments should be less than $7,000 based upon the mean and standard deviation?

What percentage of Average Total Payments is less than $10,000?

What percentage of Average Total Payments should be less than $10,000 based upon the mean and standard deviation?

Please show how the answer was calculated.

Consider a 9 × 9 Sudoku, where each number appears exactly once in each row and
exactly once in each column. Assume that a list of numbers already appear in some
cells are given.
(a) (20pts) Write an optimization model for Sudoku.
(b) (10pts) Create your own initial list of numbers (1 through 9) which appear in
some cells of the table and use this as your input data to solve the optimization
problem in Part (a) using an optimization solver.

Using the Standard Normal Table. What is the probability a z-score is between -1.11 and 0.91?

In other words, what is P( -1.11 < z < 0.91)?

Use the graphical method for linear programming to find the optimal solution for the following problem.

Maximize P = 4x + 5 y

subject to 2x + 4y ≤ 12

                5x + 2y ≤ 10

and      x ≥ 0, y ≥ 0.

graph the feasible region

Jerome is creating a secret passcode for his vault. The vault uses some of the Greek alphabet –possible choices are (?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?}, and can also use odd digits (1, 3, 5, 7, 9). The code will be of length 10 and selected randomly from the possible Greek letters or Roman Numerals mentioned above. a) How many possible secret passcodes can be formed of length 10? b) What is the probability that a randomly selected passcode contains only Greek letters and no numbers? c) What is the probability that the first and last position of a randomly selected passcode contains odd numbers? d) What is the probability that a randomly selected code has no repeats? e) Given that a randomly selected passcode contains only Greek letters, what is the probability that it starts and ends with the letter ??