M3_IND1. A furniture cabinet maker produces two types of cabinets, Classic and Modern, that house and hide LCD TVs. The resource requirements and profit for the two types of cabinets are shown below.

Resource Requirements and Profitability Model Materials ($/unit) Labor (hrs./unit) Profit ($/unit)

   material($units)    labor(Hours/units)    profits($/units)

Classic 800 12    350

Modern 600    4    250

The firm has a budget of $185,000 to spend on materials. The firm has 2,000 labor hours are available for use. What is the best combination of furniture cabinets to be made? Solve this two decision variable problem using the LP Graphing utility. a) What is the profit (value of the objective function) for the optimal solution? b) How many Classic models should be produced (based on the optimal solution)? c) How many Modern models should be produced (based on the optimal solution)? d) Is the production of 80 Classic models and 160 Modern models feasible (not asking if it is optimal).

In a poll to estimate presidential popularity, each person in a random sample of 1,230 voters was asked to agree with one of the following statements:

1. The president is doing a good job.

2. The president is doing a poor job.

3. I have no opinion.

A total of 675 respondents selected the first statement, indicating they thought the president was doing a good job.

1. Construct a 99% confidence interval for the proportion of respondents who feel the president is doing a good job. (Round your answers to 3 decimal places.)

Based on a smartphone​ survey, assume that 41% of adults with smartphones use them in theaters. In a separate survey of 209 adults with​ smartphones, it is found that 71 use them in theaters. a. If the 41​% rate is​ correct, find the probability of getting 71 or fewer smartphone owners who use them in theaters. b. Is the result of 71 significantly​ low?

Question 2: A club has 20 members. Five are seniors, four are juniors, two are sophomores and nine are freshmen. A. In how many ways can the club select a president, a secretary and a treasurer if every member is eligible for each position and no member can hold two positions? B. In how many ways can the club choose a group of 5 members to attend the annual meeting. C. In how many ways can the club choose a group of 5 members to attend annual meeting if two members must be seniors, and the remaining classes must be represented (one junior, one sophomore, and one freshman)? D. In how many ways can a committee be formed from the group members such that there is a chair and secretary along with 3 other voting members (assume again every member is eligible and the choice is without replacement)?

explain what is variation

Suppose the probability of an IRS audit is 2.9 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

(a) What are the odds that such a taxpayer will be audited? (Round your answers to the nearest whole number.)
  
Odds that a taxpayer will be audited            to

(b) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)
  
Odds against a taxpayer being audited      

a picture of these three.

(a) Circumcentre : Draw perpendicular bisectors of the three sides. The point where they meet is the Circumcentre. (b) Orthocentre : Draw the perpendiculars from the third vertex for each of the three sides. The point where they meet is the Orthocentre. (c) Incentre : Draw angle bisectors for each of the three angles. The point where they meet is the Incentre.

Softsoap is the trade name of Colgate-Palmolive's liquid hand soap and body wash. The company is concerned that the mean weight of their most popular size of Softsoap is not greater than 7.58 ounces. A sample of 16 Softsoap bottles is selected; the sample mean is 7.595 ounces, and the sample standard deviation is 0.025 ounces. Using α = .01, is there evidence that the population mean weight of all Softsoap bottles is significantly greater than 7.58 ounces? Do a complete and appropriate hypothesis test.

Step 1 (Hypotheses)

H₀:   (Click to select)  σ  p  π  n  x-bar  s  μ     (Click to select)  =  ≠  ≤  >  ≥  <    

H_A:   (Click to select)  μ  x-bar  π  p  σ  s  n     (Click to select)  =  ≠  ≤  >  ≥  <    

Step 2 (Decision rule)

Using only the appropriate statistical table in your textbook, the critical value for rejecting H₀ is  (Click to select)  +  -  ±   . (report your answer to 3 decimal places, using conventional rounding rules)

Step 3 (Test statistic)

Using the sample data, the calculated value of the test statistic is  (Click to select)  +  -  ±   . (report your answer to 4 decimal places, using conventional rounding rules)

Step 4 (Evaluate the null hypothesis)

Should the null hypothesis be rejected?   (Click to select)  yes  no   

Step 5 (Practical conclusion)

Should the company conclude that the population mean weight of the Softsoap bottles is significantly greater than 7.58 ounces?   (Click to select)  yes  no   

Using only the appropriate statistical table in your textbook, what is the most accurate statement you can make about the numerical value of the p-value of this hypothesis test?       

Answer:  (provide a one-sentence statement about the p-value)

1. Jade is renovating his bathroom and as part of the renovations a plumber is required to install a new shower. The budget for this part of the renovations is $1000. An industry expert has told Jade that the probability that a randomly selected plumber in Auckland will be able to do the job for $1000 or less is 0.55, and that a list of plumbers located in Auckland is available from the Plumbers, Gasfitters and Drainlayers Board website. There are a very large number of plumbers in Auckland.

(a) Suppose that Jade randomly selects 10 plumbers from the list of Auckland plumbers. What is the probability that exactly 2 plumbers will be able to install the new shower for $1000 or less?Answer this question using the appropriate mathematical formula.

(b) What is the probability that Jade will have to call at least 4 plumbers to find one that can do the job for $1000 or less?
Answer this question using the appropriate mathematical formula.

(c) What is the expected number of calls that Jade will have to make to find a plumber who can do the job for $1000 or less? What is the variance of the number of calls?

(d) Of the plumbers that will install the shower for $1000 or less, the cost of the job (in dollars) has a uniform distribution on the interval (450,1000). What is the expected value and variance for the cost of installing the shower?

(e) Suppose that Jade wants to select a plumber close to where he lives. Within his suburb there are 10 plumbers available and of these, 6 would do the job for $1000 or less. What is the probability that Jade will have to call exactly 4 plumbers before finding one who will do the job for $1000 or less? (i.e. the 4th plumber called will do the job).

Explain the difference between deterministic and statistical models

Mary Jones

    Tarik Mohammed

    Smith, Jim

    Tom O'Brian

    Victor Lindquist

    Chow, Vincent

    Wong, Mary

Some names are in the format ‘First Last’ and others ‘Last, First’. Write a function to extract the full names, in the format ‘Last, First’, of all the individuals whose first name is ‘Mary’.

Imagine that you are conducting an experiment in which each participant is randomly assigned to one and only one level of the independent variable throughout the course of the experiment. Which term below would best describe this experimental design?

A correlational study

A between-groups research design

A within-groups research design

A confounding variable design

According to the Bureau of Transportation​ Statistics, 81.9​% of American Airlines flights were on time in 2017. Assume this percentage still holds true for American Airlines. For the next

44 flights from American​ Airlines, use the normal approximation to the binomial distribution to complete parts a through d.

a.) Determine the probability that fewer than 34 flights will arrive on time.

b.) Determine the probability that exactly 32 flights will arrive on time.

c.) Determine the probability that 25​, 26​, 27​, or 28 flights will arrive on time.

d.) Determine the probability that 28​, 29​, 30​, 31​, or 32 flights will arrive on time.

A pollster surveys people at a boxing match, asking them if they had even struck their spouse. Of the 32 people surveyed, 30 said no and the other 2 did not respond. What type of bias is in this sample?