A genetic experiment with peas resulted in one sample of offspring that consisted of 416 green peas and 154 yellow peas. a. Construct a 90​% confidence interval to estimate of the percentage of yellow peas. b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectationsa.

A.) Construct a 90​% confidence interval.

Express the percentages in decimal form: __< p < ___ (Round to three decimal places as​ needed.)

B.)Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations? ​

Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25% ​

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

A genetic experiment with peas resulted in one sample of offspring that consisted of 404 green peas and 161

yellow peas.

a. Construct a 95​% confidence interval to estimate of the percentage of yellow peas.

b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

a. Construct a 95​% confidence interval. Express the percentages in decimal form.

? < p < ?

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

b. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25%

​No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

A study reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts​ (a) through​ (c) below.

a. What is the probability that the sample will have between 33​% and 43​% of companies in Country A that have three or more female board​ directors?

b. The probability is 70​% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population​ percentage?

c. The probability is 99.7​% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population​ percentage?

The probability is 99.7​% that the sample percentage will be contained above _____ ​% and below _____ ​%.

1. Add a new product: Mac’s juice center, located near the university, serves as a gathering place for the university’s students. It sells orange juice at a contribution of $0.60 per bottle. Mac is considering selling sandwiches. He analyzed the following costs of adding sandwiches:

Mac planned a selling price of $1.20 per sandwich to lure many customers. He thinks atleast 60 extra bottles of orange juice can be sold each day because he has sanwiches available. Assume 30 days in a month.

How many sandwiches should he sell on average each day for it to be worthwhile for Mac to expand into sandwiches?

Assume that your company or agency is concerned about near-term economic conditions and wishes to obtain a qualitative forecast of sales or service in the upcoming quarter. Assume also that you are the market analyst for your company or agency planning to use one or more of the leading economic indicators (LEI) published by the US Department of Commerce to formulate your qualitative forecast. You can Google TheLeading Economic Indicator

All early civilizations – i.e. prehistoric, Near Eastern, Egyptian, Aegean, Greek, and Roman – attempted to represent the human figure within their art. Within this essay, provide a comprehensive analysis of the similarities and differences in the representation of the human form in these early depictions. Address not only the artistic portrayal of the human body, but also how these art forms were significant within the culture in which they were created. Provide specific artwork examples (including identifying data, such as titles or source references) throughout your essay

Tyler and Sherry Hughes, both graduate students, moved into an apartment near the university. Sherry wants to buy renter’s insurance, but Tyler thinks they don’t need it because their furniture isn’t worth much. Sherry points out that, among other things, they have some expensive computer and stereo equipment. To help the Hughes resolve their dilemma, suggest a plan for deciding how much insurance to buy, and give them some ideas for finding a policy.

A buoy bobs up and down, undergo- ing near simple harmonic motion. Which of the following statements are true about the buoy?

(a) The buoyancy force is a maximum when the buoy moves the fastest.
(b) The buoyancy force is always a maximum when the displacement of the buoy from equilibrium is greatest.
(c) The acceleration of the buoy is maximum when it’s speed is zero.
(d) The acceleration of the buoy is zero when it’s speed is zero.
(e) The time it takes the buoy’s velocity to go from a minimum to maximum is the same amount of time it takes it’s acceleration to go from a minimum to a maximum.

1. A group of private investors borrowed $30,053,950million to build 300 new luxury apartments near a large university. The money was borrowed at 5% annual interest, and the loan is to be repaid in equal annual amounts over a 40-year period. Annual operating and maintenance expenses are estimated to be $5,202 per apartment. This expense will be incurred even if an apartment is vacant. The rental fee for each apartment will be $14,241 per year, and the worst case occupancy rate is projected to be 89%. Investigate the sensitivity of annual profit (or loss) to changes in annual operating and maintenance expense.

1. Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.4, on one serving of Dial 911, $0.53. Each serving of Wimpy requires 0.2 pound of beef, 0.2 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires 0.2 pound of beef, 0.35 cup of onions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hot sauce. Today, Kilgore has 15 pounds of beef, 10 cups of onions, 84 ounces of Kilgore’s special sauce, and 55 ounces of hot sauce on hand.

   1. Develop a linear programming model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today. If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
      

      Let	W = number of servings of Wimpy to make
      	D = number of servings of Dial 911 to make

      Max	W	+	D
      s.t.
      	W	+	D			(Beef)
      	W	+	D			(Onions)
      	W	+	D			(Special Sauce)
      	W	+	D			(Hot Sauce)
      			W, D	≥	0

   2. Find an optimal solution. If required, round your answers to two decimal places.
      
      W =________ , D =________ , Profit = ______$  
      
   3. What is the shadow price for special sauce? If required, round your answers to two decimal places.
      
      $ _________
      
   4. Increase the amount of special sauce available by 1 ounce and re-solve. If required, round your answers to two decimal places.
      
      W =______ , D =_________ , Profit = ______$  
      
      Does the solution confirm the answer to part (c)?