Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300. mg HCN per kilogram of air when inhaled. The density of air at 26 ∘C is 0.00118 g/cm3.HCN forms when synthetic fibers containing Orlon^® or Acrilan^® burn. Acrilan^® has an empirical formula of CH2CHCN, so HCN is 50.9% of the formula by mass. A rug in the laboratory measures 12.0× 15.0 ft and contains 30.0 oz of Acrilan^® fibers per square yard of carpet. If the rug burns, what mass of HCN will be generated in the room? Assume that the yield of HCN from the fibers is 20.0%and that the carpet is 38.0 % consumed.​

Q2) QUESTION 2 HAS TWO PARTS a) For a typical nonrenewable resource, would you expect the rate of extraction to increase, be constant, or decrease over time? Why? Explain with graph. b) Following the reasoning of Harold Hotelling, we might expect the real price of nonrenewable resources to increase continually over time, as resource stocks are depleted. But, empirical evidence (as documented by Margaret Slade) for a number of nonrenewable (mineral) resources indicates that their prices over the past century have not been increasing monotonically; instead, the price paths of a number of nonrenewable resources have been "U-shaped." Explain what's going on; i.e. resolve this apparent anomaly between theory and observation.

1. Experience and formal educations were often used as a proxy for (entrepreneurial) ability. Briefly discuss the advantages and disadvantages of using each of them. How does your answer help explain why empirical studies of entrepreneurial choice often include both measures (such as year of schooling and years of work experience)?

2. Briefly discuss how important is strong- vs. weak-tie social capital to the following two startup company: a new restaurant and an e-commerce platform.

3. What is the benefit of forming entrepreneurial teams when starting a company? Is a more diverse team better than a team with similar members for a business venture?

1/ The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 6 ounces.

Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions.

a) 68% of the widget weights lie between  and

b) What percentage of the widget weights lie between 45 and 69 ounces?  %

c) What percentage of the widget weights lie above 51 ?  %

2/ dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 2.9 (to 2 decimal places)

A student is given 3 beakers:

Beaker 1- 50.0 ml of a solution produced by dissolving 6.00 grams of a weak monoprotic acid ,HX, in enough water to produce 1 liter of solution. The empirical formula of HX is CH₂O. The solution contains 3 drops of phenolphthalein.

Beaker 2- A 0.07M solution of the salt NaX. It has a pH of 8.8

Beaker 3 – 50.0 ml of 0.250M KOH

The contents of beaker 3 is added drop-wise to beaker 1 until a pink color appears and remains for 30 seconds. This takes exactly 20.0 ml of the beaker 3 solution. Identify X and calculate the pH of beaker 1 after the addition of the 20 ml.

19) The demand for vegetarian sandwiches each day for eight consecutive days is given below. Find the standard deviation.

                                               16   19   25   24   26   22   44   28

a) 1.49

b) 8.42

c) 31.97

d) 4.8

18) The _______ is the difference between largest and the smallest data values.

a) Median

b) Mean

13) The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $12. What percentage of her phone bills are between $19 and $91? Use the Empirical Rule.

a) 25%

b) 95.45%

c) 99.73 %

d) 15.86%

e) 68.27%

c) Standard deviation

d) Mode

e) Range

The following data represent the serum HDL cholesterol of the 45 patients of a family doctor.

41 62 67 60 54 48 75 69 60 54 43 77 69 60 55 38 58 70 61 56 35 82 65 62 56 44 55 74 64 58 44 85 74 64 57 37 39 72 63 56

(a) Compute the population mean and standard deviation.

(b) Draw a histogram to verify the data is bell-shaped.

(c) Determine the percentage of patients and also the total number of patients that have serum HDL between 40.72 and 83.53 according to the Empirical Rule

Please answer all parts

1. Confidence Interval Given. Assume I created a 95% confidence interval for the mean hours studied for a test based on a random sample of 64 students. The lower bound of this interval was 3.1416 and the upper bound was 18.6282. Assume that when I created this interval I knew the population standard deviation. Keep all decimals in your calculations.

a) Calculate the width of the interval.

(b) Calculate the margin of error for the interval.

(c) Calculate the center of the interval.

(d) What is the sample mean?

(e) What is the z ∗ (or zα/2) used? (

f) Calculate the population standard deviation. [Do not use the Empirical Rule.]

Suppose that the distribution of scores on an exam is mound shaped and approximately symmetric. The exam scores have a mean of 110 and the 16th percentile is 85. (Use the Empirical Rule.)

(a)

What is the 84th percentile?

(b)

What is the approximate value of the standard deviation of exam scores?

(c)

What is the z-score for an exam score of 90?

(d)

What percentile corresponds to an exam score of 160?

%

(e)

Do you think there were many scores below 35? Explain.

Since a score of 35 is  ---Select--- one standard deviation two standard deviations  three standard deviations  below the mean, that corresponds to a percentile of  %. Therefore, there were  ---Select--- many few scores below 35.