The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 62 ounces and a standard deviation of 9 ounces. Use the Empirical Rule, find

a) 68% of the widget weights lie between and

b) What percentage of the widget weights lie between 44 and 71 ounces? %

c) What percentage of the widget weights lie below 89 ? % Suggestion: sketch the distribution in order to answer these questions.

The probability of getting a false-positive result for a single person, was 0.3%.

What would be the new approximate percentage probability of getting at least one false-positive result, if 650 people had been tested, instead of 550?

What would be the new approximate percentage probability of getting at least one false-positive result, if 550 people are still tested, but the probability of getting a false-positive result for a single person was 0.4% instead of 0.3% ?

The specific rotation of optically pure (2S,3S)-tartaric acid is -12°. The optical rotation of an impure sample containing a mixture of enantiomers of this compound was measured to be -9°. In the boxes below, write the percentages of the specified stereoisomers present in the sample. Show your work below.

Percentage of (2S,3S)-tartaric acid?

Percentage of (2R,3R)-tartaric acid?

What is the specific rotation of pure (2S,3R)-tartaric acid? How do you know?  

1)In a distribution of IQ scores, where the mean is 100 and the standard deviation is 15........

-Compute the z score for an IQ of 100

-Compute the z score for an IQ of 107

2)For all US women, assuming a normal distribution - Mean height is 64 inches ; Standard deviation is 2.4 inches

-What percentage of US women are 60 inches or shorter?

-What percentage of US women have a height between 64 and 67 inches?

Green Tree Corporation is paying a dividend of $4 today. It expects dividends to grow at 25 percent for the next three years and to stabilize at 10 percent per year thereafter. If the required rate of return of this corporation is 15 percent, what is the current price of this corporation's stock? What percentage of the current stock price is due to the dividends in the first three years? What percentage of the current stock price is due to the dividends from Year 4 onwards?

True or False: A 10% reduction in price that leads to a 10% increase in the amount purchased indicates a price elasticity of more than 1 (in absolute value).

True

False

True or False: A 10% reduction in price that leads to a 2% increase in total expenditures (or total revenue) indicates a price elasticity of more than 1 (in absolute value).

True

False

If the percentage change in price is less than the resultant percentage change in quantity demanded, demand is   .

4. Utilizing the market for reserves and assuming that initially the federal funds rate is 1 percentage point below the discount rate but 1 percentage point above the interest rate paid on reserves,

a. Show what would happen to the federal funds rate if the FED decreased the discount rate by 0.5 percent

b. Show what would happen to the federal funds rate if the FED increased the interest rate paid on reserves by 0.5 percent

4. Sew What, the best seamstress shop in town, sponsors a 401(k) plan. All the eligibleemployees and their elective deferral percentage are listed below.

Will the company pass the ADP test? If not, what this firm can do to remedy this situation.

Q1;Consider the following markets in the United States: Alarm Clocks, Art Gallery Visits, LED Lights, Inflatable Pools. Which order is most likely ranked from the biggest percentage increase in sales to the biggest percentage decrease in sales due to COVID-19?

Q30:

Consider the following markets in the United States: Cigarette Deliveries, Audiobooks, Pet Sitters, Eyeliner. Which order is most likely ranked from the biggest percentage increase in sales to the biggest percentage decrease in sales due to COVID-19?

Q31:

A price floor set above the equilibrium price will NOT result in a/an

A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 139.2 and modified duration of 11.34 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration—-12.30 years—but considerably higher convexity of 272.9.

a. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Zero-Coupon Bond

Actual Loss %?

Predicted loss %?

Coupon Bond

Actual Loss %?

Predicted Loss %?

b. Suppose the yield to maturity on both bonds decreases to 7%. What will be the actual percentage capital gain on each bond? What percentage capital gain would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Zero-Coupon Bond

Actual gain %?

Predicted gain %?

Coupon Bond

Actual gain %?

Predicted gain %?