The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1 (All units are 1000 cells/muμ L.)

Using the empirical rule, find each approximate percentage below.

a. Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.

(Type an integer or a decimal. Do not round.)

Approximately ____ % of women in this group have platelet counts between 71.3 and 443.9.

(Type an integer or a decimal. Do not round.)

Volusia, Inc. is a U.S.-based exporting firm that expects to receive payments denominated in both euros and Canadian dollars in one month. Based on today's spot rates, the dollar value of the funds to be received is estimated at $500,000 for the euros and $300,000 for the Canadian dollars. Based on data for the last fifty months, Volusia estimates the standard deviation of monthly percentage changes to be 8 percent for the euro and 3 percent for the Canadian dollar. The correlation coefficient between the euro and the Canadian dollar is 0.30. Assuming an expected percentage change of 0 percent for each currency during the next month, what is the maximum one-month loss of the currency portfolio? Use a 95 percent confidence level and assume the monthly percentage changes for each currency are normally distributed

Suppose that unemployed workers find jobs at the rate of 15% per period and the job separation rate for employed workers is 5% per period. Assume the size of the labor force is fi xed at 1000. At period t=0, number of unemployed U0 = 200 and employed E0 = 800. Calculate the following (Round up to ONE decimal place if needed. Enter only numbers) (a) What is the unemployment rate at t=1 in percentage? (b) What is the natural (steady state) unemployment rate in percentage? (c) Starting from the steady state where the unemployment rate is at its natural rate, suppose that suddenly the job finding rate falls to 10% and separation rises to 8%, what will be the unemployment rate of one period after in percentage?

Suppose that unemployed workers find jobs at the rate of 15% per period and the job separation rate for employed workers is 5% per period. Assume the size of the labor force is fi xed at 1000. At period t=0, number of unemployed U0 = 200 and employed E0 = 800. Calculate the following (Round up to ONE decimal place if needed. Enter only numbers) (a) What is the unemployment rate at t=1 in percentage? (b) What is the natural (steady state) unemployment rate in percentage? (c) Starting from the steady state where the unemployment rate is at its natural rate, suppose that suddenly the job finding rate falls to 10% and separation rises to 8%, what will be the unemployment rate of one period after in percentage?

5. Suppose that a car manufacturer claims that its fuel efficiency (as measured in miles per
gallon) per tankful of gasoline follows a normal distribution with mean 35 mpg and
standard deviation 2.0 mpg.
a) What percentage of tankfuls would obtain between 30 and 40 mpg? (A table of
standard normal probabilities appears at the end of this exam.)
b) Would the percentage of tankfuls that obtain between 30 and 40 mpg be larger,
smaller, or the same if the mean were larger than 35 (and the SD remained 2.0)? Explain your
answer.
c) Would the percentage of tankfuls that obtain between 30 and 40 mpg be larger, smaller,
or the same if the SD were larger than 2.0 (and the mean remained 35)? Explain your answer.

An investor purchased the following five bonds. Each bond had a par value of $1,000 and a 8% yield to maturity on the purchase day. Immediately after the investor purchased them, interest rates fell, and each then had a new YTM of 7%. What is the percentage change in price for each bond after the decline in interest rates? Fill in the following table. Enter all amounts as positive numbers. Do not round intermediate calculations. Round your monetary answers to the nearest cent and percentage answers to two decimal places.

Confidence Interval

Parameter: What is the true percentage of all my Facebook Friends who have 3+ tattoos?

Statistic: In a sample statistic of 324 Facebook Friends, 162 of them picked 3+ tattoos. This means my statistic, or sample percentage (­­­­p) was 50%

Margin of Error: zp(1-p)n=

Z=

p (p-hat) =

n =

Confidence Interval:

(My guess was 40%)

Hypothesis Test

Parameter and Hypothesis: What is the true percentage of all my friends who would identify having 3+ tattoos? Hypothesis (po) = 40%

Test Value: z=p-popo(1-po)n

po=

p (p-hat) =

n =

P-Value:

Decision Rule:

An investor purchased the following five bonds. Each bond had a par value of $1,000 and a 9% yield to maturity on the purchase day. Immediately after the investor purchased them, interest rates fell, and each then had a new YTM of 5%. What is the percentage change in price for each bond after the decline in interest rates? Fill in the following table. Enter all amounts as positive numbers. Do not round intermediate calculations. Round your monetary answers to the nearest cent and percentage answers to two decimal places.

Price @ 9% Price @ 5% Percentage Change

10-year, 10% annual coupon

10-year zero

5-year zero

30-year zero

$100 perpetuity

An investor purchased the following five bonds. Each bond had a par value of $1,000 and an 8% yield to maturity on the purchase day. Immediately after the investor purchased them, interest rates fell, and each then had a new YTM of 6%. What is the percentage change in price for each bond after the decline in interest rates? Fill in the following table. Enter all amounts as positive numbers. Do not round intermediate calculations. Round your monetary answers to the nearest cent and percentage answers to two decimal places. Price @ 8% Price @ 6% Percentage Change 10-year, 10% annual coupon $ $ % 10-year zero 5-year zero 30-year zero $100 perpetuity