Potatoes - Samples: Suppose the weights of
Farmer Carl's potatoes are normally distributed with a mean of 8.0
ounces and a standard deviation of 1.3 ounces.
Suppose Carl bags his potatoes in randomly selected groups of 6.
What percentage of these bags should have a mean potato weight
between 7.5 and 8.5 ounces? Enter your answer as a
percentage rounded to one decimal place.
%
In: Statistics and Probability
The speeds of car traveling on Interstate Highway I-35
are normally distributed with a mean of 74
miles per hour and a standard deviation of 6 miles per hour.
(a) Find the percentage of the cars traveling on this highway with
a speed
i. of more than 85,
ii. between 65 to 72.
(b) If a BMW is at the speed that is faster than 90 percentage of
cars, what is the speed of the
BMW?
In: Statistics and Probability
Find the margin of error and 95% confidence interval for the following surveys. Round all answers to 2 decimal places.
a) A survey of 500 people finds that 45% plan to vote for Smith for governor. Margin of Error (as a percentage): Confidence Interval: % to %
b) A survey of 1500 people finds that 61% support stricter penalties for child abuse.
Margin of Error (as a percentage):
Confidence Interval: % to % License
In: Statistics and Probability
The ages of commercial aircraft are normally distributed with a mean of 13.013.0 years and a standard deviation of 8.11428.1142 years. What percentage of individual aircraft have ages between 1010 years and 1616 years? Assume that a random sample of 8181 aircraft is selected and the mean age of the sample is computed. What percentage of sample means have ages between 1010 years and 1616 years?
In: Math
1). A solution contains 0.0490 M Ca2+ and 0.0980 M Ag+. If solid Na3PO4 is added to this mixture, which of the phosphate species would precipitate out of solution first? (which one?)
(a). Ca3(PO4)2
(b). Ag3PO4
(c). Na3PO4
2). When the second cation just starts to precipitate, what percentage of the first cation remains in solution?
percentage = ?%
In: Chemistry
Consider the following bonds:
|
Bond |
Coupon Rate (annual payments) |
Maturity (years) |
|
A |
0.00.0% |
1515 |
|
B |
0.00.0% |
1010 |
|
C |
4.24.2% |
1515 |
|
D |
7.77.7% |
1010 |
What is the percentage change in the price of each bond if its yield to maturity falls from
6.8 %6.8%
to
5.8 %5.8%?
The percentage change in the price of bond A is
nothing%.
(Round to one decimal place.)
In: Finance
The ages of commercial aircraft are normally distributed with a mean of 13.5 years and a standard deviation of 8.2933 years. What percentage of individual aircraft have ages between 10 years and 16 years? Assume that a random sample of 81 aircraft is selected and the mean age of the sample is computed. What percentage of sample means have ages between 10 years and 16 years?
In: Math
suppose you took out a fully amortized $30,000 automobile loan to finance your purchase over 48 months at an APR of 3.5%. So far, you have made two years of payments in a timely fashion so the next payment will be your 25th. what percentage of the next payment will be allocated toward reducing the outstanding balance on the loan and what percentage will be interest?
In: Finance
Consider the following stock price and shares outstanding information.
| DECEMBER 31, Year 1 | DECEMBER 31, Year 2 | |||||||
Price | Shares Outstanding | Price | Shares Outstanding | |||||
| Stock K | $18 | 109,000,000 | $33 | 109,000,000 | ||||
| Stock M | 74 | 2,300,000 | 49 | 4,600,000a | ||||
| Stock R | 35 | 26,000,000 | 39 | 26,000,000 | ||||
| aStock split two-for-one during the year. | ||||||||
Compute the beginning and ending values for a price-weighted index and a market-value-weighted index. Assume a base value of 100 and Year 1 as the base period. Do not round intermediate calculations. Round your answers to two decimal places.
PWIYear 1:
PWIYear 2:
VWIYear 1:
VWIYear 2:
Compute the percentage change in the value of each index during the year. Do not round intermediate calculations. Round your answers to two decimal places.
Percentage change in PWI: %
Percentage change in VWI: %
Compute the percentage change for an unweighted index assuming $1,000 is invested in each stock. Do not round intermediate calculations. Round your answer to two decimal places.
%
In: Finance


Both Bond A and Bond B have 7.8 percent coupons and are priced at par value. Bond A has 9 years to maturity, while Bond B has 16 years to maturity.
a. If interest rates suddenly rise by 2.2 percent, what is the percentage change in price of Bond A and Bond B?
Bond A = _______ %
Bond B = _______ %
b. If interest rates suddenly fall by 2.2 percent instead, what would be the percentage change in price of Bond A and Bond B? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
Bond A = _______ %
Bond B = _______ %
Bond J has a coupon of 7.4 percent. Bond K has a coupon of 11.4 percent. Both bonds have 12 years to maturity and have a YTM of 7.8 percent.
a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds?
Bond J = _______ %
Bond K = _______ %
b. If interest rates suddenly fall by 2 percent, what is the percentage price change of these bonds?
Bond J = _______ %
Bond K = _______ %
In: Finance