A sample of 900 computer chips revealed that 59% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 62% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is less than the stated percentage. Is there enough evidence at the 0.10 level to support the manager's claim?
Step 2 of 7:
Find the value of the test statistic. Round your answer to two decimal places.
In: Statistics and Probability
A sample of 900 computer chips revealed that 59% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 62% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is less than the stated percentage. Is there enough evidence at the 0.10 level to support the manager's claim?
Step 2 of 7:
Find the value of the test statistic. Round your answer to two decimal places.
In: Statistics and Probability
|
Both Bond Bill and Bond Ted have 11.2 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 4 years to maturity, whereas Bond Ted has 21 years to maturity. Both bonds have a par value of 1,000. |
| a. |
If interest rates suddenly rise by 3 percent, what is the percentage change in the price of these bonds? |
| b. | If rates were to suddenly fall by 3 percent instead, what would be the percentage change in the price of these bonds? |
In: Finance
In a random sample of 257 adult Orcas in the wild, there were 159 whose total body length was 28 feet or longer. Create a 98% confidence interval for the population proportion of adult Orcas in the wild who total body length is 28 feet or longer. Enter the lower and upper bounds for the interval in the following boxes, respectively. You may answer using decimals rounded to four places or a percentage rounded to two. Make sure to use a percent sign if you answer using a percentage.
In: Statistics and Probability
A “quart” of 5W40 motor oil has 950 mL, on average, with a standard deviation of 11 mL. Assuming a normal distribution,
a) What percentage of motor oil falls within 4 standard deviation?
b) How many milliliters of motor oil fall within 6 standard deviation?
c) What percentage of motor oil falls within 3 standard deviation?
d) How many milliliters of motor oil fall within 3 standard deviation?
In: Statistics and Probability
A random sample of 350 voters from Delaware finds that 105 of them intend to vote for Bill McNeely in an upcoming election for Governor. Construct a 96% confidence interval for the population proportion of voters who intend to vote for Bill McNeely. Enter the lower and upper bounds for the interval in the following boxes, respectively. You may answer using decimals rounded to four places or a percentage rounded to two. Make sure to use a percent sign if you answer using a percentage.
In: Statistics and Probability
In a study of the accuracy of fast food drive-through orders, Restaurant A had
335 accurate orders and 53 that were not accurate.
a. Construct a 95% confidence interval estimate of the percentage of orders that are not accurate.
b. Compare the results from part (a) to this 95% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.123<p<0.186. What do you conclude?
a. Construct a 95% confidence interval. Express the percentages in decimal form.
<p<
(Round to three decimal places as needed.)
In: Statistics and Probability
The gross profit margin
a) is a quick and rough estimate of the cash a company's business is generating after payment of operating expenses, interest, and taxes.
b) shows the percentage of after-tax profits paid out as dividends
c) measures the return on total investment in the enterprise
d) indicates the percentage of revenues available to cover operating expenses and yield a profit.
e) shows how much profit is earned on each dollar of sales, before paying interest charges and income taxes.
In: Finance
The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 60
ounces and a standard deviation of 7 ounces.
Use the Standard Deviation Rule, also known as the Empirical
Rule.
Suggestion: sketch the distribution in order to answer these
questions.
a) 95% of the widget weights lie between and
b) What percentage of the widget weights lie between 53 and 74
ounces? %
c) What percentage of the widget weights lie above 39
? %
In: Statistics and Probability
A BBB-rated corporate bond has a yield to maturity of 7.1 %. A U.S. treasury security has a yield to maturity of 5.2 %. These yields are quoted as APRs with semiannual compounding. Both bonds pay semi-annual coupons at a rate of 5.8 % and have five years to maturity.
a. What is the price (expressed as a percentage of the face value) of the treasury bond?
b. What is the price (expressed as a percentage of the face value) of the BBB-rated corporate bond?
c. What is the credit spread on the BBB bonds?
In: Finance