Question

In: Statistics and Probability

7.9 A company is having a new corporate website developed. In the final testing phase the...

7.9 A company is having a new corporate website developed. In the
final testing phase the download time to open the new home
page is recorded for a large number of computers in office and
home settings. The mean download time for the site is
3.61 seconds. Suppose that the download times for the site are
normally distributed with a standard deviation of 0.5 seconds. If
you select a random sample of 30 download times:
a. What is the probability that the sample mean download time
is less than 3.75 seconds?
b. What is the probability that the sample mean is between
3.70 and 3.90 seconds?
c. The probability is 80% that the sample mean is between
which two values symmetrically distributed around the
population mean?
d. The probability is 90% that the sample mean is less than
what value?

Solutions

Expert Solution

(a)

(b)

(c)

(d)


Related Solutions

A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the...
A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 39,531 miles and a standard deviation of 4,075 miles. The company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased do not exceed the mileage stated in the guarantee. What should the guaranteed mileage be if...
Your company is considering a project that would require purchasing 7.9 million worth of new equipment....
Your company is considering a project that would require purchasing 7.9 million worth of new equipment. Determine the present value of the depreciation tax shield associated with this equipment if the firm’s rate is 38%, the appropriate cost of capital is 9%, and the equipment can be depreciated. A. Straight line over a ten year period with the first deduction starting in the new year. The present value of the depreciation tax shield associated with this equipment is $ million...
1) you are testing a new variety of watermelon developed at a research farm. You take...
1) you are testing a new variety of watermelon developed at a research farm. You take a random sample of 16 watermelons from a field. From previous studies the population watermelon weight has been found to be 28.9 lb. The population standard deviation of weight was determined to be 5.6 lb. You can safely assume that the distribution of watermelon weights is close to normal. a) what is the probability that your sample mean is more than 32 lb? b)...
Locate the website of any company that publishes a corporate social responsibility report (may also be...
Locate the website of any company that publishes a corporate social responsibility report (may also be referred to as a sustainability report). Describe three nonfinancial performance measures included in the report. Why do you think the company publishes this report?
5. A company is researching the effectiveness of a new website design to decrease the time...
5. A company is researching the effectiveness of a new website design to decrease the time to access a website. Five website users were randomly selected and their times (in seconds) to access the website with the old and new designs were recorded. The results follow.    Let α = 0.05. Is the mean time to access the new website design shorter, or is (time for the old design - time for the new design) greater than zero? Express your...
A pharmacutical company is testing a new allergy medication. They will consider the drug to be...
A pharmacutical company is testing a new allergy medication. They will consider the drug to be effective if the percentage of patients in the treatment group whose symptoms get better is 15% more than the percentage of patients in the control group whose symptoms get better. For example, if 10% of patients in the control get better, and 30% of patients in the treatment group get better, they will consider the drug to be effective, since 30% - 10% =...
A company manufacturing light bulbs is testing a new model. The company claims that the mean...
A company manufacturing light bulbs is testing a new model. The company claims that the mean life time is less than 1000 hours. A sample of 16 light bulbs are found to have sample mean of 987.5 hours and a sample variance of 400. (a) Test this claim at the significance level α = 0.02. Step 1: Step 2: Step 3: Step 4: Step 5: (b) Is there any assumption needed to solve this question? if yes please state the...
A cosmetic company is interested in testing the effectiveness of a new cream for treating skin...
A cosmetic company is interested in testing the effectiveness of a new cream for treating skin blemishes. It measured the effectiveness of the new cream compared to the leading cream on the market and a placebo. Data below shows the number of blemishes removed after using the cream for 1 week. Assume two-tailed with an α = .05. New Cream Leading Cream Placebo Cream 81 48 18 32 31 49 42 25 33 62 22 19 37 30 24 44...
researchers at a drug company are testing the duration of a new pain reliever. the drug...
researchers at a drug company are testing the duration of a new pain reliever. the drug is normally distributed with a mean durtion of 240 minutes and a standard deviation of 40 minutes the drug is administered to a random sample of 10 people..what is the populatin mean? what is the standard deviation? what is the sample size? can normal approximation be use for this problem? what is the mean of the samle means? what is the standard deviation of...
You work for a pharmaceutical company that has developed a new drug. The patent on the...
You work for a pharmaceutical company that has developed a new drug. The patent on the drug will last for 17 years. You expect that the drug's profits will be 4 million in its first year and that this amount will grow at a rate of 6% per year for the next 16 years. Once the patent expires, other pharmaceutical companies will be able to produce the same drug and competition will likely drive profits to zero. I f the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT