Question

In: Statistics and Probability

The length of time before roof tiles need replacing has a mean of 20 years and...

The length of time before roof tiles need replacing has a mean of 20 years and a standard deviation of 6 years. The length of time until a roof tile needs replacement is also found to have an approximately normal distribution.

What is the value of the 20th percentile for roof tiles before they need replacing? Give your answer correct to one decimal place only. Show all working. A diagram may also be helpful.

Solutions

Expert Solution

please like ??


Related Solutions

A bond has a par value of $1,000, a time to maturity of 20 years, and...
A bond has a par value of $1,000, a time to maturity of 20 years, and a coupon rate of 7.10% with interest paid annually. If the current market price is $710, what will be the approximate capital gain of this bond over the next year if its yield to maturity remains unchanged? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Capital gain ___$
A bond has a par value of $1,000, a time to maturity of 20 years, and...
A bond has a par value of $1,000, a time to maturity of 20 years, and a coupon rate of 7.10% with interest paid annually. If the current market price is $710, what will be the approximate capital gain of this bond over the next year if its yield to maturity remains unchanged? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Capital gain
A research council wants to estimate the mean length of time (in minutes) that the average...
A research council wants to estimate the mean length of time (in minutes) that the average U.S. adult spends watching television using digital video recorders (DVR’s) each day. To determine the estimate, the research council takes random samples of 35 U.S. adults and obtains the following times in minutes. 24 27 26 29 33 21 18 24 23 34 17 15 19 23 25 29 36 19 18 22 16 45 32 12 24 35 14 40 30 19 14...
The American Bar Association reports that the mean length of time for a hearing in juvenile...
The American Bar Association reports that the mean length of time for a hearing in juvenile court is 25 minutes. Assume that this this your population mean. As a lawyer who practices in the juvenile court, you think that the average hearing much shorter than this. You take a sample of 20 other lawyers who do juvenile work and ask them how long their last case in juvenile court was. The mean hearing length for this sample of 20 was...
A research council wants to estimate the mean length of time (in minutes) that the average...
A research council wants to estimate the mean length of time (in minutes) that the average U.S. adult spends watching television using digital video recorders (DVR’s) each day. To determine the estimate, the research council takes random samples of 35 U.S. adults and obtains the following times in minutes. 24 27 26 29 33 21 18 24 23 34 17 15 19 23 25 29 36 19 18 22 16 45 32 12 24 35 14 40 30 19 14...
The length of time a 1999 Honda Civic lasts before needing major repairs is normally distributed...
The length of time a 1999 Honda Civic lasts before needing major repairs is normally distributed with a mean of 7 years and a standard deviation of 1.7 years. a. What is the probability that a randomly selected 1999 Honda Civic lasts between 5.5 and 9 years? b. If Honda Motor Company, Ltd. informed you that your Honda Civic is at 70th percentile, what is your Honda Civic’s years without major repairs? c. A family-owned two Honda Civics. One of...
The average length of time customers spent on waiting at ABC Store’s check-out counter before a...
The average length of time customers spent on waiting at ABC Store’s check-out counter before a new P.O.S. system was installed was 4.3 minutes. A sample of 40 customers randomly selected at the check-out counter after the new P.O.S. system was installed showed that the average waiting time was 3.5 minutes with a sample standard deviation of 2.8 minutes. We wish to determine if the average waiting time after the P.O.S. system was installed is less than 4.3 minutes. 1.   State...
A group of researchers estimates the mean length of time (in minutes) the average U.S. adult...
A group of researchers estimates the mean length of time (in minutes) the average U.S. adult spends watching television using digital recorders and other forms of time-shifted television each day. To do so, the group takes a random sample of 40 U.S. adults and obtains the times (in minutes) listed below. Assume the population standard deviation to be 6.5 minutes. construct a 90% and 99% confidence interval for the population mean. 29, 27, 28, 26, 14,28,32, 12, 16, 21, 17,...
A random survey of 75 death row inmates revealed that the mean length of time on...
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.7 years with a standard deviation of 6.8 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years. 1)Calculate the following. (i) Enter your answer to one decimal place. x = (ii) Enter your answer to one decimal place. s = (iii) Enter your answer as a whole number. n =...
A sample of 83 women found that the mean length of time they spent sleeping daily...
A sample of 83 women found that the mean length of time they spent sleeping daily was 7.0 hours with standard deviation 1.8 hours. An independent sample of 65 men found that the mean length of time they spent sleeping daily was 6.6 hours with standard deviation 1.7 hours. At the 5% level of significance, can we show women sleep more on average than men? (a) Do an appropriate test. State conclusions. (b) Find the p-value of the test.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT