In test of a computer component, it is found that the mean between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 8 modified components resulted in the following times (in hours) between failures. Use a 0.05 significance level to test the claim that the mean time between failures is greater than 520 hours. Assume that the population is normally distributed.

518 548 561 523 536
499 538 557 528 563

Determine:
a. Compute the mean and standard deviation of the data.
b. State null and alternative hypotheses. Define the parameter.
c. Show the graph and label the p-value in the graph.
d. Compare the p-value vs. a.
e. State the decision and conclusion.

i assume that by 5 you mean 5 gallons.

(20)(0.25) = 15

removing 15 gallons reduces the tank from 20 to 5.

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

step-by-step explanation:

hiking down a winding trail.

step-by-step explanation: