Question

Asked Nov 27, 2019

4 views

Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 16.2 years and a standard deviation of 1 years.

Find the probability that a randomly selected quartz time piece will have a replacement time less than 13.8 years?*P*(*X* < 13.8 years) = __________

Enter your answer accurate to 4 decimal places. Answers obtained using exact *z*-scores or *z*-scores rounded to 3 decimal places are accepted.

If the company wants to provide a warranty so that only 2.5% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty?

warranty = ________ years

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact *z*-scores or *z*-scores rounded to 3 decimal places are accepted.

1 Rating

Step 1

The probability that a randomly selected quartz time piece will have a replacement time less than 13.8 years is,

Step 2

Thus, the probability that a randomly selected quartz time piece will have a replacement time less than 13.8 years is 0.0082.

Before calculating the time length of the warranty, find the *Z*-score corresponding to 2.5% or 0.025 calculated using Excel is shown below:

Step 3

Thus, the *Z*-score corresponding to 2.5% is -1.96,

The time leng...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: A manager at ACME Equipment Sale and Rental wondered how offering a free two-year service warranty o...

A: From the given information, it can be observed thatThe both samples are selected using simple random...

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a s...

A: Consider that X is a random variable defined as the overhead reach distance of adult.

Q: find the mean, variance, and standard deviation Twenty-one percent of U.S. employees who are late ...

A: The value of mean is 0.84, which is obtained as follows:

Q: A study of bone density on 5 random women at a hospital produced the following results. A...

A: Step-by-step procedure to obtain the correlation coefficient using Excel-Mega Stat is given below:En...

Q: The number of calories consumed per day for a child is normally distributed with a mean of 1544 and ...

A: The number of calories consumed per day for a child is normally distributed with a mean of 1544 and ...

Q: Do males and females differ in the amount of time they talk on the phone? A study reported that wome...

A: a. The null and the alternative hypotheses for the given scenario are given below:

Q: The null and alternate hypotheses are: H0 : μ1 = μ2H1 : μ1 ≠ μ2 A random sample of 12 observations f...

A: Hypotheses for the test is given below:

Q: 6

A: 6.It is given that there are two bulbs in a box.Let X1 is the variable denotes the life time of firs...

Q: Mon 6.42 PM Safari File Edit View History Bookmarks Window Help www-awn.connectmath.com KY Find the ...

A: The provided probability for a z-score is 0.6988. It is clear from the provided graph that the provi...