Question

A manufacturer knows that their items have a normally distributed length, with a mean of 17.4...

A manufacturer knows that their items have a normally distributed length, with a mean of 17.4 inches, and standard deviation of 2.4 inches.

If one item is chosen at random, what is the probability that it is less than 15.7 inches long?
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

Given that ,

= 17.4

= 2.4

A sample of size n = 1 is taken from this population.

Let be the mean of sample.

The sampling distribution of the is approximately normal with

Mean = = 17.4

SD =   =  2.4/​1  = 2.4

Find P( < 15.7 )

= P[( - )/ < (15.7 - 17.4)/2.4]

= P[Z < -0.708]

= 0.2395 ........ using z-table

P( < 15.7 ) = 0.2395

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9...
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9 inches, and standard deviation of 1.1 inches. If one item is chosen at random, what is the probability that it is less than 14.9 inches long? 2.)A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5 years, and standard deviation of 1.1 years. If you randomly purchase one item, what is the probability it will last longer than...
A manufacturer knows that their items have a normally distributed length, with a mean of 19.3...
A manufacturer knows that their items have a normally distributed length, with a mean of 19.3 inches, and standard deviation of 3.8 inches. If one item is chosen at random, what is the probability that it is less than 27.3 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 9.1...
A manufacturer knows that their items have a normally distributed length, with a mean of 9.1 inches, and standard deviation of 1.4 inches. If one item is chosen at random, what is the probability that it is less than 8.5 inches long?
A. A manufacturer knows that their items have a normally distributed length, with a mean of...
A. A manufacturer knows that their items have a normally distributed length, with a mean of 11.7 inches, and standard deviation of 1.4 inches. If one item is chosen at random, what is the probability that it is less than 9 inches long? B. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.6 years, and standard deviation of 2.6 years. If you randomly purchase one item, what is the probability it will last...
Part 1 A manufacturer knows that their items have a normally distributed length, with a mean...
Part 1 A manufacturer knows that their items have a normally distributed length, with a mean of 17.3 inches, and standard deviation of 4.3 inches. If one item is chosen at random, what is the probability that it is less than 26.5 inches long? Part 2 A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.2 years, and standard deviation of 0.9 years. If you randomly purchase one item, what is the probability it...
A manufacturer knows that their items have a normally distributed length, with a mean of 20...
A manufacturer knows that their items have a normally distributed length, with a mean of 20 inches, and standard deviation of 5 inches. If one item is chosen at random, what is the probability that it is less than 13.7 inches long? (Give answer to 4 decimal places.)
1. A manufacturer knows that their items have a normally distributed length, with a mean of...
1. A manufacturer knows that their items have a normally distributed length, with a mean of 17.5 inches, and standard deviation of 5.1 inches. If one item is chosen at random, what is the probability that it is less than 14.3 inches long? 2. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6 years, and standard deviation of 0.8 years. If you randomly purchase one item, what is the probability it will last...
A manufacturer knows that their items have a normally distributed length, with a mean of 9.2...
A manufacturer knows that their items have a normally distributed length, with a mean of 9.2 inches, and standard deviation of 2 inches. If 11 items are chosen at random, what is the probability that their mean length is less than 9.9 inches? round to 4 decimal places. & A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.2 years, and standard deviation of 2.4 years. If you randomly purchase 11 items, what is...
A manufacturer knows that their items have a normally distributed length, with a mean of 12.2...
A manufacturer knows that their items have a normally distributed length, with a mean of 12.2 inches, and standard deviation of 3.7 inches. If 7 items are chosen at random, what is the probability that their mean length is less than 13.5 inches?
A manufacturer knows that their items have a normally distributed length, with a mean of 11...
A manufacturer knows that their items have a normally distributed length, with a mean of 11 inches, and standard deviation of 2.2 inches. If 23 items are chosen at random, what is the probability that their mean length is less than 11 inches?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT