Question

A lumber company is making boards that are 2923.0 millimeters tall. If the boards are too...

A lumber company is making boards that are 2923.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 16 is made, and it is found that they have a mean of 2919.7 millimeters with a standard deviation of 8.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short?

Homework Answers

Answer #1

Solution :

= 2923.0

= 2919.7

s = 8.0

n = 16

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 2923.0

Ha :     2923.0

Test statistic = t

= ( - ) / s / n

= (2919.7- 2923.0) / 8.0 / 16

= −1.65

Test statistic = t = −1.65

P-value = 0.1197

= 0.05  

P-value ≥

0.1197 ≥ 0.05

Do not reject the null hypothesis .

There is insufficient evidence to suggest that

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A lumber company is making boards that are 2563.02563.0 millimeters tall. If the boards are too...
A lumber company is making boards that are 2563.02563.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 1515 is made, and it is found that they have a mean of 2560.52560.5 millimeters with a standard deviation of 8.08.0. A level of significance of 0.10.1 will be used to determine if the boards are either too long or too short. Assume the population...
A lumber company is making boards that are 2727.0 millimeters tall. If the boards are too...
A lumber company is making boards that are 2727.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 21 boards is made, and it is found that they have a mean of 2725.9 millimeters with a standard deviation of 9.0. Is there evidence at the 0.05 level that the boards are either too long or too short? Assume the population distribution is approximately normal.
A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too...
A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 11 is made, and it is found that they have a mean of 2071.0 millimeters with a standard deviation of 22.0. A level of significance of 0.05 will be used to determine if the doors are either too long or too short. Assume the population...
A lumber company is making boards that are 2578.0 millimeters tall. If the boards are too...
A lumber company is making boards that are 2578.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 20 is made, and it is found that they have a mean of 2580.2 millimeters with a variance of 64.00. A level of significance of 0.1 will be used to determine if the boards are either too long or too short. Assume the population distribution...
A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too...
A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 18 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 21.0. A level of significance of 0.1 will be used to determine if the doors are either too long or too short. Assume the population...
A lumber company is making boards that are 2716.0 millimeters tall. If the boards are too...
A lumber company is making boards that are 2716.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 23 boards is made, and it is found that they have a mean of 2714.9 millimeters with a standard deviation of 12.0. Is there evidence at the 0.1 level that the boards are either too long or too short? Assume the population distribution is approximately normal....
A lumber company is making boards that are 2696 millimeters tall. If the boards are too...
A lumber company is making boards that are 2696 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 49boards is taken, and it is found that they have a mean of 2699.1millimeters. Assume a population variance of 225. Is there evidence at the 0.1 level that the boards are too long and need to be trimmed? Step 1 of 6 : State the null...
A lumber company is making boards that are 2790 millimeters tall. If the boards are too...
A lumber company is making boards that are 2790 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 36 boards is taken, and it is found that they have a mean of 2785.5 millimeters. Assume a population standard deviation of 13. Is there evidence at the 0.1 level that the boards are too short and unusable? Step 4 of 6: Find the P-value of...
A lumber company is making doors that are 2058.02058.0 millimeters tall. If the doors are too...
A lumber company is making doors that are 2058.02058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 77 is made, and it is found that they have a mean of 2046.02046.0 millimeters with a variance of 625.00625.00. A level of significance of 0.10.1 will be used to determine if the doors are either too long or too short. Assume the population distribution...
A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too...
A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 7 is made, and it is found that they have a mean of 2069.0 millimeters with a variance of 900.00 A level of significance of 0.1 will be used to determine if the doors are either too long or too short. Assume the population distribution...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT