SOLUTION: Please help me solve this problem: Suppose you are a buyer of large supplies of light bulbs. You want to test, at the 5% significance level, the manufacturer’s claim that his b

Algebra.Com
Question 760349: Please help me solve this problem:
Suppose you are a buyer of large supplies of light bulbs. You want to test, at the 5% significance level, the manufacturer’s claim that his bulb’s last more that 800 hours. You test 36 bulbs and find that the sample mean, is 816 hour and the sample standard deviation s=70 hours. Should you accept the claim?
Thanx

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose you are a buyer of large supplies of light bulbs. You want to test, at the 5% significance level, the manufacturer’s claim that his bulb’s last more that 800 hours. You test 36 bulbs and find that the sample mean, is 816 hour and the sample standard deviation s=70 hours. Should you accept the claim?
---------------------------------
Ho: u <= 800
Ha: u > 800 (claim)
--------------------
Critical Value: 1.645
z(816) = (816-800)/[70/sqrt(36)] = 0.0381
---
Conclusion: Since the test stat is in the reject interval,
reject Ho.
----
Conclusion: The test results fail to support Ho.
Accept the claim.
-----------------
Cheers,
Stan H.
===============================

RELATED QUESTIONS

Can you help me with this? a store manager decides to market 40 combinations of light... (answered by stanbon)
I need help with this problem:

From a box of 10 light bulbs, 4 are to be removed.... (answered by stanbon)


Solving Problems Using Linear Systems 1. Leanne works at a greenhouse. She needs to... (answered by nerdybill,stanbon)
Please help me with this statistical problem. A manufacturer claims that the mean... (answered by stanbon)
You test 100 light bulbs randomly out of a large shipment and find 6 of them to be... (answered by stanbon)
A manufacturer claims that the mean lifetime, M, of its light bulbs is 52 month. The... (answered by stanbon)
A box contains 10 light bulbs, two of which are defective. Three bulbs are selected from... (answered by stanbon)
A random sample of 1000 light bulbs shows that the mean life is 600 hours with a standard (answered by stanbon)
A large lot of light bulbs contains 15% defective. If 9 light bulbs are randomly selected (answered by edjones)