s Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that u is different from 3200 irs and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this hple is 3000 hours and that the sample standard deviation of the lifetimes is 600 hours. ed on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? Ho :0 OSO H :0 D=0 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) ▼ (c) Suppose the true mean lifetime of BIG's light bulbs is 2980 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) v the hypothesis that u is (Choose one) less than less than or equal to greater than greater than or equal to not equal to (Choose one) v when, in fact, µµ is (Choose one)
s Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that u is different from 3200 irs and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this hple is 3000 hours and that the sample standard deviation of the lifetimes is 600 hours. ed on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? Ho :0 OSO H :0 D=0 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) ▼ (c) Suppose the true mean lifetime of BIG's light bulbs is 2980 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) v the hypothesis that u is (Choose one) less than less than or equal to greater than greater than or equal to not equal to (Choose one) v when, in fact, µµ is (Choose one)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that µu is different from 3200
hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this
sample is 3000 hours and that the sample standard deviation of the lifetimes is 600 hours.
Based on this information, complete the parts below.
(a)
What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test?
H, :0
O<O
OSO
H :0
O=0
(b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making?
(Choose one) ▼
(c)
Suppose the true mean lifetime of BIG's light bulbs is 2980 hours. Fill in the blanks to describe a Type II error.
A Type II error would be (Choose one)
the hypothesis that u is (Choose one)
(Choose one) v when, in fact, u is (Choose one)
less than
less than or equal to
greater than
greater than or equal to
not equal to
equal to
Ix
Transcribed Image Text:1
) Suppose the true mear
A Type II error would
(Choose one)
3200
600
3000
Suppose that we
wh
|(Choose one)
Type I
SType II
che equal to 600
equal to 3000
lifetime of BIG's light
prt of
equal to 3200
e (Choose one)
not equal to 3200
BIG
less than 600
purs. n,
rejecting
that |
failing to reject
one greater than 3000
u is (Choose one)
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