BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of 3000 houdoubt this claim and decide to do a statistical test of the claim. We choose a randor.Suppose that we have reason tomple of light bulbs manufacturedby BIG and find that the mean lifetime for this sample is 2860 hours and that the samnle standard deviation of thelifetimes is 600 hours.Based on this information, answer the questions below.test?What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used fcH,: µ is ?H,: µ is ?In the context of this test, what is a Type I error?v the hypothesis that p is ?v ?v when, inA Type I error is ?v ?fact, u is ?Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?>>2'

Name: BIG Corporation advertises that its light bulbs have a mean lifetime,
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Description: BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of 3000 houdoubt this claim and decide to do a statistical test of the claim. We choose a randor.Suppose that we have reason tomple of light bulbs manufacturedby BIG and find t

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BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of 3000 hou
doubt this claim and decide to do a statistical test of the claim. We choose a randor.
Suppose that we have reason to
mple of light bulbs manufactured
by BIG and find that the mean lifetime for this sample is 2860 hours and that the samnle standard deviation of the
lifetimes is 600 hours.
Based on this information, answer the questions below.
test?
What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used fc
H,: µ is ?
H,: µ is ?
In the context of this test, what is a Type I error?
v the hypothesis that p is ?
v ?
v when, in
A Type I error is ?
v ?
fact, u is ?
Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?
>>
2'

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Step 1

Given Information :

BIG corporation advertises that its light bulbs have a mean lifetime , mu of 3000 hour . Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim . We choose a random sample of ligh bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours and that the sample standard deviation of the lifetimes is 600 hours .

Provided :

$\bar{x} = 2860 h r s s = 600 h r s H y p o t h e s i z e s m e a n : μ_{0} = 3000 h r s$

State the hypothesis :

H₀ : Light bulbs have a mean lifetime of 3000 hour .

$μ$ = 3000

H₁ : Light bulbs does have a mean lifetime of 3000 hour .

$μ$ $\neq$ 3000

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