Question
The Inconvenient Light Company advertises that, on average, its CFL (Compact Fluorescent Light) bulbs last more...
The Inconvenient Light Company advertises that, on average, its CFL (Compact Fluorescent Light) bulbs last more than 4600 hours. To test this claim using a 2% significance level, a statistician plans to take a random sample of 97 bulbs and measure the amount of time until each bulb fails. The lifetimes of the 97 bulbs in the sample had a mean of 4656 hours and a standard deviation of 490 hours. The value of the test statistic for this sample is
Homework Answers
Answer #1
Solution :
=
4600
= 4656
s = 490
n = 97
This is the right tailed test .
The null and alternative hypothesis is ,
H0 :
= 4600
Ha :
> 4600
Test statistic = t
= (
- 
) / s/ 
n
= (4656 - 4600) /490 /
97
= 1.123
p(Z >1.126 ) = 1-P (Z < 1.126) = 0.1316
P-value = 0.1316
= 0.02
p=0.1316 ≥ 0.02
Fail to reject the null hypothesis
There is not enough evidence to claim that the population mean μ is greater than 4600, at the 0.02 significance level.
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