A manufacturer claims that the mean lifetime,  μ , of its light bulbs is  44  months. The standard deviation of these lifetimes is  4  months. Thirty-five bulbs are selected at random, and their mean lifetime is found to be  43  months. Assume that the population is normally distributed. Can we conclude, at the  0.05  level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from  44  months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic: (Round to at least three decimal places.)   The p-value: (Round to at least three decimal places.)   Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 44 months?   Yes     No

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A manufacturer claims that the mean lifetime, 
μ
, of its light bulbs is 
44
 months. The standard deviation of these lifetimes is 
4
 months. Thirty-five bulbs are selected at random, and their mean lifetime is found to be 
43
 months. Assume that the population is normally distributed. Can we conclude, at the 
0.05
 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 
44
 months?

Perform a two-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The p-value:
(Round to at least three decimal places.)
 
Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 44 months?
 
Yes
 
 
No
 
 
 
 
 
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