question archive A manufacturer claims that the mean lifetime, , of its light bulbs is months
A manufacturer claims that the mean lifetime, , of its light bulbs is months
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A manufacturer claims that the mean lifetime, , of its light bulbs is
months. The standard deviation of these lifetimes is
months. Twenty-one bulbs are selected at random, and their mean lifetime is found to be
months. Assume that the population is normally distributed. Can we conclude, at the
level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from
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 | |
| the alternative hypothesis | |
| the type of test statistic | |
| the value of the test statistic | |
|
the two critical values at the .1 level of significance (round to at least three decimal places) |
|
| can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 50 months |
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