A manufacturer claims that the mean lifetime,M , of its light bulbs is 51 months. The standard deviation of these lifetimes is 9 months. Ninety bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
The null hypothesis is:
The alternative hypothesis is:
The type of test statistic is : Z. t , Chi Square or f
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 51 months? yes or no