A manufacturer claims that the mean lifetime, µ, of its light bulbs is 50 months. The standard deviation of these lifetimes is 4 months. Forty-five bulbs are selected at random, and their mean lifetime a found to be 51 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 50 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations is 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 ____ 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 50 months? Yes _____ or NO____
A manufacturer claims that the mean lifetime, µ, of its light bulbs is 50 months. The standard deviation of these lifetimes is 4 months. Forty-five bulbs are selected at random, and their mean lifetime a found to be 51 months. Assume that the population is
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations is 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 ____
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 50 months? Yes _____ or NO____
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