Question: Can you please explain this in a way that I can understand (see image).. Thank you in advance ;) A manufacturer claims that the mean

Can you please explain this in a way that I can understand (see image).. Thank you in advance ;)

Can you please explain this in a way that I can understand

A manufacturer claims that the mean lifetime, u, of its light bulbs is 42 months. The standard deviation of these lifetimes is 9 months. Seventeen bulbs are selected at random, and their mean lifetime is found to be 44 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 42 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. (If necessary, consult a list of formulas.) The null hypothesis: H : I O P X S The alternative hypothesis: H, :1 The type of test statistic: (Choose one) v 0=0 050 020 D:0 00 The value of the test statistic: [Round to at least three 0 decimal places.) X ? The two critical values at the 0.01 level of significance: (Round to at least three [ and decimal places.) Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 42 Yes O No months

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