# The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with σ = 8. A random sample of 96 matchboxes shows the average number of matches per box to be 42.9. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) What is the level of significance? (b)What is the value of the sample test statistic? (Round your answer to two decimal places.)

Question

The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with σ = 8. A random sample of 96 matchboxes shows the average number of matches per box to be 42.9. Using a 1% level of significance, can you say that the average number of matches per box is more than 40?

(a) What is the level of significance?

(b)What is the value of the sample test statistic? (Round your answer to two decimal places.)

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