The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with e- 10. A random sample of 90 matchboxes shows the average number of matches per box to be 43.1. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p- 40; H: p 40 O Ho: - 40; Hạ: µ > 40 O Hạ: - 40; H,: µ< 40 O Họ: = 40; Hạ: µ* 40 O Ho: p- 40; Hạip > 40 O Hg: p- 40; H,: p < 40 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since we assume that x has a normal distribution with unknown e. O The standard normal, since we assume that x has a normal distribution with unknown e. O The standard normal, since we assume that x has a normal distribution with known e. O The Student's t, since we assume that x has a normal distribution with known e. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the Pvalue. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < Pvalue <0.125 O 0.025 < P-value < 0.050 O 0.005 < Pvalue <0.025 O P-value < 0.005

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