The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with ơ = 7. A random sample of 90 matchboxes shows the average number of matches per box to be 42.3. 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 proportion O single mean (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 40; H1: µ < 40 O Ho: p = 40; H1: p < 40 O Ho: H = 40; H1: µ > 40 O Ho: p = 40; H1: p + 40 O Ho: p = 40; H1: p > 40 O Ho: µ = 40; H1: µ # 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 known o. O The standard normal, since we assume that x has a normal distribution with unknown ơ. O The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with unknown o. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005

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The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o = 8. A random sample of 92 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? 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: H = 40; H1: H + 40 O Ho: p = 40; H: p > 40 O Ho: H = 40; H1: µ 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 o. O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic?…

Suppose the true proportion of voters in the county who support a school levy is 0.53. Consider the sampling distribution for the proportion of supporters with sample size n = 101.What is the mean of this distribution? What is the standard error of this distribution?