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 O Ho: p = 40; H: p + 40 O Họ: 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? (Round your answer to two decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
O Ho: p = 40; H: p + 40
O Họ: 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? (Round your answer to two decimal places.)
Transcribed Image Text: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 O Ho: p = 40; H: p + 40 O Họ: 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? (Round your answer to two decimal places.)
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