Nero Hatch Company sells matchboxes that are supposed to have an average sample of 90 matchboxes shows th ficance, can you say t average number matches per box is mere tha What are we testina in this arobiem O inate mean O single proportion (a) What is the level of significance? State the nul and alternate hypotheses. O Hp-40; Hp 40 O Hại 40, H >40 O M 40, 40 O M 40, 40 O Mp-40; >40 O Haip-40; Hp 40 (b) What sampling distribution will you use? what assumptions are you making? O The Students e, since we assume that xhas a normal distribution with unknowne. O The standard normal, since we assume that x has a normal distribution with unknowne O The standard normal, since we assume that x has a normal distribution with known e. O The Student's e, since we assume thatx has a normal distribution with knowna. What is the value of the sample test statistic? (Round your answer to two decimal places.) (e) Find (or estmate) the Pvalue OPvalue> 0.250 O 0.125

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The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with a- 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 407
What are we testing in this problem?
O single mean
O single proportion
(a) What is the level of significance?
O
State the null and alternate hypotheses.
O Ha: p- 4o; H:p 40
O Hạ: - 40; H: > 40
O Hgi - 40; H,: u< 40
O Hg: M- 40; Hi 40
O Hg: p - 40; Hạ: p > 40
O Hạ: 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 nomal distribution with known s.
O The Student's t, since we assume that x has a normal distribution with known a.
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 < Pvalue < 0.250
O 0.050 < Pvalue < 0.125
O 0.025 < P-value < 0.050
O 0.005 < Pvalue < 0.025
O Pvalue < 0.005
Transcribed Image Text:The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with a- 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 407 What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? O State the null and alternate hypotheses. O Ha: p- 4o; H:p 40 O Hạ: - 40; H: > 40 O Hgi - 40; H,: u< 40 O Hg: M- 40; Hi 40 O Hg: p - 40; Hạ: p > 40 O Hạ: 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 nomal distribution with known s. O The Student's t, since we assume that x has a normal distribution with known a. 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 < Pvalue < 0.250 O 0.050 < Pvalue < 0.125 O 0.025 < P-value < 0.050 O 0.005 < Pvalue < 0.025 O Pvalue < 0.005
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