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The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o8. A random sample of 94 matchboxes shows the average number of matches per bax to be 42.7. Using a 1% level of significance, can you say that the average number o 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 H H 40; HH< 40 O Hạ: p= 40; H,p> 40 O Hạ: p = 40; H P < 40 O Hgi H= 40; Hu> 40 O Hai p- 40, H:p- 40 O H H 40; H 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 distribubon with unknown O The Student's t. since we assume that x has a normal distribution with unknown a O The standard normal, 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.) () ind (or estimate) the value OPvalus> 0.250 O 0123

The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o8. A random sample of 94 matchboxes shows the average number of matches per bax to be 42.7. Using a 1% level of significance, can you say that the average number o 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 H H 40; HH< 40 O Hạ: p= 40; H,p> 40 O Hạ: p = 40; H P < 40 O Hgi H= 40; Hu> 40 O Hai p- 40, H:p- 40 O H H 40; H 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 distribubon with unknown O The Student's t. since we assume that x has a normal distribution with unknown a O The standard normal, 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.) () ind (or estimate) the value OPvalus> 0.250 O 0123

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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SPS Programs S n Online LoCker: Vitu. B Umitied document 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 94 matchboxes shows the average number of matches per box to be 42.7. 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; H < 40 O Ho: P= 40; H,p> 40 O Hạ: p = 40; H, p< 40 O Hg: - 40; H,:u > 40 O Hoi p- 40; H,:p- 40 O Hoi H 40, H:H- 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 a. 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 unknown d O The standard normal, 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) Pind (or estimate) the pvalue. O Pvalue> 0.250 O 0.125 < P.value 0.25o O0.050 < Pvalue 0.12s O 0.025 < Pvalue <0.05o O 0.005 < Pvalue 0.02s OPvalue<0.005 Sketch the sampling distribuion and show the area coresponding to the Pvalue us 09O 10:22
Transcribed Image Text:SPS Programs S n Online LoCker: Vitu. B Umitied document 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 94 matchboxes shows the average number of matches per box to be 42.7. 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; H < 40 O Ho: P= 40; H,p> 40 O Hạ: p = 40; H, p< 40 O Hg: - 40; H,:u > 40 O Hoi p- 40; H,:p- 40 O Hoi H 40, H:H- 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 a. 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 unknown d O The standard normal, 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) Pind (or estimate) the pvalue. O Pvalue> 0.250 O 0.125 < P.value 0.25o O0.050 < Pvalue 0.12s O 0.025 < Pvalue <0.05o O 0.005 < Pvalue 0.02s OPvalue<0.005 Sketch the sampling distribuion and show the area coresponding to the Pvalue us 09O 10:22
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