The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o= 10. 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 pe 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: p- 40; H:p> 40 O Ho: p- 40; H: p< 40 O Ho: u- 40; Hiu< 40 O Ho: p = 40; H: p+ 40 O Ho: u- 40; H:u> 40 O Ho: u 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 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 a. O The standard normal, 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 Pvalue > 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
The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o= 10. 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 pe 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: p- 40; H:p> 40 O Ho: p- 40; H: p< 40 O Ho: u- 40; Hiu< 40 O Ho: p = 40; H: p+ 40 O Ho: u- 40; H:u> 40 O Ho: u 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 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 a. O The standard normal, 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 Pvalue > 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o = 10. 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 proportion
O single mean
(a) What is the level of significance?
State the null and alternate hypotheses.
O Họ: p = 40; H1: p > 40
O Ho: p = 40; H: p < 40
Ο Ho: μ -40; H1: μ < 40
O Họ: p = 40; H: p + 40
Ο Hρ: μ - 40; H1: μ > 40
Ο 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 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.
O The standard normal, 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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