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
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
MATLAB: An Introduction with Applications
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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 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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