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The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with a = 8. A random sample of 92 matchboxes shows the average number of matches p box to be 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) State the null and alternate hypotheses. O Ho: H=40; H₁: μ< 40 O Ho: H> 40; H₁: μ = 40 Ho: H=40; H₁: μ> 40 ⒸH₁: μ = 40; H₁: μ # 40 (b) What is the value of the sample test statistic? O2.64 O 1.14 O-1.14 O-2.64 (c) Find (or estimate) the P-value. O P-value > 0.050 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 OP-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail reject the null hypothesis? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box. O At the α = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box. O At the a= 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box.

The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with a = 8. A random sample of 92 matchboxes shows the average number of matches p box to be 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) State the null and alternate hypotheses. O Ho: H=40; H₁: μ< 40 O Ho: H> 40; H₁: μ = 40 Ho: H=40; H₁: μ> 40 ⒸH₁: μ = 40; H₁: μ # 40 (b) What is the value of the sample test statistic? O2.64 O 1.14 O-1.14 O-2.64 (c) Find (or estimate) the P-value. O P-value > 0.050 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 OP-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail reject the null hypothesis? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box. O At the α = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box. O At the a= 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box.

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
Problem 8CR
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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 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) State the null and alternate hypotheses. O Ho: M = 40; H₁: μ< 40 O Ho: M > 40; H₁: μ = 40 ⒸHO: H=40; H₁: μ > 40 O Ho: M = 40; H₁: μ ‡ 40 (b) What is the value of the sample test statistic? O 2.64 O 1.14 O -1.14 O -2.64 (c) Find (or estimate) the P-value. OP-value > 0.050 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 OP-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O At the α = 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box. O At the α = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box. O At the α = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box. O At the α = 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box.
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 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) State the null and alternate hypotheses. O Ho: M = 40; H₁: μ< 40 O Ho: M > 40; H₁: μ = 40 ⒸHO: H=40; H₁: μ > 40 O Ho: M = 40; H₁: μ ‡ 40 (b) What is the value of the sample test statistic? O 2.64 O 1.14 O -1.14 O -2.64 (c) Find (or estimate) the P-value. OP-value > 0.050 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 OP-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O At the α = 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box. O At the α = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box. O At the α = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box. O At the α = 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box.
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