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 perbox 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< 40O Ho: M > 40; H₁: μ = 40ⒸHO: H=40; H₁: μ > 40O Ho: M = 40; H₁: μ ‡ 40(b) What is the value of the sample test statistic?O 2.64O 1.14O -1.14O -2.64(c) Find (or estimate) the P-value.OP-value > 0.050O 0.025 < P-value < 0.050O 0.005 < P-value < 0.025OP-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.

given data claim : μ > 40x¯ = 42.20σ = 8n = 92α = 0.01

Answered: The Nero Match Company sells matchboxes…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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