Question Help 9-2.2.15-T The number of times a machine broke down each week was

Question

Question Help 9-2.2.15-T The number of times a machine broke down each week was observed over a period of 100 weeks and recorded as shown in the table below. Complete parts a and b below. Number of Breakdowns Number of weeks 4 5 or More 10 26 32 21 5 a. Using ? = 0.10, perform a chi-square test to determine if the population distribution of breakdowns follows the Poisson probability distribution. What is the null hypothesis, Ho? A. The distribution of breakdowns follows the Poisson probability distribution O B. The distribution of breakdowns follows a uniform probability distribution ?. The distribution of breakdowns follows the normal probability distribution. O D. The distribution of breakdowns differs from the expected distribution. What is the alternate hypothesis, H,? A. The distribution of breakdowns differs from the claimed or expected distribution. O B. The distribution of breakdowns follows a uniform probability distribution. O C. The distribution of breakdowns follows the normal probability distribution. D. The distribution of breakdowns follows the Poisson probability distribution. Determine the estimated mean of the frequency distribution. The average number of breakdowns per week over this period is Type an integer or a decimal.)

Explanation / Answer

avg number o f breakdowns per weak =

sum(X*P(X))

= 0*0.1 + 1*0.26 + 2*0.32 + 3*0.21 + 4*0.05 + 5*0.06

= 2.03

X 0 1 2 3 4 5 frequency 10 26 32 21 5 6 p(X) 0.1 0.26 0.32 0.21 0.05 0.06

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