10. -12 points DevoreStat9 7.E.026. 4 My Notes Ask Your Teacher The superintende

Question

10. -12 points DevoreStat9 7.E.026. 4 My Notes Ask Your Teacher The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for Number of absences 0 1 2 3 45 6 7 8 9 10 Frequency 2 3 8 12 976 011 1 [Hint: The mean and variance of a Poisson variable both equal , so has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement (with probability 1 - a) and solving the resulting inequalities for ] (Round your answers to two decimal places.) 9 Need Help? Tek tos uter

Explanation / Answer

Solution6:

sample mean=654.16

sample sd=162.51

n=44

alpha=1-0.95=0.05

alpha/2=0.05/2=0.025

n-1=44-1=43

t crit for 43 df and 0.025 level of sisgnificance is 2.0167

95% confidence interval is

sample mean-tcrit(samplesd/sqrt(n),sample mean+tcrit(samplesd/sqrt(n)

654.16-2.0167(162.51/sqrt(44),654.16+2.0167(162.51/sqrt(44)

604.75,703.57

Solutiona:

(604.75,703.57)

WE ARE 95% CONFIDENT THAT THIS INTERVAL CONTAINS THE TRUE POPULATION MEAN

Solutionb:

n=(tcri*samplesd/E)^2

=(1.96*162.51/42)^2

=57.51

=58 kitchens

ANSWER:58

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