Question

Question 3: Solve all of the above

Note: Absloute answers with 4 digits ex: 1.1234

A) A statistician is trying to estimate the average number of members per household in a given city. He selected a random neighborhood in the city with 45 households and found that the sample average equals to 4 members. Assuming that the standard deviation is known to be 1.3 members from previous years’ published statistics, what is the upper limit of a 90% one sided confidence interval constructed to estimate the mean of number of members per household in the city?

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B) Find the probability that X<5.32 given that X is Normally Distributed with mean = 10 and standard deviation = 3?

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C) Find the probability for Z<-1.34 given that Z is Standard Normal Distribution?

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D) A health organization is responding to the high demand of masks as a result of COVID-19 outbreak by operating a workshop to produce simple surgery masks. The daily production average and standard deviation were respectively calculated as 4,564 and 412 masks based on the last 9-days records. What is the upper limit of a 95% one sided confidence interval constructed to estimate the mean value of the daily production capacity in that workshop?

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Answer 1