Reference no: EM13105147
Please show all work.
1. Suppose the salary of assembly line workers has Normal distribution with mean of $20,000, and standard deviation of $3,000.
a) What is the probability that a randomly selected assembly line worker earns more than $22,000?
b) What is the probability that the average salary of 5 assembly line workers is higher than $22,000?
c) What is the probability that the average salary of 15 assembly line workers is higher than $22,000?
2. Our client asked us to compute a 97% confidence interval for the time it takes to build a house in Kamloops. There are 32 observations in our sample. The sample mean is 60 days.
a) What is the 99% confidence interval, if the population standard deviation is known to be 10 days?
b) What is the 99% confidence interval, if the sample standard deviation is 10 days
c) Find the 80% confidence interval, if the population standard deviation is known to be 10 days.
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: Suppose the salary of assembly line workers has Normal distribution with mean of $20,000, and standard deviation of $3,000.
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