Highlights
QUESTION 1
What is the highest z-value for the lowest 10% of observations on the standard normal distribution?
We know that the length of time it takes a university student to find a parking space in the university car park follows a normal distribution with a mean of 4 minutes and a standard deviation of 1 minute. What is the probability that it will take a randomly selected student 6 or more minutes to find a car park?
The daily sales of a retail store are normally distributed with a mean of $2000 and a standard deviation of $500. What is the highest daily sales for the worst 20% of trading days?
The weight of tomato paste in a 300 grams can is not exactly 300 grams. Suppose the amount the machine puts in these cans follows a normal distribution with mean 306 grams and standard deviation 3 grams.
What is the probability that a randomly selected can is overweight (i.e. more than 300 grams)?
If you select a sample of 9 cans, determine the standard error of the sample mean and construct a range within which the middle 90% of the sample means will lie.
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