A sample of 147 values is randomly selected from a population with mean, μ, equal to 48 and standard deviation, σ, equal to 19. (Give your answers correct to one decimal place.)

(a) Determine the interval (smallest value to largest value) within which you would expect 99.7% of such sample means to lie.

(b) What is the amount of deviation from the mean for a sample mean of 45.3?

(c) What is the maximum deviation you have allowed for in your answer to part (a)?

(d) How is this maximum deviation related to the standard error of the mean?

the same as the standard error

2 multiples of the standard error

3 multiples of the standard error

4 multiples of the standard error

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