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A sample of 10 observations taken from a normally distributed population produced the following data:

44 31 52 48 46 39 43 36 41 49

(a) Test the hypothesis that H0 : μ = 44 vs. Ha : μ /= 44 using α = 0.10. Draw a box plot and normal plot for this data, and comment.

(b) Find a 90% con?dence interval for the population mean μ.

(c) Discuss the meanings of (a) and (b). What can we conclude?

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