c. Supposing that σ = .5, determine and interpret the power of the test in (a) for the actual value of μ stated in (b). 39. Reconsider the accompanying sample data on expense ratio (%) for large-cap growth mutual funds first intro- duced in Exercise 1.53. 0.52 1.06 1.26 2.17 1.55 0.99 1.10 1.07 1.81 2.05 0.91 0.79 1.39 0.62 1.52 1.02 1.10 1.78 1.01 1.15 A normal probability plot shows a reasonably linear pattern. a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypotheses using a significance level of .01. b. Referring back to (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that μ = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?

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c. Supposing that σ = .5, determine and interpret the
power of the test in (a) for the actual value of μ
stated in (b).
Transcribed Image Text:c. Supposing that σ = .5, determine and interpret the power of the test in (a) for the actual value of μ stated in (b).
39. Reconsider the accompanying sample data on expense
ratio (%) for large-cap growth mutual funds first intro-
duced in Exercise 1.53.
0.52 1.06 1.26 2.17 1.55 0.99 1.10 1.07 1.81 2.05
0.91 0.79 1.39 0.62 1.52 1.02 1.10 1.78 1.01 1.15
A normal probability plot shows a reasonably linear
pattern.
a. Is there compelling evidence for concluding that the
population mean expense ratio exceeds 1%? Carry out
a test of the relevant hypotheses using a significance
level of .01.
b. Referring back to (a), describe in context type I
and II errors and say which error you might have
made in reaching your conclusion. The source
from which the data was obtained reported that
μ = 1.33 for the population of all 762 such funds.
So did you actually commit an error in reaching
your conclusion?
Transcribed Image Text:39. Reconsider the accompanying sample data on expense ratio (%) for large-cap growth mutual funds first intro- duced in Exercise 1.53. 0.52 1.06 1.26 2.17 1.55 0.99 1.10 1.07 1.81 2.05 0.91 0.79 1.39 0.62 1.52 1.02 1.10 1.78 1.01 1.15 A normal probability plot shows a reasonably linear pattern. a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypotheses using a significance level of .01. b. Referring back to (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that μ = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?
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