Question

6.20 There is a narrow population of readers who can read 5000 words over a 15-minute span with a standard deviation of 120 words. Over a period of a month, a sample of 50 of these readers is selected and asked to refrain from reading and only watch television. They are then asked to read again over a 15-minute period, and their word count $X$ is recorded. To test $H_0: mu = 5000$ versus $H_1: mu < 5000$ with respect to television conditioning, the critical region $ar{X} < 4970$ is determined. (a) Provide the statistical model stating all assumptions. (b) What is the probability of committing a Type I error? (c) Evaluate the power of the test when $mu = 4960$.

          6.20 There is a narrow population of readers who can read 5000 words over
a 15-minute span with a standard deviation of 120 words. Over a period of a
month, a sample of 50 of these readers is selected and asked to refrain from
reading and only watch television. They are then asked to read again over a
15-minute period, and their word count $X$ is recorded. To test $H_0: mu = 5000$
versus $H_1: mu < 5000$ with respect to television conditioning, the critical
region $ar{X} < 4970$ is determined. (a) Provide the statistical model stating all
assumptions. (b) What is the probability of committing a Type I error? (c)
Evaluate the power of the test when $mu = 4960$.

6.20 There is a narrow population of readers who can read 5000 words over
a 15-minute span with a standard deviation of 120 words. Over a period of a
month, a sample of 50 of these readers is selected and asked to refrain from
reading and only watch television. They are then asked to read again over a
15-minute period, and their word count X is recorded. To test H0: mu = 5000
versus H1: mu < 5000 with respect to television conditioning, the critical
region arX < 4970 is determined. (a) Provide the statistical model stating all
assumptions. (b) What is the probability of committing a Type I error? (c)
Evaluate the power of the test when mu = 4960.

Added by James L.

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