Question

A random sample of 100 recorded deaths in the United States during the past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does this seem to indicate that the average life span today is greater than 70 years? Use a 0.05 level of significance. Test the hypothesis H?: m = 70 years H?: m > 70 years Find P-value of the test. H?: ? = 70 years H?: ? > 70 years a = 0.05 Critical region: z > 1.645, where z = Computations: = 71.8 years, s = 8.9 years, and z = = 2.02 Decision: Reject H? and conclude that the average life span today is greater than 70 years. Using Normal Table, we have P = P (z > 2.02) = 0.0217. As a result, the evidence in favor of H? is even stronger than that suggested by a 0.05 level of significance.

          A random sample of 100 recorded deaths in the United States during the past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does this seem to indicate that the average life span today is greater than 70 years? Use a 0.05 level of significance. Test the hypothesis H?: m = 70 years
H?: m > 70 years

Find P-value of the test.

H?: ? = 70 years
H?: ? > 70 years
a = 0.05
Critical region: z > 1.645, where z =
Computations: = 71.8 years, s = 8.9 years, and z = = 2.02
Decision: Reject H? and conclude that the average life span today is greater than 70 years.
Using Normal Table, we have P = P (z > 2.02) = 0.0217.
As a result, the evidence in favor of H? is even stronger than that suggested by a 0.05 level of significance.

A random sample of 100 recorded deaths in the United States during the past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does this seem to indicate that the average life span today is greater than 70 years? Use a 0.05 level of significance. Test the hypothesis H?: m = 70 years
H?: m > 70 years

Find P-value of the test.

H?: ? = 70 years
H?: ? > 70 years
a = 0.05
Critical region: z > 1.645, where z =
Computations: = 71.8 years, s = 8.9 years, and z = = 2.02
Decision: Reject H? and conclude that the average life span today is greater than 70 years.
Using Normal Table, we have P = P (z > 2.02) = 0.0217.
As a result, the evidence in favor of H? is even stronger than that suggested by a 0.05 level of significance.

Added by James P.

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