The z-test 10.1 Assume that a treatment does have an effect and that the treatment effect is being evaluated with a z hypothesis test. If all factors are held constant, how is the outcome of the hypothesis test influenced by sample size? To answer this question, do the following two tests and compare the results. For both tests, a sample is selected from a normal population distribution with a mean of u = 32 and %3D a standard deviation of o = 11. After the treatment is administered to the individuals in the sample, the sample mean is found to be M = 35. In each case, use a two-tailed test with a = .05. For the first test, assume that the sample consists of n = 16 individuals. For the second test, assume that the sample consists of n = 64 individuals. Explain in your own words how the outcome of the hypothesis test is influenced by the sample size. а. b. с. (Note: Be sure and show a full diggram of the research design. Also show all steps and

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The z-test
Assume that a treatment does have an effect and that the treatment effect is being
evaluated with a z hypothesis test. If all factors are held constant, how is the
outcome of the hypothesis test influenced by sample size? To answer this
question, do the following two tests and compare the results. For both tests, a
sample is selected from a normal population distribution with a mean of u = 32 and
a standard deviation of o = 11. After the treatment is administered to the
individuals in the sample, the sample mean is found to be M = 35. In each case, use
10.1
a two-tailed test with a = .05.
For the first test, assume that the sample consists of n = 16 individuals.
For the second test, assume that the sample consists of n = 64 individuals.
Explain in your own words how the outcome of the hypothesis test is
influenced by the sample size.
а.
b.
с.
(Note: Be sure and show a full diagram of the research design. Also show all steps and
calculations you made for each test following the process outlined in the z-test formula
sheet handout. What statistical decision do you make in each case? Finally report your
Transcribed Image Text:The z-test Assume that a treatment does have an effect and that the treatment effect is being evaluated with a z hypothesis test. If all factors are held constant, how is the outcome of the hypothesis test influenced by sample size? To answer this question, do the following two tests and compare the results. For both tests, a sample is selected from a normal population distribution with a mean of u = 32 and a standard deviation of o = 11. After the treatment is administered to the individuals in the sample, the sample mean is found to be M = 35. In each case, use 10.1 a two-tailed test with a = .05. For the first test, assume that the sample consists of n = 16 individuals. For the second test, assume that the sample consists of n = 64 individuals. Explain in your own words how the outcome of the hypothesis test is influenced by the sample size. а. b. с. (Note: Be sure and show a full diagram of the research design. Also show all steps and calculations you made for each test following the process outlined in the z-test formula sheet handout. What statistical decision do you make in each case? Finally report your
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