To test the effectiveness of a treatment, a sample of N = 36 is selected from a normal population with a mean of μ = 60 and a standard deviation of \sigma = 10. The mean for the sample is M = 55. We want to test whether the treatment had an effect on scores. a. Using symbols, state the hypotheses (H0 and H1) for a two-tailed test. b. Identify the decision criteria (critical values) for \alpha = .05, 2-tailed on the distribution below, using lines or arrows. c. Calculate the test statistic (z) for the sample. d. Make a decision regarding the hypothesis based on the results and write a conclusion sentence summarizing the results of the research.
To test the effectiveness of a treatment, a sample of N = 36 is selected from a normal population with a mean of μ = 60 and a standard deviation of \sigma = 10. The mean for the sample is M = 55. We want to test whether the treatment had an effect on scores. a. Using symbols, state the hypotheses (H0 and H1) for a two-tailed test. b. Identify the decision criteria (critical values) for \alpha = .05, 2-tailed on the distribution below, using lines or arrows. c. Calculate the test statistic (z) for the sample. d. Make a decision regarding the hypothesis based on the results and write a conclusion sentence summarizing the results of the research.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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
Transcribed Image Text:To test the effectiveness of a treatment, a sample of N
= 36 is selected from a normal population with a mean
of μ = 60 and a standard deviation of \sigma = 10.
The mean for the sample is M = 55. We want to test
whether the treatment had an effect on scores. a.
Using symbols, state the hypotheses (H0 and H1) for a
two-tailed test. b. Identify the decision criteria (critical
values) for \alpha .05, 2-tailed on the distribution
below, using lines or arrows. c. Calculate the test
statistic (z) for the sample. d. Make a decision
regarding the hypothesis based on the results and write
a conclusion sentence summarizing the results of the
research.
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