A math teacher wanted to use hypothesis testing to support the claim that mean time in minutes to complete a quiz has dropped from three years ago. A sample size of 40 will be selected for this test. A diagram of the design of this test is shown to the right. k. What is the value of H, in this problem? 1. Write the Null Hypothesis in terms of population parameters. m. What is value of the effect size?
A math teacher wanted to use hypothesis testing to support the claim that mean time in minutes to complete a quiz has dropped from three years ago. A sample size of 40 will be selected for this test. A diagram of the design of this test is shown to the right. k. What is the value of H, in this problem? 1. Write the Null Hypothesis in terms of population parameters. m. What is value of the effect size?
MATLAB: An Introduction with Applications
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Transcribed Image Text:A math teacher wanted to use hypothesis testing
to support the claim that mean time in minutes to complete
a quiz has dropped from three years ago. A sample size of
40 will be selected for this test. A diagram of the design of
this test is shown to the right.
Reject Ho
FTR Ho
.01
k. What is the value of H, in this problem?
14
1. Write the Null Hypothesis in terms of population
.19
parameters.
m. What is value of the effect size?
n. What is the Power of the test when mean time is 11 minutes?
o. If the test was conducted, and the p-value was .023, would the decision be Reject or Fail to Reject
the Null Hypothesis?
p. If the significance level of the test was changed to 0.05, would the shaded darker area on the right
bottom (Ha) graph labeled 0.19 increase, decrease or stay the same?
q. Suppose you wanted to redesign the test to have 95% power, but you didn't want to change the effect
size or the significance. Would you have to increase or decrease the sample size?
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