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# 3 Hypothesis test questions

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Question 1 - the concepts
Professor Walters knows that the mean score on the midterm exam from all the years he has been teaching is 83%. Kennedy was in his most recent class, and his class's mean score on the final exam was 81%. Kennedy decided to run a hypothesis test to determine if the mean score of his class was different than the mean score of the population. α = .01.
• What is the mean score of the population?
• What is the mean score of the sample?
• Is this test one-tailed or two-tailed? Why?
• What are the null and alternative hypotheses in this case?
• Let's pretend that p was calculated, and p = 0.005, should Kennedy reject or fail to reject the null hypothesis? Why?
• What should Kennedy's statement of conclusion be? (This circles back to what is being tested).

Question 2 - hypothesis test with guidance
A sample of 14 account balances of a credit company showed a mean customer balance of \$4,550, but the marketing manager claimed that the mean balance for the population was \$4,325. The marketing manager did NOT have the population standard deviation, but the sample standard deviation was found to be \$500. Use the p-value approach to conduct a full hypothesis test (all steps) that can be used to determine whether the mean of all account balances is significantly different from \$4,325. Let α = .10.
The null hypothesis is
The alternative hypothesis is
I will use a _________ in my formula because
I have calculated the value of t to be
I have used t to get the value of p. My p value is
Alpha, which is given in the problem, is
When I compared p to alpha, p is __________ alpha.
Because of this, I know I should __________ my null hypothesis.
Choose one. The mean balance is different than \$4325. / The mean balance is NOT different than \$4325.

A sample of 510 homes for sale in ABC City showed a mean asking price of \$258,000, but the city claimed that the mean asking price for the population was \$249,000. The population standard deviation of all homes for sale was \$9,000. Use the p-value approach to conduct a full hypothesis test (all steps- follow the guidance in the last problem) that can be used to determine whether the mean asking price is significantly greater than \$249,000. Let α = .05.

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Question 1 - the concepts
• What is the mean score of the population? 83%
• What is the mean score of the sample? 81%
• Is this test one-tailed or two-tailed? Why? This would be a two-tailed test because we are trying to determine if the mean score of his class was different than the mean score of the population.
• What are the null and alternative hypotheses in this case?
Hₒ: µ = 83% and Hₐ: µ ≠ 83%
• Let's pretend that p was calculated, and p = 0.005, should Kennedy reject or fail to reject the null hypothesis? Why? With a p-value of 0.005 Kennedy should reject the null ...

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###### Education
• MSc, California State Polytechnic University, Pomona
• MBA, University of California, Riverside
• BSc, California State Polytechnic University, Pomona
• BSc, California State Polytechnic University, Pomona
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##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.