Assume that a hypothesis test of the following claim will be conducted. A book company claims that the retail price for history books has increased sin- 2005 when the mean retail price of history books was $78.01. a. State the hypotheses in words. b. State the hypotheses mathematically. c. Identify the test as being one-tailed or two-tailed. d. Assuming that the test is conducted and that the conclusion is to reject th
Assume that a hypothesis test of the following claim will be conducted. A book company claims that the retail price for history books has increased sin- 2005 when the mean retail price of history books was $78.01. a. State the hypotheses in words. b. State the hypotheses mathematically. c. Identify the test as being one-tailed or two-tailed. d. Assuming that the test is conducted and that the conclusion is to reject th
MATLAB: An Introduction with Applications
6th Edition
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:### Hypothesis Testing Exercise
Assume that a hypothesis test of the following claim will be conducted. A book company claims that the retail price for history books has increased since 2005 when the mean retail price of history books was $78.01.
a. **State the hypotheses in words.**
- Null Hypothesis: The mean retail price of history books has not increased since 2005.
- Alternative Hypothesis: The mean retail price of history books has increased since 2005.
b. **State the hypotheses mathematically.**
- Null Hypothesis (\(H_0\)): \(\mu = 78.01\)
- Alternative Hypothesis (\(H_a\)): \(\mu > 78.01\)
c. **Identify the test as being one-tailed or two-tailed.**
- This is a one-tailed test because we are only interested in finding out if the mean price has increased.
d. **Assuming that the test is conducted and that the conclusion is to reject the null hypothesis, state the conclusion in non-technical terms.**
- Conclusion: There is sufficient evidence to support the claim that the retail price of history books has increased since 2005.
e. **Assuming that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.**
- Conclusion: There is not enough evidence to support the claim that the retail price of history books has increased since 2005.
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