How much evidence is there that the new system has reduced the mean waiting time to below six minutes? THE BANK CUSTOMER WAITING TIME CASE WaitTime Letting μ be the mean waiting time under the new system, we found in Exercise 9.9 that we should test H0: μ ≥ 6 versus Ha: μ < 6 […]
How much evidence is there that the mean composite satisfaction rating exceeds 42? THE VIDEO GAME SATISFACTION RATING CASE VideoGame Recall that “very satisfied” customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 65 satisfaction ratings
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THE BANK CUSTOMER WAITING TIME CASE WaitTime Letting μ be the mean waiting time under the new system, we found in Exercise 9.9 that we should test H0: μ ≥ 6 versus Ha: μ < 6 in order to attempt to provide evidence that μ is less than six minutes. The random sample of 100
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THE VIDEO GAME SATISFACTION RATING CASE THE VIDEO GAME SATISFACTION RATING CASE VideoGame Recall that “very satisfied” customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 65 satisfaction ratings to provide evidence supporting the claim that
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How much evidence is there that H0: μ = 80 is false and Ha: μ > 80 is true? Exercises for Section 9.2 CONCEPTS 9.14 Explain what a critical value is, and explain how it is used to test a hypothesis. 9.15 Explain what a p-value is, and explain how it is used to test
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Explain what a p-value is, and explain how it is used to test a hypothesis. Exercises for Section 9.2 CONCEPTS 9.14 Explain what a critical value is, and explain how it is used to test a hypothesis. 9.15 Explain what a p-value is, and explain how it is used to test a hypothesis. METHODS AND
Explain what a p-value is, and explain how it is used to test a hypothesis. Read More »
Explain what a critical value is, and explain how it is used to test a hypothesis. Exercises for Section 9.2 CONCEPTS 9.14 Explain what a critical value is, and explain how it is used to test a hypothesis. 9.15 Explain what a p-value is, and explain how it is used to test a hypothesis. METHODS
Explain what a critical value is, and explain how it is used to test a hypothesis. Read More »
Interpreting the Weight of Evidence against the Null Hypothesis If the p-value for testing H0 is less than • .10, we have some evidence that H0 is false. • .05, we have strong evidence that H0 is false. • .01, we have very strong evidence that H0 is false. • .001, we have extremely strong
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Measuring the weight of evidence against the null hypothesis We have seen that in some situations the decision to take an action is based solely on whether a null hypothesis can be rejected in favor of an alternative hypothesis by setting α equal to a single, prespecified value. For example, in the trash bag case
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Using confidence intervals to test hypotheses Confidence intervals can be used to test hypotheses. Specifically, it can be proven that we can reject H0: μ = μ0 in favor of Ha: μ ≠ μ0 by setting the probability of a Type I error equal to α if and only if the 100(1 − α) percent confidence interval
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