A nutrition bar manufacturer claims that the standard deviation of the number of grams of carbohydrates in a bar is 1.11 grams. A random sample of 26 bars has a standard deviation of 1.19 grams. At α=0.05, is there enough evidence to reject the manufacturer’s claim? Assume the population is normally distributed.
9. Hypothesis Testing for One Sample
Steps in Hypothesis Testing
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In Exercise 1, you rejected the claim that p=0.53. But this claim was true. What type of error is this?
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In Exercises 55–58, test the claim about the population variance or standard deviation at the level of significance . Assume the population is normally distributed.
Claim: σ^2 > 2; α=0.10. Sample statistics: s^2 = 2.95, n=18
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In Exercises 51–54, find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance.
Left-tailed test, n=6, α=0.05
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In Exercises 29–34, find the critical value(s) and rejection region(s) for the type of t-test with level of significance α and sample size n.
Two-tailed test, α=0.02, n=12
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In Exercises 29–34, find the critical value(s) and rejection region(s) for the type of t-test with level of significance α and sample size n.
Right-tailed test, α=0.02, n=63
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In Exercises 29–34, find the critical value(s) and rejection region(s) for the type of t-test with level of significance α and sample size n.
Two-tailed test, α=0.05, n=20
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n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.
σ > 1.9
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n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.
p < 0.205
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n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.
μ ≤ 375
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In Exercises 27–30, find the critical values and for the level of confidence c and sample size n.
c = 0.90, n = 16
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In Exercises 27–30, find the critical values and for the level of confidence c and sample size n.
c = 0.98, n = 25
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In Exercises 27–30, find the critical values and for the level of confidence c and sample size n.
c = 0.95, n = 13
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A researcher claims that 5% of people who wear eyeglasses purchase their eyeglasses online. Describe type I and type II errors for a hypothesis test of the claim. (Source: Consumer Reports)
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In Exercises 7–10, the statement represents a claim. Write its complement and state which is Ho and which is Ha.
μ<33
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