A manufacturer claims that a particular automobile will get at least 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine plan to test this claim with a simple random sample of 30 cars. Assuming that the standard deviation between individual cars is 2.3 miles per gallon, what should the researchers conclude if the sample mean is 49 miles per gallon? A. There is not sufficient evidence to reject the manufacturer's claim; 49 miles per gallon is too close to the claimed 50 miles per gallon. B. The manufacturer's claim should not be rejected because the p-value of 0.0086 is too small. C. The manufacturer's claim should be rejected because the sample mean is less than the claimed mean. D. The p-value of 0.0086 is sufficient evidence to reject the manufacturer's claim.
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A manufacturer claims that a particular automobile model will get 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine believe that this claim is high and plan a test with a simple random sample of 30 cars. The sample mean is 49 miles per gallon. Assuming the population standard deviation is 2.3 miles per gallon, The researchers can conclude (if the sample mean is 49 miles per gallon): (A) There is not sufficient evidence to reject the manufacturer’s claim; 49 miles per gallon is too close to the claimed 50 miles per gallon. (B) The manufacturer’s claim should not be rejected because the P-value of .0086 is too small. (C) The manufacturer’s claim should be rejected because the sample mean is less than the claimed mean (D) The P-value of .0086 is sufficient evidence to reject the manufacturer’s claim. (E) The P-value of .0086 is sufficient evidence to prove that the manufacturer’s claim is false.
Adi S.
A manufacturer claims that a particular automobile model will get 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine believe that this claim is high and plan to test it with a simple random sample of 30 cars. Assuming the standard deviation between individual cars is 2.3 miles per gallon, what should the researchers conclude if the sample mean is 49 miles per gallon? In order to answer this research question, answer each of the following: What is the null and alternative hypothesis? Find the p-value (by calculating the appropriate test statistic). What is the conclusion?
Qudsiya A.
Testing Claims Using P-Values $(a)$ identify the claim and state $H_{0}$ and $H_{a}$, (b) use technology to find the P-value, (c) decide whether to reject or fail to reject the null hypothesis, and (d) interpret the decision in the context of the original claim. Assume the population is normally distributed. Speed Limit A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean speed of 48 miles per hour and a standard deviation of 5.4 miles per hour. At $\alpha=0.10,$ do you have enough evidence to support the county's claim?
Hypothesis Testing with Dna Sample
Hypothesis Testing for the Mean ( $\sigma$ Unknown)
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