hypothesis so that the rejection of the null hypothesis \( \mu=10.5 \) implies that it takes longer than indicated. 29. It is claimed that sports car owner drive on the average 18000 miles per year. A consumer firm believes that the average mileage is probably lower. To check, the consumer firm obtained information from 17 randomly selected sports car owner that resulted in a sample mean of 17463 miles with standard deviation of 1348 miles. What can we conclude about this claim? Use \( \alpha=0.01 \) 30. In attempting to control the strength of the wastes discharged into 2
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First, we need to set up our null and alternative hypotheses. The null hypothesis (H0) is that the average mileage is 18000 miles per year (μ = 18000). The alternative hypothesis (H1) is that the average mileage is less than 18000 miles per year (μ < Show more…
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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. Oil Changes A repair shop believes that people travel more than 3500 miles between oil changes. A random sample of 8 cars getting an oil change has a mean distance of 3375 miles since having an oil change with a standard deviation of 225 miles. At $\alpha=0.05,$ do you have enough evidence to support the shop's claim?
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Imagine that a researcher obtains a sample mean of 39 with a sample size 100 (N = 100). Additionally, please assume that the relevant population mean is 35 and that the relevant population standard deviation is 15. Under these circumstances, if the researcher conducted a two-tailed z test with an alpha level of 0.05, what conclusion should he or she reach, based on these data and the rules of hypothesis testing? When answering, please assume that the researcher is using a typical two-tailed null hypothesis indicating that there is no difference between means. Group of answer choices Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis There is not enough information to reach any of the conclusions listed above.
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(a) identify the claim and state $H_{0}$ and $H_{a}$ (b) find the critical value and identify the rejection region, (c) find the test statistic $F$,(d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology. The table at the left shows a sample of the driving distances (in yards) for two golfers. At $\alpha=0.10,$ can you conclude that the variances of the driving distances differ between the two golfers?
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