![]() MUSIC MATH SCORES HIGHER DRIVER(a) Why is it important that the matching be done by driver and car? Yes because the boxplot supports that the lake is becoming more clear, since most differences are negative. *for box plot comput combined data ( data comput build )ĭoes this visual evidence support the results obtained in part b)? There is sufficient evidence at the α=0.05 level of significance to conclude that the clarity of the lake is improving. Level of significance to conclude that the clarity of the lake is improving. Identify the null and alternative hypotheses.įind the P-value for this hypothesis test. b) Does the evidence suggest that the clarity of the lake is improving at the α=0.05 level of significance? Note that the normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Using the same dates makes the second sample dependent on the first and reduces variability in water clarity attributable to date. One can be 99% confident that the mean difference in measurement lies in the interval found above.Ī) Why is it important to take the measurements on the same date? Compute the difference as device A minus device B. (c) Construct a 99% confidence interval about the population mean difference. There is not sufficient evidence at the α=0.01 level of significance to conclude that there is a difference in the measurements of velocity between device A and device B. Identify the null and alternative hypotheses.ĭetermine the test statistic for this hypothesis test. (b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the α=0.01 level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Two measurements (A and B) are taken on the same round. While it is possible that the population mean is not captured in the confidence interval, it is not likely. MUSIC MATH SCORES HIGHER DRIVERSIs it possible that the mean BAC of all drivers involved in fatal accidents who are found to have positive BAC values is less than the legal intoxication level? Explain. ![]() (d) All areas of the country use a BAC of 0.09 g/dL as the legal intoxication level. The researcher is 9090% confident that the population mean BAC is between 0.1360.136 and 0.1640.164 for drivers involved in fatal accidents who have a positive BAC value. Round to three decimal places as needed.) Select the correct choice below and fill in the answer boxes to complete your choice. (c) Determine and interpret a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC. The sample size is likely less than 5% of the population. Explain why this, along with the fact that the data were obtained using a simple random sample, satisfies the requirements for constructing a confidence interval. (b) Recently there were approximately 25,000 fatal crashes in which the driver had a positive BAC. Since the distribution of blood alcohol concentrations is highly skewed right, a large sample size is necessary to ensure that the distribution of the sample mean is approximately normal. What do you conclude about the impact of large samples on the P-value?Īs n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. Is a sample mean of 528 significantly more than 523? Conduct a hypothesis test using the P-value approach. Assume that the sample mean is still 528 and the sample standard deviation is still 115. ![]() (d) Test the hypothesis at the α=0.10 level of significance with n=400 students. No, because the score became only 0.96% greater. Is the sample mean statistically significantly higher?ĭo you think that a mean math score of 528 versus 523 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? ![]() ![]() Is a mean math score of 528 statistically significantly higher than 523? Conduct a hypothesis test using the P-value approach. Test the hypothesis at the α=0.10 level of significance. ![]()
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