The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 39.5 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? MPG data t this result. 王 32.7 36.0 37.9 38.6 39.9 42.4 eviation(s) V the 42.9 43.7 34.1 36.3 38.0 38.9 40.6 34.3 37.5 38.3 39.5 41.4 35.6 37.7 38.5 39.7 41.8 49.1 Print Done
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- At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 101 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Using the z-score approach for detecting outliers, which of the following serve speeds would represent outliers in the distribution of the player's serve speeds?A toothpaste manufacturer claims that children brushing their teeth daily with his company’s product (brand A) will have fewer cavities than children using brand B. In a carefully supervised study, the number of cavities in a sample of 5 children using brand A toothpaste was compared with the number of cavities in a sample of 5 children using brand B toothpaste. Using the information below, assess whether there is a significant difference in the mean number of cavities across the two groups. Use an alpha level of .05. Obtained value: Critical/ cut-off value: Conclusion: Brand A Brand B Mean = 1.1 Mean = 4.3 SS = 12 SS = 10True or false. If the IQR of a dataset is 0 then any observation smaller than Q1 is classified as an outlier using the 1.5(IQR) rule.
- A marine biologist is interested in whether the Chinook salmon, a particular species of salmon in the Pacific Northwest, are getting smaller within the last decade. In a random sample of this species of salmon, she found the mean length was 36 inches with a margin of error of 9 inches. Construct a confidence interval for the mean length of Chinook salmonA cellular telephone manufacturer that entered the post-regulation market quickly has an initial problem with excessive customer complaints and consequent returns of cell phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many cellular telephones should be sampled and checked in order to estimate the proportion that is defective to within 1% with 90% confidence? A cellular telephone manufacturer that entered the post-regulation market quickly has an initial problem with excessive customer complaints and consequent returns of cell phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many cellular telephones should be sampled and checked in order to estimate the proportion that is defective to within 1% with 90% confidence? 42 68 6766 2025 9604Groups of non-smokers who were not exposed to smoke and non-smokers who were exposed to secondhand smoke were sampled to test their cotinine levels (ng/mL). Using a 0.05 significance level, test the claim that non-smokers exposed to tobacco smoke have higher mean cotinine levels than non-smokers that are not exposed. Exposed to secondhand smoke: n=40, x̅=60.58, s=138.08 Not exposed to secondhand smoke: n=40, x̅=16.35, s=62.53 1. H^0=? 2. H^1=? 3. Critical value(s):? 4. Graph rejection regions with labelled critical value(s) 5. Test statistic: State what test stat is being used (z,t,etc.) the formula being used, and what values are substituted into the formula. 6. P-value=? 7. State the conclusion of the test in the context of the problem (for example, not just "reject null" but what does it mean for this specific problem):
- Given that the sample proportion of Americans who are dissatisfied with the quality of education is 0.53 and the sample size is 1012. A) Estimate the proportion of local adults who are dissatisfied with the education students receive in kindergarten through grade 12 with 95% confidence and a 5% margin of error. Assume that local adults won't differ drastically from those Gallup used, how many people should be sampled?A cellular telephone manufacturer that entered the post-regulation market quickly has an initial problem with excessive customer complaints and consequent returns of cell phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many cellular telephones should be sampled and checked in order to estimate the proportion that is defective to within 1% with 90% confidence?If we collect a sample of blood platlet counts much larger than the sample included with exercise 3, and if our sample includes a single outlier, how will that outlier appear in a histogram
- In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 8. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 189.720 with a standard deviation of 2.230. With α=0.05, perform a hypothesis test to determine if the variance is less than 8. Assume that the district standardized-test scores are normally distributed. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 2. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 209.740 with a standard deviation of 1.210. With α=0.05, perform a hypothesis test to determine if the variance is less than 2. Assume that the district standardized-test scores are normally distributed. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ2=2 Ha: σ2⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯2In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 2. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 209.740 with a standard deviation of 1.210. With α=0.05, perform a hypothesis test to determine if the variance is less than 2. Assume that the district standardized-test scores are normally distributed. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the variance of the mean standardized-test scores for all students at each school in the district is less than 2. 2. We…