Engineers at a tire manufacturing corporation wish to test a new tire material tor increased durabl test the tires under realistic road conditions, new front tires are mounted on each of 11 company c tire made with a production material and the other with the experimental material. After a fixed pe the 11 pairs were measured for wear. The amount of wear for each tire (in mm) is shown in the tabl Car Production Experimental 5.1 5.0
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- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operationsmanager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is8.2 years. The standard population is 2.3 years. At can it be concluded that the average ageof the taxis in his company is less than the national average?A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…
- What is the average NO3- concentration at the upslope site (3 decimal places)? What is the average NO3- concentration at the downslope site ( 3 decimal places)? Given the EPA drinking water quality standard is 10 mg/L of nitrate, is the upslope site safe to drink based only on nitrate content? (Enter yes or no) Is the downslope site safe to drink, based only on NO3- concentration? (Enter yes or no) Assuming the two sites are hydrologically well connected, the transit time between the two sites is fast, and the two sites cannot be treated as independent samples, what kind of t-test should be performed to show that the upslope site is greater than the downslope site? Enter the letter of your answer choice in the answer blank A. one-tailed unpaired t-testB. two-tailed unpaired t-testC. one-tailed paired t-testD. two-tailed paired t-test What is the calculated t statistic, rounded to 4 decimal places? Is the calculated t statistic greater or less than the critical t value reported by…Suppose that the makers of Duracell batteries want to demonstrate that their size AAbattery lasts an average of at least 45 minutes longer than Duracell’s main competitor,the Energizer. Two independent random samples of 100 batteries of each kind areselected, and the batteries are run continuously until they are no longer operational. Thesample average life for Duracell is found to be 308 minutes. The result for the Energizerbatteries is 254 minutes. Assume the entire AA batteries standard deviation 84 minutesand Duracell batteries 67 minutes. Is there evidence to substantiate Duracell’s claim thatits batteries last, on average, at least 45 minutes longer than Energizer batteries of thesame size? (assuming equal population variances)The Us food and Drug administration has a limit for mercury content in fish of 1.0ppm (parts per million) while in Canada the limit is 0.5 ppm. Using the variable average mercury in the Florida lakes dataset to test whether there is evidence that average mercury level of fish ( large mouth Bass) in Florida lakes is less than 1.0ppm and whether there is evidence that average mercury level of fish in Florida lakes is less than 0.5ppm. STATE THE NULL AND ALTERNATIVE HYPOTHESES? GIVE THE TEST STATISTICS AND P-VALUE? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY LEVEL OF FISH (LARGE MOUTH BASS) IN FLORIDA LAKES IS LESS THAN 1.0PPM? LESS THAN 0.5 PPM : STATE THE NULL AND ALTERNATIVE HYPOTHESES. GIVE THE TEST STATISTICS AND P-VALUE ? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY…
- A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 23%? (Round your answer to four decimal places.)A particular orchid species has extensions on its flowers called nectar spurs. It has been hypothesized that these spurs improve pollination by requiring long-tongued pollinators to press further against the flower in order to reach the distant nectar at the bottom of the spur. To test this, researchers shortened the spurs of 59 orchids, while leaving another 59 orchids intact as controls. After a week, they found that 10 of the shortened flowers had been pollinated, while 27 of the control flowers had been pollinated. How would you test whether there was a difference in pollination rate for shortened vs. intact flowers?A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is less than 0.20. If the z− test statistic was calculated as z=−2.11, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.005. Move the blue dot to choose the appropriate test (left-, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. powered by Move the blue dot to choose the appropriate test α=0.01 α=0.025 α=0.05 α=0.1 Significance level = 0.01 Select the correct answer below: There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.…
- a sample of 4 students was taken and information about daily pocket money in tl (Y) and spending in tl (x) was collected2. Consider a study where students are measured on whether they had an internship during their time at WKU (Y/N) and whether they had a job at graduation (Y/N). If we wanted to test whether having an internship was associated with having a job at graduation (i.e., internship holders were more likely to have jobs), why would the chi-square test be inappropriate for this hypothesis? How should we analyze our data?4.A new vitamin supplementation program is intended to decrease average resting heart rate inindividuals at risk for hypertension. Assume that a team of researchers are hopeful that restingheart rate in their population will get down to less than 68 bpm, in a population with a standarddeviation of 2 bpm. In order to test this goal reduction, the team gathers a SRS of 273participants in their program and calculates a sample average resting heart rate of 74 bpm.A) Carry out a one sample Z test to determine if the team can conclude that the supplementationprogram is successful in meeting their goal reduction in resting heart rate. Use an α=0.05.B) Construct a 95% Confidence interval about the sample mean, and interpret the result.