The manufacturer claims that your new car gets 28 mpg on the highway. You suspect that the mpg is more for your car. The 46 trips on the highway that you took averaged 28.7 mpg and the standard deviation for these 46 trips was 4.3 mpg. What can be concluded at the a = 0.01 level of significance?
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- What percentage of scores is between a z of ‐2 and a z of +2? Why is this important?A pharmaceutical company states that there is 500mg of active ingredient in each capsule for one of the medicines they manufacture. However, the FDA believes the company is purposely underfilling the capsule to save money. A sample of 20 capsules is taken and the amount of active ingredient inside is measured. The results are below: 484 460 471 512 494 529 494 485 474 502 503 538 466 495 475 529 518 464 449 489 Part 1: Construct a 95% confidence interval using toolPAK for the amount of active ingredient measured. Use the appropriate distribution, and specify the upper and lower limits of the interval. Part 2: Carefully interpret the 95% confidence interval? What if you did constructed a Confidence Interval Manually? Part 3: Does the 95% confidence interval support the FDA’s claim? Explain. Part 4: Would your answer change if the confidence level was lowered to 75%? Explain.A researcher interested in exercise endurance in older adults with coronary heart disease measured the endurance of 450 older adults during an exercise routine on a scale of 0-10. He obtained a mean (SD) rating of 6.2 (3.4). Compute the 85% C. I: _____________.
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- A study assessed the lung destructive index among smokers and non- smokers provided the following data Smokers : overline x 1 =14.5 n 1 =12 S P =2.50 Non- Smokers: overline x 2 =9.5 n 2 =10 a = .05 From the available data, can we conclude that smokers have greater lung damage than non-smokers?The average weight of a Coastal male Grizzly Bear is approximately normal with E(x); =795 pounds and SD * (x) = 80 pounds. 8. How likely is it to randomly select 64 Coastal male Grizzly Bears with a sample average weight of 810 pounds or more? Which density curve is the best model for this problem?A high school wishes to find out if the average THC in baseline group is less than 4.2 ng/mL at alpha=0.01. The baseline group has a sample mean = 4.16 and SD= 115. n= 1317 Please indicate the type of test to use and how to interpret it.
- The Department of Health wishes to determine the percentage, p, of the general population who are infected by Cooties during a recent outbreak. The test for Cooties is known to be 99% accurate given that a patient is infected and 90% accurate given that a patient is not infected. The results of the tests are returning at 15% positive.A population with a mean of μ = 8 has SX = 40.How many scores are in the population?