The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 178.9 lb. Assume that σ is known to be 110 lb.(a) Use a 0.05 significance level to test the claim that the population mean of all such bear weights is greater than 150 lb. Use the usual critical-value method to perform this test.(b) Find the P-value for this test and explain how the P-value would lead you to the same conclusion that your rejection region method did. (Note that you don’t have to re-do the whole test, but show your work for finding the P-value.)

Given information Population mean µ = 150 lb Sample size n = 54 Standard deviation σ = 110 lb

Answered: The health of the bear population in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A quality inspector measured the diameter of a ball bearing using a new type of caliper. The results were as follows (in mm): 0.265, 0.263, 0.266, 0.267, 0.267, 0.265, 0.267,0.267, 0.265, 0.268, 0.268, and 0.263. Use the Wilcoxon signed-rank test to evaluate the claim that the mean ball diameter is 0.265 mm. Use a = 0.05. Match the answers. - v Parameter of Interest: a. H:u = 0.265 v Null and Alternative Hypothesis H:µ > 0.265 v Test Statistic: b. w = min (w+,w-) v Reject the Null Hypothesis if: c. Fail to reject the null hypothesis. v Conclusion: w = 9 is not less than or equal to the critical value w 0.05.1=9= 5 d. Mean ball diameter e. Reject the null hypothesis. The mean ball diameter claim is not 0.265 mm. f. H:u = 0.265 H:µ + 0.265 g.r = min (R+,R-) h. Η: μ:0.265 H:u < 0.265 i. w < wo.05. J=12 = 13 j. w < W0.05. n=9
Women are recommended to consume 1700 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 12 women who participated in the study is shown below: 1784, 1677, 1583, 1984, 1910, 1737, 1522, 1574, 1853, 1546, 1707, 1866 Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.)
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I need the p value, please.
The amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed. Find the critical value for testing for a difference in the mean sodium amounts at the a = 0.05 level of significance. Condiments Cereals 180 160 230 200 220 190 140 300 250 240 220 160 150 310 A) 3.05 B) 3.47 C) 0.33 D) 3.52 Desserts 340 130 280 230 210 150 340 120
It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.
For a fixed alpha level of significance used for a hypothesis test, the critical value for a chi-square statistic decreases as the size of the sample decreases. a. True b. False
Devise a hypotheses for the research question: Is there singificant correlation between students height and typical amount of sleep a student gets per night? Identify the appropriate statistical test using alpha = 0.05. Perform the statistical test. Use descriptive statistics to describe the variables both numerically and graphically. Height (whole inches) Sleep (minutes) 60 360 62 400 66 420 68 440 68 540 70 480 72 320 75 440 66 360 63 420 69 420 75 390 69 360 67 480 69 360 73 360 69 480 70 420 68 360 63 480 69 270 68 360 71 420 71 360 62 420
According to a survey conducted by the Association for Dressing and Sauces, 85% of American adults eat salad at least once a week. A nutritionist suspect that the percentage is higher that this. She conducts a survey of 200 American adults an finds that 171 of them eat salad at least once a week. Conduct the appropriate test that addresses the nutritionist's suspicions. Use the a = 0.1 level of significance. What is the test statistic? t-score population parameter Z-Score standard deviation
Suppose an experiment finds that people taking a new herbal remedy get fewer colds than people taking a placebo. The results are statistically significant at the 0.01 level. Has the experiment proven that the herbal remedy works?
Researchers wants to determine if low-fat diets or low-carb diets are more effective for weight loss. Suppose 100 people were placed on a low-fat diet and at the end of 3 months the mean weight loss was 10.5 lbs witha standard deviation of 12.5 lbs. There were another 100 people placed on a low-carb diet and at the end of 3 months the mean weight loss was 16.5 lbs with a standard deviation of 10.2 lbs. Does mean weight lossdiffer between the two diets? What are the hypotheses??

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