For Problems 3 through 5, perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.3. A researcher estimates that the average revenue of the largest businesses in theUnited States is greater than $24 billion. Asample of 50 companies is selected,and the revenues (in billions of dollars) are shown. At a = 0.05, is there enoughevidence to support the researcher's claim?178122914435615646203230282820272916161915413836152531301919192416151519252518141524231717222221201720 4. An increase in walking has been shown to contribute to a healthier lifestyle. Asedentary American takes an average of 5000 steps per day (and 65% ofAmericans are overweight). A group of health-conscious employees of a largehealth care system volunteered to wear pedometers for a month to record theirsteps. It was found that a random sample of 40 walkers took an average of 5430steps per day, and the population standard deviation is 600 steps. At a = 0.05 canit be concluded that they walked more than the mean number of 5000 steps perday?5. It has been reported that the average credit card debt for college seniors is $3262.The student senate at a large university feels that their seniors have a debt muchless than this, so it conducts a study of 50 randomly selected seniors and findsthat the average debt is $2995. The population standard deviation is $1100. Witha = 0.05, is the student senate correct?

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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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An article published in the American Journal of Hypertension reported the results of a longitudinal study on blood pressure. Ten years ago, 51 out of 188 people evaluated were classified as having high blood pressure. This year, 63, out of 194 people evaluated were classified as having high blood pressure. Based on the results of this study, can one conclude that the proportion of people in the population with high blood pressure has increased in the last ten years? Use a = 0.05. I can't find the sign=a I hope someone will know what I am talking about.
A diabetic person is interested in determining how the amount of aerobic exercise impacts his blood sugar. When blood sugar reaches 170 mg/dl, he goes out for a run at a pace of 10 minutes per mile. On different days, he runs different distances and measures his blood sugar after completing his run. The preferred blood sugar level is in the range of 80 to120 mg/dl. Levels that are too low or too high are extremely dangerous. The data generated are given in the following table: Distance (miles),x Blood sugar(mg/dl gram),y 2 136 2 146 2.5 131 2.5 125 3 120 3 116 3.5 104 3.5 95 4 85 4 94 4.5 83 4.5 75 Based on the scenario above, analyse the data with appropriate statistical methods and describe your findings in details. Use alpha=0.05 [note: use hypothesis, test statistics confidence interval etc.] ]
To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Complete parts (a) and (b). Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the data table. (a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment? A. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator. B. This is a good idea in designing the experiment because…
A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot a then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this 2 study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Female Driver -0.1 0.4 1.1 0.7 1.1 1.2 0.1 0.9 0.5 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the pap are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use males #females Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t= df = P = Male Driver 1.4 1.2 0.9 2.1 0.7 1.3 3 1.3 0.6 2.1
A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category. Current Smoker (≥1pack/day) Current Smoker (<1 pack/day Never Smoked 26.7 29.4 22.1 29.4 28.6 30.4 24.3 27.4 21.3 28.4 23.2 26.4 21.6 20.1 19.7 27.4 20.6 19.8 26.8 19.7 21.6 36.4 19.6 22.3 31.5 21.6 24.3 27.4 21.5 *Continue as though all assumptions for ANOVA are met. A) Calculate the MSW and MSB for the data represented above. B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.
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Average IQ scores for young school children are known to be 100 (SD = 15). However, the literature indicates that children’s intelligence may be decreased if their mothers have German measles during pregnancy. Using hospital records, a researcher obtained a sample of n = 25 school children whose mothers all had German measles during their pregnancies. Do the data indicate that children born to mothers who had German measles during the pregnancy have significantly lower IQ scores than typical young school children? child IQ scr 1 91 2 111 3 97 4 95 5 96 6 95 7 95 8 96 9 94 10 93 11 95 12 92 13 96 14 91 15 97 16 93 17 92 18 99 19 93 20 97 21 85 22 94 23 96 24 95 25 96 a. What is the independent variable in the research study? b. Is the independent variable categorical or quantitative? c. What is the dependent variable in…

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A researcher estimates that the average revenue of the largest businesses in the United States is greater than $24 billion. Asample of 50 companies is selected, and the revenues (in billions of dollars) are shown. At a = 0.05, is there enough evidence to support the researcher's claim?