Jack and Jill want to know whether running up a hill once a day improves lung capacity and decidedto conduct an experiment. Both Jack and Jill measured their lung capacity before the experiment.Through random allocation, it was decided that Jack would not exercise for six weeks while Jill ranup the hill once a day for the same six week period. At the end of six weeks, Jack and Jill againmeasured their lung capacity and compared the measure to the initial value for potentialimprovement. What key feature of a well-designed experiment did Jack and Jill not incorporate?(A) Random assignment of subjects to treatments(B) Replication within each treatment group(C) Stratifying by factors that affect the response variable(D) A control group for comparison(E) This experiment includes all key features of a well-designed experiment

Jack and Jill failed to incorporate the replication within each treatment group, so the correct…

Answered: Jack and Jill want to know whether…

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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The athletic director at a large university compared the proportions of freshmen (1st year students) and seniors (4th year students) who exercise regularly. She analyzed the data and found the Z-statistic for the difference between the population proportions to be 2.43 with a P-value of 0.015. The level of significance was set at 0.05. State the conclusion she can draw about the difference between the two population proportions.
A research study examined the cholesterol levels in two groups (control vs. salmon consumption group) to see whether consuming more salmon in the diet would make a difference on cholesterol levels. The mean cholesterol level of the 60 people in the control group was 240 with a SD of 20. The mean cholesterol level of the 60 people in the salmon consumption group was 210 with a SD of 21. Calculate the z or t test statistic
In Class Exercise You are asked to evaluate the effect of a fast acting blood pressure medication. You take a random sample of 200 people from the population and assign half of them at random to take the pill. Of the 100 you told to take the pil| 25 refuse and 75 take it. At the end of a week you check the blood pressure of the group assigned to get the pill and it is 120 on average and the blood pressure of the group assigned to control is 127.5 on average. 1. What is Y;, what is Z;, what is D;? 2. What is the first stage? Estimate and interpret 3. What is the reduced form? Estimate and interpret. 4. What is the effect of the drug on blood pressure?
A pharmaceutical company wanted to study the effectiveness of a new hair growth product in women. It recruited 1100 random women from the L.A. area and measured the length of their hair. They gave 500 women the new product in unmarked bottles to use over a 6-month period. The other 600 women received unmarked bottles with mostly water and fragrance to use over a 6-month period. None of the women knew which product they received. They found that 450 out of 500 women that received the new product showed hair growth of 1-2 inches. Only 90 out of 600 women that used the water/fragrance combination showed hair growth of 1-2 inches. What percentage of women that received the treatment showed hair growth of 1-2 inches? Answer: 450/ 500= 0.9= 90%
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…
Peter Boag, studied the inheritance of beak depth in Galapagos finches by looking at the relationship between parent beak depth (in mm) and that of their offspring. He collected two sets of parent offspring data, once in 1976 and again in 1978. For both years he followed birds to determine which pairs belonged to which nests. Most of the parents had been previously captured so their beak depths were known. He then captured the offspring when they fledged and measured their beak depth. He calculated the "midparent" beak depth (the average beak depth of the two parents) and then compared that to beak depth of their offspring. Use regression analysis to estimate heritability for the trait beak depth from the Galapagos finches data in the above table.
Scientists are interested in the placebo effect on adults with arthritis. They randomly choose 15 adults with arthritis and give them 2 treatments: effective drug and placebo for 1 week at different times. At the end of each week, the scientists ask the participants to rate their arthritic pain level on a scale of 1-5, where 1 is little pain and 5 is a lot of pain. The researchers then take the difference of their pain levels (affective drug - placebo). The data are below. 0, 1, 2, 2, 0, -1, 3, 1, 2, -1, 0, 1, -2, -1, -6 (a) Find the 5-number summary for the difference of arthritic pain levels. Minimum = Q₁ = Median = USE SALT Q3 = Maximum = (b) One of the conditions for inference for population mean difference of paired data is normality. Outliers within a data set cast a shadow of doubt upon the normality of the population distribution. Use the 5-number summary calculated in part (a) to determine if there are any outliers in the data set. Which of the values, if any, is an outlier…
As the manager of a fashion brand, you have recently run a large-scale campaign to draw attention to your company's CSR activities and thus improve the brand's image. In order to evaluate the efficiency of the campaign, you conducted a survey at major fashion stores to measure the attitudes towards. your brand at two points of time: before the campaign started and after the campaign finished. By summing up respondents' answers to 3 questions (each measuring a particular aspect of attitude on a 1-5 scale), a single overall measure of attitude is obtained for each participant. This measure can therefore range from 3 to 15, with a score of 3 representing and extremely negative attitude and a score of 15 representing an extremely positive attitude. To check whether male and female customers have different attitudes towards you company, as well as to test whether the campaign may have affected males and females differently, you ask the respondents to report their gender. You analyse the…
On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )
You are working on a magic pill that you think might totally eliminate pain when given to patients who are experiencing severe pain. In your work, you have discovered three ingredients that might be effective if each is used alone. Which drug therapy works best? The dependent measure is the degree of pain relief after 30 minutes of ingestion. A higher value means greater pain relief. Drug 1: 5,7,11,10,10,6,4,8 Drug 2: 13,12,12,8,7,8,12,11 Drug 3: 15,11,13,10,10,16,14,11 Placebo: 10,8,5,9,6,13,11,16 Set up your hypotheses, Report your Hypotheses in narrative and symbolic form. Use a = .01 What is the Dependent Variable? What is the Independent Variable? How many levels exist for the independent variable? Perform the appropriate ANOVA. Present your results in an ANOVA Summary Table Complete the Scheffe' Test if you find a Significant F . Compute the R2 If necessary

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