1. Researchers are interested if the distribution of values for the change in HB(Hemoglobin) follows the pattern where 1/3 of the time the decrease is less than orequal to 1 (HB 2 -1), 1/3 of the time the decrease is between 1 and 2 (-2 Anemia (low healthy blood cells or hemoglobin) has an important role in exercise performance.However, the direct link between rapid changes of hemoglobin and exercise performance isstill unknown. A study investigated 18 patients with a blood disorder (beta-thalassemia).Participants in the study performed an exercise test before and the day after receiving a bloodtransfusion. Data are given in the table.HB = HemoglobinRER = Respiratory exchangeIDChange inHBObeseRER > 1.1ratioNoNo1-1.4No-1.5NoYesNoYes3-2No4-2.1No-1.9YesYesNo-1.6-1.8-0.867NoYesNoYes89.-1NoNo-1.2NoYes1011NoNo-0.8-1.512YesNoNoYes1314-1.4-2.6-1.7NoNoYesYes15YesNoYesYes16-2.6No1718-2.7-1.5No

1. Researchers are interested if the distribution of values for the change in HB (Hemoglobin) follows the pattern where 1/3 of the time the decrease is less than or equal to 1 (HB 2 -1), 1/3 of the time the decrease is between 1 and 2 (-2

1. Researchers are interested if the distribution of values for the change in HB (Hemoglobin) follows the pattern where 1/3 of the time the decrease is less than or equal to 1 (HB 2 -1), 1/3 of the time the decrease is between 1 and 2 (-2

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. The data are weekly averages of fasting blood glucose levels (m mols) of a diabetic patient treated with different doses of insulin (units) given over a period of 32 weeks. To recognize the trend in blood glucose change, 8 weeks from the treatment duration of first 12 weeks were chosen randomly and the data are as follows: Week 4 12 7 6 9 2 11 8 Blood sugar (m/mol): 8.1 4.0 5.3 6.1 5.7 7.3 4.8 4.6 Dose/day (units): 15 55 45 30 35 25 Lost 50 Evaluate the relationships between blood sugar levels and the dose of insulin/day. Describe and interpret this relationship?
1. It has been noted that there is a positive correlation between the U.S. economy and the height of women's hemlines (distance from the floor of the bottom of a skirt or dress) with shorter skirts corresponding to economic growth and lower hemlines to periods of economic recession. Comment on the conclusion that economic factors cause hemlines to rise and fall. # of Absences (in weeks) Exam Grade 1 2 345 23 014 90 85 95 92 80
2. I surveyed 150 adults in the U.S. and asked them how many hours of TV the watched on average per week. I then ran a regression of # of hours of TV on whether or not they were a college graduate (=1 if yes, =0 if no), their age in years, the number of children in their household, and whether or not they live a cold climate (=1 if latitude is greater than 41.2, =0 otherwise). The results fro the regression are shown in the table below. Estimate p-value College Graduate -0.8 0.003 Age 0.1 0.150 Number of Children 0.10 0.521 Cold Climate 1.8 0.047 Intercept -1.23 0.041 (a) What is the dependent variable in this regression? (b) What are the independent variable(s) in this regression? (c) What is the unit of analysis? (d) What is the sample size? (e) What is one binary variable used in this analysis? (f) What is one ratio variable used in this analysis? (g) What is the predicted number of TV hours watched by a 50 year old, colleg graduate, with no children at home who lives in Arizona…
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3. A study of beer consumption using the annual data from 1980 -2001 produced the following regression: Y = 0.41 +0.052.X₁; −0.047X2; +0.032X3; −0.018X4i (0.027) (0.011) (0.009) (0.008) (0.009) R² = 0.94 F = 66.58 DW statistic=1.32, figures in the brackets are standard errors Where: Y₁ = Annual aggregate beer consumption in year t (billion pints) X₁₁ = Real disposable income income in year t ($ billions at 2001 prices) X2i = Price of beer in year t (index number with 2001 = 100) X31 Price of wine and sprits in year t (index number with 2001 = 100) = X4₁ = Price of cigarettes in year t (index number 2001 = 100) (a) What is the effect of a change in the price of beer on beer consumption? Does it have the correct sign? Explain. (b) Comment on the signs of the other three coefficients. Are they as expected? (c) Tests the significance of the coefficients on each of the variables Xit i = 1, 2, 3, 4. What assumptions have you made in carrying out these tests? (d) What conclusion do you draw…
In a sample there are 3 male dogs and 3 female dogs. These dogs are couples such that the weight of the ith dog, and the Fi measures the weight of the ith dogs girlfriend. The correlation between M and F is exactly 1 and when the data points are graphed the slope of them are 1. Is it possible for some of these dogs to weight more than their female couple, while other dogs weight less then their female couple? And is it possible that all of the male dogs have couple female dogs that are all shorter than them?
3. Suppose that the following import function for Turkey is estimated for Turkey between 1980-2015. Import, a, + a,GDP; + ażER¸ + ut In order to measure the impact of 2001 crisis the regression is estimated based on the whole and two subsamples and the following RSS are obtained. Time period: 1980-2000 , RSS1= 69 Time period: 2001-2015, RSS2 =35 Time period: 1980-2015 , RSS = 160 Carry out the Chow test whether the regressions for the two periods are different at 5% significance level. (35 P)
Age is a variable that is important in most if not all epidemiological studies of health because our health is so strongly related to age. The following table is a two-dimensional table that summarizes the distribution of age in a certain population every five years starting with 1970 (the first row) to 2000 (the last row). Each row contains information for one year. Reading across the row (over the column), the table shows the number of individuals in each age group. If you choose this option, please do the following: (a) using the data provided, produce a new two-dimensional table that shows, for each year, the percentage of that year’s total population in each age interval (Tip! In each row, the sum of your percentages should be 100%); and (b) write a brief report (a paragraph or so, no more!) on what these summaries suggest regarding the possibility (or lack thereof) of changes over time in the age distribution of this population. Interval of Age, years…
18. Because ethanol contains less energy than gasoline, a researcher wants to determine if the mileage of a car (y) is affected by the percent ethanol in the gasoline (x). The true population regression line relating the mean mileage y for a given ethanol content x (in percent) is μy|x = β0 + β1x. In a controlled environment, the mileage of a car is recorded when refueled 7 times using between 0% and 10% ethanol. The least squares regression line was found to be yˆ = βˆ0 + βˆ1x = 32.96 − 0.250x. We wish to test H0 : β1 = 0 versus Ha : β1 < 0 at the α = 0.05 significance level (i.e. we want to determine if the addition of ethanol significantly decreases mean gas mileage). What is the p−value for this test? What is your conclusion? Note: s?e(βˆ1) = 0.0485. Which of the following is/are true? (A) In reference to question (18), it would be appropriate to approximate the mean mileage when the car is using 85% ethanol (B) In reference to question (18), a 95% confidence interval for β1…
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