An article in the Journal of Human Nutrition and Dietetics [“The Validation of Energy and Protein Intakes by Doubly Labeled Water and 24-Hour Urinary Nitrogen Excretion in Post-Obese Subjects” (1995, Vol. 8, pp. 51–64)] showed the energy intake expressed as a basal metabolic rate, BMR (MJ). 5.40 5.67 5.79 6.85 6.92 5.70 6.08 5.48 5.44 5.51 a. Use a normal probability plot to check the normality assumption. b. Find a 99% two-sided confidence interval on the mean BMR.
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An article in the Journal of Human Nutrition and Dietetics [“The Validation of Energy and Protein Intakes by Doubly Labeled Water and 24-Hour Urinary Nitrogen Excretion in Post-Obese Subjects” (1995, Vol. 8, pp. 51–64)] showed the energy intake expressed as a basal metabolic rate, BMR (MJ).
5.40 5.67 5.79 6.85 6.92 5.70 6.08 5.48 5.44 5.51
a. Use a normal probability plot to check the normality assumption.
b. Find a 99% two-sided confidence interval on the mean BMR.
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- Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 µg/l? Based on your preceding result, without performing a calculation, would a 99% confidence interval for this difference contain 0? Explain why or why not.A group of six, obese adult men had their weights recorded both before and 10 months after having a diet treatment to help manage their weight. Observe the information presented in the table below: The weights of six obese adult men both before and 10-months after having a diet treatment Before Diet Treatment After Diet Treatment 250 240 225 215 220 198 311 300 326 298 205 205 Test at α = 0.05 the hypothesis that for the group, there was a statistically significant average decrease in weight from before diet treatment to 10 months after. Hint: This is hypothesis testing for paired samples. Here, you will use a paired t test.The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale). Student Sleep time GPA 1 7 3.28 2 9 3.16 3 8 3.75 4 6 2.50 5 4 2.45 6 8 2.91 7 7 3.53 8 6 3.02 9 3 2.30 10 8 3.48 a. Find the equation between GPA (y) as function of sleep time (x). b. What is the estimated GPA of a student who averages 5 hours of sleep per night? c. What is the coefficient of determination? *(no use EXCEL)
- A study carried out to investigate the distribution of totalbraking time (reaction time plus accelerator-to-brake movementtime, in ms) during real driving conditions at 60 km/hr gave the following summary information on the distributionof times (“A Field Study on Braking ResponsesDuring Driving,” Ergonomics, 1995: 1903–1910):mean 5 535 median 5 500 mode 5 500sd 5 96 minimum 5 220 maximum 5 9255th percentile 5 400 10th percentile 5 43090th percentile 5 640 95th percentile 5 720What can you conclude about the shape of a histogramof this data? Explain your reasoning.HIV/AIDS patients are regularly monitored for their CD4 counts in order to make sure that antiretroviral therapies are effectiveSuppose the distribution of CD4 counts in a population is approximately normal with mu = 237 and sigma = 43 . HIV patients are defined as moving into the AIDS stage of their disease course after their CD4 counts are less than 200. What proportion of patients in this population is suffering from AIDS?According to the U.S. Climate Data website, the average monthly rainfall totals (in inches) in San Diego, California for the months of July through December are shown in the Expected column of the table below. Assuming the significance level is p=0.95, what is the chi-square (χ2) critical value for one 6-month period? Does the data match the model? Month Observed(Inches) Expected(Inches) July 0.07 0.04 August 0.05 0.04 September 0.13 0.16 October 0.59 0.55 November 0.89 1.02 December 1.28 1.54 a The chi-square critical value is 1.15 and the data matches the model. b The chi-square critical value is 1.64 and the data matches the model. c The chi-square critical value is 1.15 and the data does not match the model. d The chi-square critical value is 1.64 and the data does not match the model.
- Stressed-Out Bus Drivers. Previous studies have shown that urban bus drivers have an extremely stressful job, and a large proportion of drivers retire prematurely with disabilities due to occupational stress. In the paper, “Hassles on the Job: A Study of a Job Intervention With Urban Bus Drivers” (Journal of Organizational Behavior, Vol. 20, pp. 199–208), G. Evans et al. examined the effects of an intervention program to improve the conditions of urban bus drivers.Amongother variables, the researchers monitored diastolic blood pressure of bus drivers in downtown Stockholm, Sweden. The data, in millimeters of mercury (mm Hg), on the WeissStats site are based on the blood pressures obtained prior to intervention for the 41 bus drivers in the study. Use the technology of your choice to do the following. a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data. b. Based on your results from part (a), can you reasonably apply the one-mean t-test to the…An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279) considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. A doctor would like to know if there is evidence that the success rate is greater for longer tears. The P-value for the test H0: p1 = p2 versus H1: p1 > p2 is closest to:The Road Department is trying to see whether they should buy road treatments ( in tons) for storms based on the number of inches of snow for each recorded. Use Pearson r at alpha- 0.05 to test the hypothesis. ILLUSTRATE THE NORMAL CURVE inches in snow 1.5 1.7 3.7 2.8 4.6 2.4 3.1 2.9 3.6 4.2 3.1 number of tons 805 905 1235 1000 1302 998 1102 1305 1456 1600 1005
- A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…An article in the Journal of Agricultural Science [“The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects” (1997, Vol. 128, pp. 135–142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the United Kingdom. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (ºC), and total monthly rainfall (mm). The following data below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows:15.2 14.2 14.0 12.2 14.4 12.514.3 14.2 13.5 11.8 15.2Assume that the standard deviation is known to be σ = 0.5.(a) Construct a 99% two-sided confidence interval on the mean temperature.(b) Construct a 95% lower-confidence bound on the mean temperature.(c) Suppose that you wanted to be 95% confident that the error in estimating the mean…The article “Withdrawal Strength of Threaded Nails” (D. Rammer, S. Winistorfer, and D. Bender, Journal of Structural Engineering 2001:442–449) describes an experiment comparing the ultimate withdrawal strengths (in N/mm) for several types of nails. For an annularly threaded nail with shank diameter 3.76 mm driven into spruce-pine-fir lumber, the ultimate withdrawal strength was modeled as lognormal with μ = 3.82 and σ = 0.219. For a helically threaded nail under the same conditions, the strength was modeled as lognormal with μ = 3.47 and σ = 0.272. a) What is the mean withdrawal strength for annularly threaded nails? b) What is the mean withdrawal strength for helically threaded nails? c) For which type of nail is it more probable that the withdrawal strength will be greater than 50 N/mm? d) What is the probability that a helically threaded nail will have a greater withdrawal strength than the median for annularly threaded nails? e) An experiment is performed in which withdrawal…