The means and standard deviations are given in the data table. With a correlation of 0.826, calculate the slope and explain what the slope tell you in the context of this problem. Calculate the intercept and explain what the intercept tell you in the context of this problem. For the individual with dose = 2.02, what is the predicted AZT concentration and what is the residual?
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- A study published by Babcock and Marks (2010) showed that the average full-time U.S. college student studied for μ = 14 hours per week (SD = 4.8 hours per week) in 2005. We want to know if this average has changed in the past 15 years. In other words, we are going to do a study in which we try to determine whether there has been an impact of the passage of time on the amount of time college students spend studying. We selected a sample of n = 64 of today’s college students and find that they spent an average of M = 12.5 hours per week studying. Does this sample indicate a significant change in the number of hours spent studying? Use a two-tailed test (this means non-directional hypothesis) with α = .05.The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65-74 years: n = 115, x = 12.7, and s = 6.84. Does this data indicate that average daily zinc intake in the population of all males age 65-74 falls below the recommended allowance? (Use a = :0.05.)Riboflavin (Vitamin B2) is determined in a cereal sample by measuring its fluorescence intensity(형광세기) in 5% acetic acid solution. A calibration curve was prepared by measuring the fluorescence intensities of a series of standards of increasing concentrations. The following data were obtained. Riboflavin (μg/mL) 0.000 0.100 0.200 0.400 0.800 Unknown sample Fluorescence intensity 0.0 5.8 12.2 22.3 43.3 15.4 (a) Use the method of least squares to obtain the best straight line through these five points (n=5). (b) Make a graph showing the experimental data and the calculated straight line. (c) An unknown sample gave an observed fluorescence intensity of 15.4. Calculate the concentration of Riboflavin (Vitamin B2) in the unknown sample (μg/mL). (d) Calculate the coefficient of determination (R2).
- A sample of 10 diesel trucks were run both hot and cold to estimate the difference in fuel economy. The results, in mpg. are presented in the following table. (From "In-use Emissions from Heavy-Duty Diesel Vehicles," J. Yanowitz, Ph.D. thesis, Colorado School of Mines, 2001.) Truck Hot Cold 4.56 4.26 2 4.46 4.08 3 6.49 5.83 5.37 4.96 5 6.25 5.87 6 5.90 5.32 4.12 3.92 8 3.85 3.69 4.15 3.74 10 4.69 4.19 Find a 98% confidence interval for the difference in mean fuel mileage between hot and cold engines.A study of the effect of caffeine on muscle metabolism used eighteen male volunteers who each underwent arm exercise tests. Nine of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to O2 consumed and is an indicator of whether energy is being obtained from carbohydrates or fats). Does the data provide evidence that caffeine does, on average, reduce RER? Placebo Caffeine 104 96 119 100 100 94 97 89 98 96 103 93 94 89 95 105 98 88 Mean 100.89 94.44 Variance 57.11 31.28A study of the effect of caffeine on muscle metabolism used eighteen male volunteers who each underwent arm exercise tests. Nine of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to O2 consumed and is an indicator of whether energy is being obtained from carbohydrates or fats). The question of interest to the experimenter was whether, on average, caffeine changes RER. The two populations being compared are “men who have not taken caffeine” and “men who have taken caffeine” the results were as follows: Develop the hypothesis, Do the test Write the result of the hypothesis
- A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.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?A study of the effect of caffeine on muscle metabolism used 24 male volunteers who each underwent arm exercise tests. 12 of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to O2 consumed and is an indicator of whether energy is being obtained from carbohydrates or fats). The question of interest to the experimenter was whether, on average, caffeine changes RER. Data is in: Placebo Caffeine 105 96 119 99 100 94 97 89 96 96 101 93 94 88 95 105 98 88 95 90 103 97 102 92 Construct a hypothesis test that detect whether there is difference in RER between two groups at .05 significant level (show steps) Construct a hypothesis test that detect whether Caffeine reduces RER compared to placebo at .05…
- The state of California is working very hard to ensure that all elementary age students whose native language is not English become proficient in English by the sixth grade. Their progress is monitored each year using the California English Language Development test. The results for two school districts in southern California for the 2003 school year are given in the accompanying table.7 Do the data indicate a significant difference in the 2003 proportions of students who are fluent in English for the two districts? Use α = .01.The result below gives the amount (mg/mL) of ephedrine hydrochloride found in pharmaceutical preparations of Ephedrine Elixir B.P. by two different methods: derivative ultraviolet spectroscopy and an official assay method (the nominal amount in each sample was 3 mg/mL). Test whether the results obtained by the two methods differ significantly.K Iron is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron were developed by an institute of medicine for a certain region. The recommended dietary allowance (RDA) of iron for adult females under the age of 51 years is 19 milligrams (mg) per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 years are, on average, getting more than the RDA of 19 mg of iron per day. Complete parts (a) through (c). a. Determine the null hypothesis. Hou mg (Type an integer or a decimal. Do not round.) b. Determine the alternative hypothesis. Ha: H mg (Type an integer or a decimal. Do not round.) c. Classify the hypothesis test as two tailed, left tailed, or right tailed. The hypothesis test is specified value Ho. because the test is deciding whether the population mean is Time Remaining: 01:48:24 the Next