In a study of schiozophrenia, researchers measured the activity of the enzyme monoamine oxidase (MAO) in the blood platelets of 18 patients. The results (expressed as nmoles benzylaldehyde product per 108 platelets) were as follows: 6.8 8.4 8.7 11.9 14.2 19.3 9.9 4.1 9.7 12.7 5.2 7.8 7.8 7.4 7.3 10.6 15.5 10.7
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- Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.In an experiment to determine the effect of ambient temperature on the emissons of oxides of nitrogen ( NOx ) of diesel trucks, 10 trucks were run at temperatures of 40°F and 80°F . The emissions, in parts per billion, are presented in the following table. Truck 40°F 80°F 1 926.5 896.7 2 851.1 857.0 3 975.5 952.1 4 1009.3 884.8 5 871.8 840.7 6 949.2 885.1 7 1006.3 885.5 8 836.5 777.8 9 837.8 850.2 10 958.9 882.1 Send data to Excel Let μ1 represent the mean emission at 40°F and =μd−μ1μ2 .Can you conclude that the mean emission differs between the two temperatures? Use the =α0.05 level of significance and the TI-84 Plus calculator to answer the following. p value ? do we reject? is there enough evidence :?Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the 5-number summary. 129 132 135 140 141 145 148 151 154 157 159 159 161 164 165 170 173 173 175 182 The 5-number summary is nothing, nothing, nothing, nothing, and nothing, all in mBq. (Use ascending order. Type integers or decimals. Do not round.)
- 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…How many hours of sleep do people get by listening to music? I record 10 subjects’ hours of sleep after they listen to 4 types of music: White noise, Rock, Pop, and Classical. For each music condition, they provide an average amount of hours of sleep they got for 1 week. Using the following data, test whether there is a significant difference in hours of sleep between types of music at an alpha of 0.01. Subject White noise Rock Pop Classical 1 5 5 7.5 9 2 9.5 6.5 7 9 3 7.5 6 7 10 4 8 6 7 8 5 8.5 5 6 8 6 6 5.5 7 10 7 7 6.5 9 9 8 8 5 5 9.5 9 8 6 7 8 10 8 7 7.5 7 What is the null hypothesis? _______________________ What is the alternative hypothesis? __________________ What is the critical F value? _________________How many hours of sleep do people get by listening to music? I record 10 subjects’ hours of sleep after they listen to 4 types of music: White noise, Rock, Pop, and Classical. For each music condition, they provide an average amount of hours of sleep they got for 1 week. Using the following data, test whether there is a significant difference in hours of sleep between types of music at an alpha of 0.01. Subject White noise Rock Pop Classical 1 5 5 7.5 9 2 9.5 6.5 7 9 3 7.5 6 7 10 4 8 6 7 8 5 8.5 5 6 8 6 6 5.5 7 10 7 7 6.5 9 9 8 8 5 5 9.5 9 8 6 7 8 10 8 7 7.5 7 Complete the ANOVA summary table: Source of Variation Sums of Squares df MS (Variance) F Between-groups Within-groups (error) Total What do we conclude? Using a bonferroni correction, run a post-hoc test on the type of music and…
- 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.Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the 5-number summary. 126 127 130 134 135 137 140 142 144 145 147 147 148 151 152 155 157 157 159 164 Question content area bottom Part 1 The 5-number summary is enter your response here, enter your response here, enter your response here, enter your response here, and enter your response here, all in mBq. (Use ascending order. Type integers or decimals. Do not round.)Consider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations: population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ] population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09] population3 = [ 17.12, 16.42, 16.43, 17.33] What is the standard error of the difference between the means of population 1 and population 2, needed to calculate the Tukey-Kramer q-statistic? What is the Tukey-Kramer q-statistic for populations 1 and 2? (Report the absolute value, if you get a negative number, multiply by -1)
- To evaluate the coagulation effects of three drugs, 30 healthy volunteers were randomly assigned into 3 groups and injected with different drugs. Their relevant coagulation times were measured as follows A(group=1): 36.8 34.4 34.3 35.7 33.2 31.1 34.3 29.8 35.4 31.2B(group=2): 40.0 35.5 36.7 39.3 40.1 36.8 33.4 38.3 38.4 39.8C(group=3): 32.9 37.9 30.5 31.1 34.7 37.6 40.2 38.1 32.4 35.6Questions: ① If you want to evaluate whether the coagulation effects of the three drugs are different, which method should be used? and what are the model assumptionsfor the application of this method?② Compare the difference of the coagulation effects among three drugs by SPSS,present the main results and make interpretation.③ Make pairwise comparisons of the efficacy of the three drugs, write out the method of pairwise comparison you adopted (just write one method) and the corresponding p-values.The article “Differences in Susceptibilities of Different Cell Lines to Bilirubin Damage” (K. Ngai, C. Yeung, and C. Leung, Journal of Paediatric Child Health, 2000:36–45) reports an investigation into the toxicity of bilirubin on several cell lines. Ten sets of human liver cells and 10 sets of mouse fibroblast cells were placed into solutions of bilirubin in albumin with a 1.4 bilirubin/albumin molar ratio for 24 hours. In the 10 sets of human liver cells, the average percentage of cells surviving was 53.9 with a standard deviation of 10.7. In the 10 sets of mouse fibroblast cells, the average percentage of cells surviving was 73.1 with a standard deviation of 9.1. Find a 98% confidence interval for the difference in survival percentages between the two cell lines.A deficiency of the trace element selenium in the diet can negatively impact growth, immunity, muscle and neuromuscular function, and fertility. The introduction of selenium supplements to dairy cows is justified when pastures have low selenium levels. Authors of the article “Effects of Short-Term Supplementation with Selenised Yeast on Milk Production and Composition of Lactating Cows” (Australian J. of Dairy Tech., 2004: 199–203) supplied the following data on milk selenium concentration (mg/L) for a sample of cows given a selenium supplement and a control sample given no supplement, both initially and after a 9-day period. Obs Init Se Init Cont Final Se Final Cont 1 11.4 9.1 138.3 9.3 2 9.6 8.7 104 8.8 3 10.1 9.7 96.4 8.8 4 8.5 10.8 89 10.1 5 10.3 10.9 88 9.6 6 10.6 10.6 103.8 8.6 7 11.8 10.1 147.3 10.4 8 9.8 12.3 97.1 12.4 9 10.9 8.8 172.6 9.3 10 10.3…