Use Kurtosis to analyze the given data below:
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- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?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)The following observations are obtained from a random sample of 10 individuals: Individual x y 1 9.63 5.06 2 4.80 3.20 3 6.84 4.48 4 10.2 5.62 5 8.81 4.13 6 10.4 5.55 7 4.19 3.35 8 8.21 5.77 9 7.97 4.81 10 9.11 5.64 Run a t-linear regression test on this data. (HINT: make sure you copy the numbers correctly!) What are the appropriate null and alternative hypotheses? H0:r=0H1:r<0H0:r=0H1:r<0 H0:r=0H1:r≠0H0:r=0H1:r≠0 H0:ρ=0H1:ρ<0H0:ρ=0H1:ρ<0 H0:r=0H1:r>0H0:r=0H1:r>0 H0:ρ=0H1:ρ≠0H0:ρ=0H1:ρ≠0 H0:ρ=0H1:ρ>0H0:ρ=0H1:ρ>0 What is the correlation coefficient? Round to 4 decimals. What is the coefficient of determination? Round to 4 decimals. Calculate the value of the test statistic. Round your response to at least 2 decimal places. |t||t|= What is the corresponding P-value for the test…
- 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.)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 :?A researcher wishes to study the relationship between education and income separately for individuals who have college degrees, and for those who don't. To this end, he interviews 100 individuals in each category. Survey results are listed in the table below. non college graduates college graduates avg education 13 yr 18 yr std. dev. education 2 yr 1.2 yr Sxx 396 yr2 143 yr2 Avg. Income $67,200 $84,950 std. dev. income $9,400 $10,500 correlation coefficient .25 .15 a. Use the data above to find point estimates for regression coefficients B0NG and B1NG for non-college graduates and BoG and B1G for college graduates. b. Propose an unbiased estimator for the difference theta=B1G - B1NG in slope coefficients for the two sub-populations, and show that B(theta hat)= 0. c. Assume that the error terms ENG and EG for non-graduates and graduates, respectively, are both distributed normally, with known standard deviation oENG = oEG = $ 10,000. In that case, determine the…
- In an ongoing nationwide survey, a question asked is whether a respondent favors or opposes capital punishment (the death penalty) for persons convicted of murder. The output for this exercise compares the proportions who said that they were opposed to the death penalty in the year 2008 and the year 1993. Sample X N Sample p 2008 637 1912 0.333 1993 333 1418 0.235 Estimate for p(1) − p(2): 0.098 95% CI for p(1) − p(2): (0.068, 0.129) (a) What proportion of the year 2008 sample was opposed to the death penalty? (Round your answer to three decimal places.) What proportion of the year 1993 sample was opposed? (Round your answer to three decimal places.) (b) What is the estimated difference between the proportions opposed to the death penalty in the 2 years? (Use p2008 − p1993. Round your answer to three decimal places.) (c) Write the 95% confidence interval as it is given in the output. to Interpret this interval in the context of this situation. There is a…A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category. Current Smoker (≥1pack/day) Current Smoker (<1 pack/day Never Smoked 26.7 29.4 22.1 29.4 28.6 30.4 24.3 27.4 21.3 28.4 23.2 26.4 21.6 20.1 19.7 27.4 20.6 19.8 26.8 19.7 21.6 36.4 19.6 22.3 31.5 21.6 24.3 27.4 21.5 *Continue as though all assumptions for ANOVA are met. A) Calculate the MSW and MSB for the data represented above. B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.rofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…
- An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 2 3 4 5 6 7 8 9 10 Age 0 0 2 11 7 16 9 0 12 4 Baseline 1.70 4.38 4.06 1.24 5.29 0.59 3.35 3.45 0.73 1.22 Reformulated 1.86 5.91 5.51 2.70 6.50 0.71 4.95 4.86 0.72 1.41 Construct scatter plots of the baseline NOx emissions versus age. What appears to be the nature of the relationship between these two variables? There is no compelling relationship between the data. As age increases, emissions also increase. As age increases, emissions decrease.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.)A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures taken at rest were measured, in millimeters, for a sample of 15 adults. The following table presents the results. Systolic 134 115 113 123 119 118 130 116 133 112 107 110 105 157 154 Diastolic 87 83 77 77 69 88 76 70 91 75 71 74 66 103 94 Below is a scatterplot of the data set. (a) Suppose we want to use systolic blood pressure to predict diastolic blood pressure. The explanatory variable is diaslostic blood pressure and the response variable is systolic blood pressure. (b) Describe the form, direction, and strength of the relationship: Form (Linear or Non-Linear) Linear Direction (Positive or Negative) Positive Strength (Weak or Moderate or Strong) Moderate (c) Find the value of the correlation…
