Construct a Fisher's Ideal Index from the following data and show that it satisfies time reversal and factor reversal tests : 2013. 2014 Items po P1 91 10 40 12 45 11 50 11 52 14 30 17 30 8 28 10 29 12 15 13 20 ABCDE
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- (a) What is the GINI index of the dataset? (b) What is the GINI index of the split on A1 and that on A2 respectively?A UPS efficiency expert is interested in finding out if the years of driving experience (EXP) can be used to predict the frequency of late deliveries (LATE). Here are the data (late deliveries are per 100 ): EXP ZEXP LATE ZLATE 16 0.49 8 0.43 19 1.34 10 1.45 15 0.21 7 -0.09 15 0.21 8 0.43 14 -0.07 6 -0.60 15 0.21 8 0.43 13 -0.35 5 -1.11 12 -0.64 5 -1.11 4 -2.90 3 -2.14 15 0.21 8 0.43 16 0.49 9 0.94 17 0.78 9 0.94 MEXP = 14.25 SDEXP = 3.54 MLATE= 7.17 SDLATE = 1.95 Use α = .05 for all decisions. Determine how many late deliveries (per 100) we would predict for a driver with 20 years of experience. No explanation is required – just report the predicted value as your final answer.Recent surveys have shown a decline in the percentage of U.S. households withcable TV. In one city, a simple random sample of 468 households had 117households reporting they had cable TV, and 351 households reporting they didnot.(a) Show the “plug-in” box to represent our best guess for the relative frequency ofpeople with and without cable. (Let 1 correspond to with cable and 0 without).(b) The percentage of households in the city with cable TV is estimated to be___________%, and this estimate is likely to be off by about ___________% or so.(c) A 90%-confidence interval for the percentage of households in the city withcable TV goes from ___________% to ___________%.
- The stemplot shows IQ scores that are consistent with the 2018 article "Flynn effect and its reversal are both environmentally caused." 88 2 42 4 88 6 7 7 8 9 9 96 7 7 8 9 9 9 99 0 0 0 1 2 2 2 40 0 0 1 2 2 2 4 99 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 95 5 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 9 1010 0 0 0 0 0 1 1 1 1 1 2 2 3 4 40 0 0 0 0 1 1 1 1 1 2 2 3 4 4 1010 5 5 5 5 5 6 6 6 7 7 8 8 8 9 95 5 5 5 5 6 6 6 7 7 8 8 8 9 9 1111 0 2 2 3 30 2 2 3 3 1111 5 5 6 6 85 5 6 6 8 1212 2 3 42 3 4 This distribution is very close to Normal with a mean of 100 and a standard deviation of 10. Use the Normal distribution with a mean of 100 and standard deviation of 10 as a description of the IQ scores of all adults. Use this distribution and the 68‑95‑99.7 rule to answer the questions. What percentage ?p of all students have IQ scores below 80? Give your answer as a percentage to one decimal place.The National Safety Council of the U.S. released the following data on the incidence rates for fatal or lost-worktime injuries per 100 employees for several industries in three recent years. Compute r for each pair of years and determine which years are most highly correlated. Calculate r using 1. the formula and 2. function. Industry Year 1 Year 2 Year 3 Textile 0.46 0.48 0.69 Chemical 0.52 0.62 0.63 Communication 0.9 0.72 0.81 Machinery 1.5 1.74 2.1 Services 2.89 2.03 2.46 Nonferrous metals 1.8 1.92 2 Food 3.29 3.18 3.17 Government 5.73 4.43 4 By formula By Function By formula By Function r1 r2 r3 Please provide a step by step of calculation in excelto give me an understaning on how to calculate in future Thank you in advanceMarine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. The point estimate for the true difference in proportion of dark growth bands between February and March is:
- Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01.Note: Do all calculations as February - March A) The point estimate for the true difference in proportion of dark growth bands between February and March is: I need help and webassign rejected the 0.0037 as the answer. I'm so lost. I emailed my professor and he hasn't gotten back to me. Please help. Thank you.Suppose researchers perform a two-tailed study and the following results are obtained.α=0.05t=2.44df=40Use the t-table to decide if there is a statistically significant difference between the data sets.
- The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013): Table: Economic Dynamism ($) of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions: (i) Determine sample mean x :i Determine sample mean x : Enter in decimal form to nearest ten-thousandth. Do not enter units of measure. Examples of correctly entered answers: 0.0015 0.0000 136.7000 99.0070 36.9128 (ii) Determine sample standard deviation s : Enter in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 0.0001…The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013). Table: Economic Dynamism of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level. (iv) Determine sample mean x :iv Determine sample mean x : Enter answer to nearest ten-thousandth, without "$" sign. Examples of correctly entered answers: 11.2385 0.0079 3.0500 7.4000 (v) Determine sample…The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013). Table: Economic Dynamism of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. μ < $60.29 B. p < $60.29 C. μ = $60.29 D. p = $60.29 Enter letter corresponding to correct answer (ii) Which of the following…
