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- The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?Suppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2 + 0.7x. Use the Gini index to determine which of the two countries has greater inequality in its income distribution.Consider the following hypothesis test: Claim: σ ≠ 6.8Sample Size: n = 15Significance Level: α = 0.10 Enter the smallest critical value. (Round your answer to nearest thousandth.)
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- It was hypothesized that there will be a difference in the average test score in Chemistry class between high schoolers who watched Breaking Bad (Group 1) and high schoolers who did not watch Breaking Bad (Group 2). There are 8 students in each group and the researcher sets the alpha at .05. What is the critical t? Be sure to write the appropriate sign(s) (+, -, +/-) in front of the value.2.Areal estate company wants to study the relationship between Home price (in OMR 1000) and the following variables: Floor size (in 100 square feet) (X,). Type of Heating (X, 1. if electricity and X, =0, if Gas), Location of home (X= 1. if in town and X, = 0, if in village). Use this to answer the following questions: Then the critical value for testing Họ: Bo =0 against H Bo 0 at 5% level is A. +2.201 B. +1.812 C. 1.796 D. None E 12.228Q1 A) List down the measures of central tendency and measures of dispersion 2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of B) which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. C) The file contins the overall miles per gallon (MPG) OF 2010 family sedan: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source:…