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- Find the average rate of change for each function over the given interval. y=x between x=1 and x=4Reliability testing of the new 2.0 liter Chevy automotive engine has resulted in a time to failure distribution which is lognormal with = 90,000 mi. and s = 0.60. Find: med %3D a. R(40,000 mi.) b. MTTF and Std. Dev. c. R(90,000|40,000) d. t .90Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period if the temperatures (in degrees Celsius) recorded at 15-min intervals are 21, 21.4, 21.5, 21.9, 21.6, 21.3, 20.8, 20.6, 20.9, 21.2, 21.1, 21.3, 21.2. (Use decimal notation. Give your answer to three decimal places.) Tave °C
- Find the average temperature over the given intervalA large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders 721 = 575 n2 = 740 Number making claims = 115 Number making claims = 111 a. Use α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value p-value We can conclude (to 2 decimals) X (to 4 decimals) that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.Data from a 20-yr study show the number of new AIDS cases diagnosed among 20- to 24-yr-olds in the United States x years after the study began. a. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds increased. b. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds decreased. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model the data? Would the leading coefficient be positive or negative? e. How many years after the study began was the number of new AIDS cases among 20- to 24-yr-olds the greatest? f. What was the maximum number of new cases diagnosed in a single year? AIDS Diagnoses, 20- to 24-Yr-Olds United States, 1985–2005 3000 (8, 2648) 2500 2000 1500 1000 |(14, 1309) 500 5 10 15 20 Year Number Number of New Diagnoses
- Find the linear correlation coefficient for stride length versus speed of an adult man inTable 12.8a. Round your result to the nearest hundredth.The following scatterplot shows the mean annual carbon dioxide (CO,) in parts (CO2) per million (ppm) measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. f) View the accompanying scatterplot of the residuals vs. CO2. Does the scatterplot of the residuals vs. CO, show evidence of the violation of any assumptions behind the regression? 16.800 A. Yes, the outlier condition is violated. 16.725 O B. Yes, the linearity and equal variance assumptions are violated. 16.650 C. Yes, the equal variance assumption is violated. 16.575 O D. No, all assumptioris are okay. 16.500 O E. Yes, all the assumptions are violated. 325.0 337.5 350.0 362.5 CO2 (ppm) OF Yes, the linearity assumption is violated. his vear, What mean temperature doesA graph that plots averages of the DV measured from different replicates (instead of the individual DV values from each replicate)
- Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 75. The x-axis below the second line is labeled 110.O Assighmant Score! < Question 12 of 16 Of the many species of oak trees in the United States, 28 grow on the Atlantic Coast and 11 grow in California. The back-to-back stemplot displays data on the average volume of acorns (in cubic centimeters) for these 39 oak species. Atlantie Const 998643 0 | Callifornia Which of the following are correct comparisons of the 4. 88864211111 1 50 2 6640 3 06 06 distributions of acorn volumes for the Atlantic Coast and California? 8 4 1 5 86 I. Both distributions have similar variability. II. Both distributions have similar medians. 59 1 8 1 9 10 11 III. Both distributions have possible outliers. O I and III only Key: 26 = An oak species whose acorn volume is 2.6 cm. O II and III only 15 16 17 O II only O I only O III only 1 From the Electronic Encyclopedia of Statistics Examples and Exercises (EESEE) story "Acorn Size and Oak Tree Range."Let X denote the final depth of a crack on a railway, X~ N(5.496mm, 0.0672 mm²). What values of the final crack depth would be exceeded by only 5% of all cracks?