You may need to use the appropriate appendix table to answer this question.Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)(a) The area to the left of z is 0.9750.|-1.96(b) The area between 0 and z is 0.4750.1.96(c) The area to the left of z is 0.7324.0.62(d) The area to the right of z is 0.1190.1.18(e) The area to the left of z is 0.7454.0.69(f) The area to the right of z is 0.2546..66

The normal distribution in the center are generally denser and basically less denser at tails.…

Answered: You may need to use the appropriate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). 21.0 15.1 19.0 17.6 17.5 15.5 14.7 17.1 y 87.8 71.4 94.1 84.7 81.4 75.2 69.7 82.0 15.4 16.2 15.0 17.2 16.0 17.0 14.4 69.4 83.3 79.6 82.6 80.6 83.5 76.3 Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.) %3D X = y = + %3D Find the value of the coefficient of determination r. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to four decimal places. Round your…
Find the variance of x or the number of cups of coffee. (Do not round intermediate steps but round your final answer to 4 decimal places)
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Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(Zsc)=0.8888 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Part 2 Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.338 0.306 0.340 0.248 0.367 0.269 y 3.5 7.7 4.0 8.6 3.1 11.1 Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901. Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517. (a) Find the predicted percentage of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.) %(b) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.) lower limit % upper limit %
ASK YOUR TEACHER Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 14 7 10 11 12 19 14 11 9 8 23 19 13 7 10 7 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 11%; H,: µ 11%; right-tailed O Ho: H + 11%; H,: u = 11%; two-tailed O Ho: H = 11%; H,: u + 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your…
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