Rejett tiE TNUI TiypOLITESIS, there iS insUImcIent EViuence thIal p umerS TTONT O.Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0.O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0.(c) Verify that S 1.5542, a = 25.856, and b -63.740.e1.5542Sea -63.74b 25.85(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.)(e) Find a 99% confidence interval for y when x =0.33. (Use 2 decimal places.)lower limitupper limit(f) Use a 5% level of significance to test the claim that B # 0. (Use 2 decimal places.)tcritical t +ConclusionReject the null hypothesis, there is sufficient evidence that ß differs from 0.Reject the null hypothesis, there is insufficient evidence that B differs from 0.Fail to reject the null hypothesis, there is insufficient evidence that B differs from 0.O Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0.(g) Find a 99% confidence interval for ß and interpret its meaning. (Use 2 decimal places.)lower limitupper limitInterpretationFor every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidence interval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval.For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval. MY NOTESASK YOUR TEACHERPRACTICE ANOTHERLet 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 = 6professional baseball players gave the following information.0.3340.2860.3400.2480.3673.10.269y3.47.44.08.611.1(a) Verify that Ex = 1.844, Ey = 37.6, Ex = 0.577506, Ey = 289.1, Exy = 10.8684, and r -0.905.%3D%3D%3DEx 1.844Ey 37.6Ex2 0.577506Ey2 289.1Exy 10.8684r-0.905(b) Use a 5% level of significance to test the claim that p # 0. (Use 2 decimal places.)t-4.25critical t +2.78ConclusionReject the null hypothesis, there is sufficient evidence that p differs from 0.O Reject the null hypothesis, there is insufficient evidence that p differs from 0.Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0.O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0.(c) Verify that S 1.5542, a - 25.856, and b -63.740.S 1.5542ea-63.74b 25.85(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.)%(e) Find a 99% confidence interval for y when x = 0.33. (Use 2 decimal places.)lower limit%upper limit%(f) Use a 5% level of significance to test the claim that ß # 0. (Use 2 decimal places.)critical t +

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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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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 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1 Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874. (d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)%(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ±
Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly selected, what is the probability that the subject is not lying? Is the result close to the probability of 0.4450.445 for a negative test result? Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results 1717 4444 Negative test results 3535 1414 The probability that a randomly selected polygraph test subject was not lying is nothing. (Type an integer or decimal rounded to three decimal places as needed.) Is the result close to the probability, rounded to three decimal places, of 0.445 for a negative test result?
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is nomally distributed. 0.191 0.184 0.199 0.197 0.209 0.220 0.233 0.248 0.253 0.270 0 288 0.300 0.309 0.302 0.303 0.318 Click here to view the table of critical values. Cick here to view.page 1 of the standard normal distribution table. Click hece to view. paon 2 of the standard.notmal distribution table. Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the corect choice below and fil in the answer boxes within your choice. (Round to three decimal places as needed.) OA. No. The correlation between the expected z-ncores and the observed data, does not exceed the oritical value, Therofore, it is not reasonable to conclude that the data come from a normal population. OB. Yes. The correlation…
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 0.336 0.296 0.340 0.248 0.367 0.269 y 3.2 7.5 4.0 8.6 3.1 11.1 (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t critical t ± (d) Find the predicted percentage of strikeouts for a player with an x = 0.288 batting average. (Use 2 decimal places.) %(e) Find a 95% confidence interval for y when x = 0.288. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ± (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit please show steps and work
Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.7054? A.-0.54 B.1.54 C.0.54 D.-1.54
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 67 70 69 81 65 86 y 51 54 45 56 50 49 Given that ∑x = 438, ∑y = 305, ∑x2 = 32,332, ∑y2 = 15,579, ∑xy = 22,302, and r = 0.226, find the P-value for a test claiming that ρ is greater than zero. 0.25 > P-value > 0.10 0.10 > P-value > 0.05 0.40 > P-value > 0.25 P-value < 0.0005 P-value > 0.40X
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 93 87 81 103 101 111 83 89 The sample mean is x = 93.5. Let x be a random variable representing glucose eadings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate hat Gentle Ben has an overall average glucose level higher than 85? Use = 0.05. (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 = 85; H1: µ 85; right-tailed O Ho: H > 85; H1: µ = 85; right-tailed O Ho: H = 85; H1: µ ± 85; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution with…
Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 2.5%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is ? = 4.9%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.9%? Use ? = 0.01. (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) ?Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.)
The general philosophy of standardizing is that standardizing a random variable involves a. Subtracting the main in the batting by the standard deviation b. Dividing the standard deviation of the total of successes by the total of trials c. Adding and subtracting standard deviations in each direction d. Subtracting the area in the right tail from 1 since the Z chart gives only the area "to the left"
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 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1 Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874. (e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.163 0.182 0.194 0.211 0.224 0.225 0.233 0.243 0.251 0.259 0.271 0.273 0.295 0.307 0.317 0.340 Click here to view the table of critical values for normal probability plots. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) A. No. The correlation between the expected z-scores and the observed data, normal population. does not exceed the critical value, Therefore, it is not reasonable to conclude that the data come from…
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 73 84 88 63 76 85 y 46 45 55 41 51 53 Given that 3.755, a*13.677, b*0.445, x 78.167, Ex=469, y = 291, Ex² = 37,099, and y² = 14,257, find a 90% confidence interval for y when x=79. tc = 2.132 O between 40.9 and 56.9 O between 40.2 and 57.5 O between 40.1 and 57.6 O between 39.9 and 57.8 O between 40.4 and 57.4

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