Using the standard normal distribution table, compute the following probabilities P(Z 21.92) is: O.4938 .0603 .0013 .0274
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Q: (a) P(Z ≤ 1.56) = [ −1.18) = 0 (c) P (0.90 < Z < 2.16) =
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- Find the following probabilities using the standard normal distribution. [(Diagram required). Normal table is available on Moodle course page]. a) P( z > 2.63) b) b) P(1.39 < z < 2.47)Find the following probabilities using the standard normal distribution (i.e. the Z-table). Do NOT round values from the table. Report answers to 4 decimal places. a) P(z > 0.81) b) P(-2.81 < z < -1.14)Compute the following probabilities for the standard normal distribution Z. A. P(0 -1.2)=
- Find the following probability for the standard normal random variable z. a. P(z=2) e. P(-2≤z≤2) b. P(z ≤2) f. P(-1≤z≤1) c. P(Z 2) h. P(-0.35Given that z is the standard normal random variable, sketch the appropriate figure that accompanies each probability (complete with the appropriate shading to represent the probability), and compute the following probabilities: a. P[Z 1.03]Evaluate the following probabilities based on the standard normal distribution: Round all answers to at least 3 decimal places. a. P(z 1.2) = c. P(-0.04 1.07) =Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with o = 2.4%. 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 x = 5.38%. Suppose that for the entire stock market, the mean dividend yield is u = 4.8%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.8%? 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? Ho: H = 4.8%; H1: µ ± 4.8%; two-tailed Ho: H = 4.8%; H1: µ > 4.8%; right-tailed Ho: H = 4.8%; H1: µ 4.8%; H1: µ = 4.8%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n is large with unknown o. The Student's t, since we assume that x has a normal distribution with known o. The standard normal, since…Compute the following probabilities for the standard normal distribution ?Z. C. ?(?>−1.4)P(Z>−1.4)=Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z ≤ 2.14) = 0 (b) P(Z > 1.29) = 0 X 6 (c) P(-0.94Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at ledecimal places.(a) P(Z ≤ -0.97) = 0(b) P(Z > 1.98) = 0(c) P(-0.97 Z-2.15) =ContinueXSave For LaterSuppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. 0 (a) P(Z > −1.23) = = (b) P (Z ≤ 1.33) = (c) P(-1.00 < Z < 2.17) = [ SGiven that z is a standard normal random variable, compute the following probabilities (to 4 decimals). a. P(-1.98 < z< 0.49) b. P(0.58SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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