Let X be normally distributed with mean μ = 136and standard deviation o = 34.a. Find P(X ≤ 100). (Round your final answer to 4decimal places.)P(X ≤ 100)b. Find P(95 ≤X ≤110). (Round your final answerto 4 decimal places.)P(95 ≤ x ≤ 110)c. Find x such that P(X ≤ x) = 0.450. (Round yourfinal answer to 3 decimal places.)Xd. Find x such that P(X> x) = 0.850. (Round yourfinal answer to 3 decimal places.)X

The provided information is as follows:The is a random variable with normally distributed.The mean…

Answered: Let X be normally distributed with mean…

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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Suppose X~N(177,17) and Z~N(0,1). If z = 0.75, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 34 25 43 34 28 37 31 The sample mean is x ≈ 33.1 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (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? H0: μ = 28 ml/kg; H1: μ > 28 ml/kg; right-tailed H0: μ = 28 ml/kg; H1: μ ≠ 28 ml/kg; two-tailed H0: μ ≠ 28 ml/kg; H1: μ = 28 ml/kg; two-tailed H0: μ = 28 ml/kg; H1: μ < 28 ml/kg;…
K A company is developing a new high performance wax for cross country ski racing. In order to justify the price marketing wants, the wax needs to be very fast. Specifically, the mean time to finish their standard test course should be less than 55 seconds for a former Olympic champion. To test it, the champion will ski the course 8 times. The champion's times (selected at random) are 54.9, 63.7, 48.1, 53.9, 49.3, 47.4, 53.7, and 44.9 seconds to complete the test course. Should they market the wax? Assume the assumptions and conditions for appropriate hypothesis testing are met for the sample. Use 0.05 as the P-value cutoff level. Choose the correct null and alternative hypotheses below. Ο A. Ho:μ = 55 HAH55 Calculate the test statistic. ... t= OB. Ho:μ>55 HA:μ = 55 OD. Ho:μ<55 HAH=55 (Round to three decimal places as needed.) Calculate the P-value. P-value= (Round to four decimal places as needed.) Choose the correct clusion below. A. No, do not market the wax as there is insufficient…
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 33 24 41 36 31 38 28 The sample mean is x ≈ 33.0 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 33 26 42 34 28 35 31 The sample mean is x ≈ 32.7 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
The graph shows the distribution of the number of text Which statement describes the distribution? messages young adults send per day. The distribution is approximately Normal, with a Daily Text Messaging mean of 128 messages and a standard deviation of 98 messages. O The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages. O The distribution is approximately Normal, with a mean of 30 messages and a standard deviation of 128 messages. O The distribution is uniform, with a mean of 128 messages and a standard deviation of 30 messages. 8. 38 68 98 128 158 188 218 248 Number of Texts
Now use the binomial formulas below to find the mean and standard deviation when n = 5 and p = 0.02.

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Let X be normally distributed with mean μ = 136 and standard deviation o = 34. a. Find P(X ≤ 100). (Round your final answer to 4 decimal places.) P(X ≤ 100) b. Find P(95 ≤X ≤110). (Round your final answer to 4 decimal places.) P(95 ≤ x ≤ 110)