8. Suppose Z follows the standard normal distributionRound your responses to at least 3 decimal placesa) P(Z ≤ 2.11 ) =b) P(Z >2.11) =c) P(0.55

Z follows standard normal distribution .

Answered: 8. Suppose Z follows the standard…

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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bquisha Jackson Stats RM Bell Ringer 2nd peñiod 01/07/22 11 1. What is the total area under the curve for a standard normal distribution? 2. In a standard normal distribution, what percentage of the area falls below the mean? 3. In a standard normal distribution, what percentage of the area under the curve falls within 1 standard deviation of the mean? What percentage of the area falls within 2 standard deviations of the mean? 34D.3413 4. Assuming a standard normal distribution, what is the area under the curve between the mean and the z-value of 2.24? 5. Assuming a standard normal distribution, what is the area under the curve above the z-value of 1.34? 6. Assuming a siandard normal distribution, what is the area under the curve that is between -1.36and + 1.42 z-values away from the mean? 7. Assuming a standard normal distribution, what is the area under the curve that is above 1.28 /z-values away from the mean? 3997 1.28
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 2 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N( b. What is the median recovery time? days c. What is the Z-score for a patient that took 4.3 days to recover? d. What is the probability of spending more than 2.1 days in recovery? e. What is the probability of spending between 3.1 and 4.1 days in recovery? f. The 85th percentile for recovery times is days.
Suppose an x distribution has mean μ = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 2.5) smaller? Explain your answer. The distribution with n = 49 because the standard deviation will be smaller.The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger. (c) For which x distribution is P(1.5 < x < 2.5) greater? Explain your answer. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be…
3. If Z is a random variable having the standard normal distribution, find i. P(Z - 1.08) iii. P(-1.90
The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 17, 16, 14, 16, 14, 15, 16, 15, 14, 14, 13, 15, 17 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? vSelect an answer v H: ? v Select an answer v c. The test statistic ? v: (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean wait time for men who wear a tie is not significantly more than 15 at a = 0.05, so there is…
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.9 days in recovery? e. What is the probability of spending between 2.4 and 3.3 days in recovery? f. The 85th percentile for recovery times is days. PLEASE ANSWERR ALLL QUESTIONS!! PLEASE STOP JUST ANSWERING 3 !!!
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.7 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4.2 days to recover? d. What is the probability of spending more than 3.3 days in recovery? e. What is the probability of spending between 3.4 and 4.1 days in recovery? f. The 90th percentile for recovery times is days.
Suppose X is normally distributed with mean 50 and standard deviation 4, what is P(45 < X < 58) ? 0.4332 0.0828 0.8716 0.8276
6. The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.4 minutes. 12 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X? X ~ N(?,?) What is the distribution of x¯? x¯ ~ N(?,?) What is the distribution of ∑x? ∑x ~ N(?,?) If one randomly selected runner is timed, find the probability that this runner's time will be between 23.6608 and 24.4608 minutes? For the 12 runners, find the probability that their average time is between 23.6608 and 24.4608 minutes? Find the probability that the randomly selected 12 person team will have a total time less than 277.2? For part e) and f), is the assumption of normal necessary? Yes or No The top 20% of all 12 person team relay races will compete in the championship round. These are the 20% lowest times. What is the longest total time that a relay team can have and still make it to the championship…
Suppose X is normally distributed with mean 20 and standard deviation 4, find the value x0 such that P(X ≥ x0) = 0.975. -27.84 -12.16 27.84 12.16

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8. Suppose Z follows the standard normal distribution Round your responses to at least 3 decimal places a) P(Z ≤ 2.11) = b) P(Z >2.11) = c) P(0.55