Assume that the random variable X is normally distributed, with mean µ = 47 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.P(X ≤41)Which of the following shaded regions corresponds to P(X ≤ 41)?A.41 47P(X ≤41)=(Round to four decimal places as needed.)OB.41 470ⒸC.

It is given that the mean is 47 and the standard deviation is 7.

Answered: Assume that the random variable X is…

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 that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 80 | 7 b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph. d. 71% of all cars travel at least how fast on the freeway? mph. Hint:
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researcher wonders if the amount of sleep new parents get is associated with how grumpy they are. The researcher recruits a sample of 100 new parents and asks them (1) how many hours of sleep they are getting each night, (2) how many hours of sleep their baby is getting each night, and (3) how grumpy they 4 are on a scale from 0 (not at all grumpy) to 100 (very grumpy). They saved the results to a file called hwo_parenthood. cs. Load the data into jamovi and answer the following questions. 3. What is the value of the test statistic for each association? 4. What is the degrees of freedom for each association? 5. What is the precise p-value as reported by jamovi for each association? Make sure you report the value to at least three decimal places. 6. Which of the associations are significant?? 7. What is the direction of each association ? 8. What is the effect size for each association? Are they weak, moderate, or strong? 9. What does each of the associations mean in plain language?

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