24. The probability that a river flow exceeds 2000 m3/sec is 15%. The coefficient of variation of these flows is 20%. Assuming a normal distribution, calculate: A-The mean of the flow? B- The stand. Dev. of the flow?
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![Q4.
The probability that a river flow exceeds 2000 m3/sec is 15%. The coefficient of
variation of these flows is 20%. Assuming a normal distribution, calculate:
A-The mean of the flow?
B- The stand. Dev. of the flow?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F618921a8-0477-4b8e-84ab-87405d06440a%2Fbdefc217-dfe2-41cb-96b3-2331175c2f13%2Fyhmp5kh_processed.jpeg&w=3840&q=75)
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- The distribution of the variable X, representing the average time to failure for an automobile battery,can be written as: X∼Exp(m). Describe this distribution in words.Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 14,19,16,14,19,19,14,21,17,17,14,17 Give the p-value and interpret the results. a) p = 0.0012; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. b) p = 0.0012; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0023; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. d) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and…Which proportion of a normal distribution is located bwteen z = --1.75 and z = +1.75?
- A national caterer determined that 87% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population 5000. The 144 people are asked to sample the caterer`s food. Will the distribution of pˆ,the sample proportion saying that the food is delicious, be approximately normal?Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,17,20,17,17,14,16,21,15,21,15,22 Give the p-value and interpret the results. a) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0003; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = 0.0003; Based on 5% significance level, I will reject the…Sketch the normal curve having the parameters a. µ = -1 and σ = 2.b. µ = 3 and σ = 2.c. µ = -1 and σ = 0.5.
- You want to conduct a study on the proportion of Penn State students who miss class when it is raining. Suppose here is the data you collect for students who live on-campus versus students who live off-campus: Never Miss Sometimes Miss Always Miss On-Campus 20 12 13 Off-Campus 45 14 22 a. For on-campus students (only), estimate the true difference in proportions for those who never miss class versus those who always miss class, when it is raining. Place a bound on the error of estimation. b. Estimate the true difference between the proportions of on-campus students who always miss class versus the proportion of off-campus students who always miss class, when it is raining. Place a bound on the error of estimation.The following table gives the mean velocity of planets in their orbits versus their mean distance from the sun. Note that 1 AU (astronomical unit) is the mean distance from Earth to the sun, about 93 million miles. Planet d = distance (AU) v = velocity (km/sec) Mercury 0.39 47.4 Venus 0.72 35.0 Earth 1 29.8 Mars 1.52 24.1 Jupiter 5.20 13.1 Saturn 9.58 9.7 Uranus 19.20 6.8 Neptune 30.05 5.4 Astronomers tell us that it is reasonable to model these data with a power function. (a) Use power regression to express velocity as a power function of distance from the sun. (Round regression parameters to two decimal places.) V = 21.41 x d -0.50 V = 21.41 x d-0.29 ° v = 29.73 x d¬0.50 V = 29.73 x d-0.73 v = 29.73 x d0.50 (b) Plot the data along with the regression equation. v V 50 50 H 50 50H 40 40 40 40 30 30 30 30 20 20 20 20- 10 10 10 10 d 10 15 20 25 30 d d 5 10 15 20 25 30 5 10 15 20 25 30 5 10 15 20 25 30 (c) An asteroid orbits at a mean distance of 3 AU from the sun. According to the power…Solve #22 using applications of normal distribution
- A chi square test tells us: a. Whether two continuous variables are correlated with each other. b. Whether two discrete variables are independent of each other c. The amount of variation in one variable explained by the other d. Which categories of one variable are associated with which categories of the other variableResearchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are given in the table below. Assume the distribution to be approximately normal. Do carpeted rooms have more bacteria than uncarpeted rooms? Carpeted Rooms Uncarpeted Rooms 11.7 12.0 8.2 8.3 7.1 3.8 13.1 7.3 10.6 12.0 10.1 11.1 14.8 10.3 14.0 13.7 What is the critical value(s) for this hypothesis test if group 1 is the carpeted rooms and group 2 is the uncarpeted rooms. 1.895 2.306 2.365 1.833 1.860Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 Sample mean for Car 2 x= 245 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) times on each car and records the number of miles driven. Full data set Car 1 Median for Car 1 M= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Car 2 Median for Car 2 230 242 M=O mi / 10 gal 206 214 236 256 245 255 241 264 (Type an integer or decimal rounded to one decimal place as needed.) 276 252 250 251 257
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