The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions isnormally distributed with standard deviation 21.25 minutes, complete parts (a) through (f)Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).(b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 97 minutes?The probability that the mean of a random sample of 6 time intervals is more than 97 minutes is approximately(Round to four decimal places as needed)(c) What is the probability that a random sample of 13 time intervals between eruptions has a mean longer than 97 minutes?The probability that the mean of a random sample of 13 time intervals is more than 97 minutes is approximately(Round to four decimal places as needed)(d) What effect does increasing the sample size have on the probability? Provide an explanation for this resultIf the sample size increases, the probabilitybecause the variability in the sample mean(e)What might you conclude if a random sample of 13 time intervals between eruptions has a mean longer than 97 minutes? Select all that apply.A. The population mean is probably greater than 85 minutesB. The population mean is probably less than 85 minutesC. The population mean must be less than 85 minutes, since the probability is so lowD. The population mean is 85 minutes, and this is just a rare sampling.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question 8 Using the standard normal distribution, find the two z-scores that that form the middle shaded region. The shaded region is symmetric about z = 0. Round your z-scores to two decimal places. Shaded Area = 0.22 4 -3 -2 -1 Negative z-score = Positive z-score = Submit Question APR 19 W
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A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 18 years. To test the company's claim, a competitor has selected 56 of these batteries at random. The mean lifetime of the sample is 18.9 years. Suppose the population standard deviation of these lifetimes is known to be 4.8 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 18 years? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: 0 O
Systolic blood pressure readings are normally distributed with a mean of 121 and standard deviation of 15. If a person from the population was selected at random, find the probability that their blood pressure is in the acceptable range (between 114 and 140) for an athletic activity. A. Label and shade the normal distribution curve to model this problem.
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Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean 194.55 standard deviation 94.78 X X (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) 0.6576 X (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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One number in the following series does not fit in with the pattern set by the others. What should that number be? 1/16, 1/6, 1/4, 1/2, 1, 2 . ASK is the opposite of entreat crave demand appeal deny When wire is selling at $.0125 a foot, how many feet can you buy for $1.00? In printing an article of 21,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,200 words. Using the smaller type, a page contains 1,500 words. The article is allotted 16 full pages in a magazine. How many pages must be in the larger type? Two of the following proverbs have similar meanings. Which ones are they? Mothers' darlings make but milksop heroes. Still water runs deep. Mother knows best Wide will wear but narrow will tear. As a twig in bent. so is the tree inclined For $4.50, a grocer buys a case of fruit which contains 14 dozen. She knows that four dozen will spoil before she sells them. At what price per dozen must she sell the…
Some students paid a private tutor to help them improve their results on a certain mathematical test. These students had a mean change in score of + 18 points, with a standard deviation of 68 points. In a random sample of 100 students who pay a private tutor to help them improve their results, what is the likelihood that the change in the sample mean score is less than 10 points? Click the icon to view the table of normal curve areas. Normal Curve Areas P(x< 10) = (Round to three decimal places as needed.) 0. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0000 .0398 .0793 .1179 .1554 .1915 .0 .1 .0040 .0438 .0080 .0478 .0871 1255 .0160 .0557 .0948 .1331 .1700 2054 .0120 .0517 .0199 .0596 0987 1368 .1736 2088 .0239 .0636 1026 .1406 1772 2123 0279 .0675 1064 1443 1808 2157 .0319 0714 .1103 1480 1844 2190 0359 .0753 1141 1517 1879 2224 .2 .3 .0832 .1217 .1591 1950 .0910 1293 1664 1628 .5 .1985 2019 .2257 .2580 .2881 .3159 3413 2291 2611 .6 .7 .8 .9 1.0 2324 2642 2939 3212 3461 2357 2673 2967…
Hi, I have the answers for A and B, I just need help finding Part C. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 54 feet. We randomly sample 49 fly balls. Part (a) If X =average distance in feet for 49 fly balls, then give the distribution of X-n(254, 7.71) Round your standard deviation to two decimal places. Part (b) What is the probability that the 49 balls traveled an average of less than 242 feet? .0606 (Round your answer to four decimal places.) Part (c) Find the 60th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)
Exam scores on last year's Data Analysis final were normally distributed, with a mean (µ) of 67 and a standard deviation (o) of 12. If you took a random sample of the 36 students from last year's data analysis class final exam, what is the probability that the mean of their scores was greater than 70? 0.4013 0.4332 0.0668 0.0987
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