A population of values has a normal distribution with M=111.8 and O=72 You intend to draw a random sample of size n=157. A). Find the probability that a single randomly selected value is between 102 and 129. P(102 < X < 129) =_______ B). Find the probability that a sample of size n=157n=157 is randomly selected with a mean between 102 and 129. P(102 < M < 129) =_______

A population of values has a normal distribution with M=111.8 and O=72 You intend to draw a random sample of size n=157. A). Find the probability that a single randomly selected value is between 102 and 129. P(102 < X < 129) =_ B). Find the probability that a sample of size n=157n=157 is randomly selected with a mean between 102 and 129. P(102 < M < 129) =_

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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K Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. OC. Since the distribution is of sample means, not…
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K A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal A. Ho H1 H2 H₁ H₁ H₂ ỌC. Hồ Hi-12 H₁: Hy > H₂ 0 в. Но 141=12 H₁ H₁ H₂ O D. Ho 11 #₂2 H₁ H1 H₂ The test statistic, t, is (Round to two decimal places as needed) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. Proctored Nonproctored H 144 n 34 CIXS 77.58 11.08 12 31 81.91 21.24 A. Reject Ho There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. OB. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject Ho. There is not sufficient evidence to support the…
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ne Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 42 couples. Complete parts (a) through (c) below. nents 1 of nts a. Find the mean and the standard deviation for the numbers of girls in groups of 42 births. 1 of The value of the mean is u = (Type an integer or a decimal. Do not round.) ok 1 of The value of the standard deviation is o = (Round to one decimal place as needed.) nch 1 of 1 b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. 1 of 2 (Round to one decimal place as needed.) er Contents Values of girls or greater are significantly high. 1 of 2 for Success (Round to one decimal place as needed.)…
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K Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the distribution is of individuals, not sample…
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