Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.68 and standard deviation 0.88.In USE SALT(a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.68 and 3.00?(Round your answers to four decimal places.)at most 3.00between 2.68 and 3.00(b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.)specimens

Answered: Suppose the sediment density (g/cm) of…

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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Assume that females have pulse rates that are normally distributed with a mean of u = 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 between 72 beats per minute and 80 beats per minute. The probability isO (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 between 72 beats per minute and 80 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? O A. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O C. Since…
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Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute
5. The sediment density (g/cm³) from water in the Red River flowing through Winnipeg, Manitoba has a distribution with mean value 2.65 and standard deviation 0.85. If 40 random samples of water are collected, what is the approximate probability that the average sample sediment density is between 2.65 and 3.00? (Retain two decimal places in all calculations.) Mean value :2.45 40 samples. P (z.u5sx<3.w)?
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (b) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 72 beats per minute and 80 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 between 72 beats per minute and 80 beats per minute. The probability is (Round to four decimal places as needed.)
X is a normally distributed random variable with a mean of 5.00 and a standard deviation of 11.39. If the right area is 0.4716 then what is the value of X?
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o= 5.6 kg. Complete parts (a) through (c) below. ... a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.)
Assume that females have pulse rates that are normally distributed with a mean of µ = 72.0 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 75 beats per minute.
Women's heights are normally distributed with a mean given by u = 63.6 in. and a standard deviation given by o = 2.5 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 62.6 in. Enter a number correct to 4 decimal places: (b) If 52 women are randomly selected, find the probability that they will have a mean height less than 62.6 in. Enter a number correct to 4 decimal places:
Assume that the body mass index (BMI) of all American young women follows a Normal distribution with standard deviation σ = 7.5. How large a sample would be needed to estimate the mean BMI μ in this population to within ±1 with 95% confidence? (Enter your answer as a whole number.)
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 a = 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 between 69 beats per minute and 83 beats per minute. The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 83 beats per minute. W 6 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? SA F2 A. 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 sample means, not individuals, the distribution is a normal distribution for any sample…

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