Solve the problem.8) Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. Asample of 19 people are randomly selected.a) What is mean of the mean of all such sample means?b) What is standard deviation of all such sample means?c) Find the probability that their mean body temperature will be less than 98.50°F.Construct a normal quartile plot of the given data by using a graphing calculator or other statistical software. Use yourplot to determine whether the data come from a normally distributed population.9) The weekly incomes (in dollars) of a sample of 12 nurses working at a Los Angeles hospital are given below."F500 750 630 480550 650 720 780820 960 1200 770

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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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A population has a mean 75 and standard deviation 12. a. A random sample of 125 are taken. Find the mean and the standard deviation of the sample mean. b. How would the answer to part (a) change if the size of the sample were 500 instead of 125?
The length of a fully grown nibiscus plants is normally distributed and has a mean of 35cm. It is found that 5% of these plants are longer than 45cm. i. When plants are chosen for sale, those shorter than 30cm are rejected. Find the probability that a plant will be rejected. Find the standard deviation o. ii.
Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
The average score of the students of a certain class in a 100-item quiz is 83 with a standard deviation of 2.5. What is the coefficient of variation?
An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 11 printers. Part i) Suppose the number of printers drawn is quadrupled. How will the standard deviation of sample mean printing speed change? O A. It will decrease by a factor of 4. OB. It will increase by a factor of 4. O C. It will increase by a factor of 2. O D. It will decrease by a factor of 2. OE. It will remain unchanged. Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean printing speed change? O A. It will decrease by a factor of 2. O B. It will decrease by a factor of 4 O C. It will increase by a factor of 4. O D. It will increase by a factor of 2. OE. It will remain unchanged. Part iii) Consider the statement: 'The distribution of the mean…
The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. What is the mean and standard deviation of the sampling distribution of sample means? A The mean is 22.5, and the standard deviation is 4.5. B. The mean is 22.5, and the standard deviation is 27. C. The mean is 135, and the standard deviation is 4.5. D. The mean is 135, and the standard deviation is 27.
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm? a. 0.1357 b. 0.1151 c. 0.1841 d. 0.1587
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Evpte. If the probability of a defective bolt is 0.1, find Ta) the mean (b) the standard deviation for the distribution of defective bolts in a total of 400.
a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
Jeff is doing an experiment involving mice. The mice weights have mean weight 2.37 ounces and standard deviation 0.053 ounces. Jeff selects 9 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?

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