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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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
Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 4.8. If 36 people are randomly selected, find the probability that their mean blood pressure will be less than 126. OA. 0.8615 OB. 0.8819 OC. 0.0062 O D. 0.9938 C...
The daily electric consumption of two houses were recorded. House A has consumes 375W (mean) the standard deviation is 15W. While House B uses 250W (mean), the standard deviation is 22W. 1. Find the probability for each house that the electric usage will not exceed 400W.2. Find the probability that both houses will exceed 400W in usage.3.Given the probability of 0.02, how much electricity must House B consume to avoid exceeding?
Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a randomly-selected data point from the sample will have a value greater than 158.0.
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
1. In a distribution of six scores, the deviations from the mean for five of the scores are +5, +3, +1, 0, and-3.What is the value of the deviation for the sixth score? 2. On the midterm exam in their anthropology course, Jan’s deviation score was +5, Kim’s was -12, andLeslie’s was 0.a) of these three, who did the best and who did the worst?b) the mean for the class was 80. What was the raw score for Jan, Kim, and Leslie?
The histogram (click the attacthed photo to view) shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. A) The mean is? B) The variance is? C)The standard deviation is?
Most people think that the "normal" adult body temperature is 98.6°F. In a more recent study, researchers reported that a more accurate figure may be 98.1°F. Furthermore, the standard deviation appeared to be around 0.7°F. Assume that a Normal model is appropriate. b) What fraction of people would be expected to have body temperatures above 98.6°F?
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III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.
Suppose the mean blood pressure for people in a certain country is 130 mmHg with a standard deviation of 24 mmHg. Blood pressure is normally distributed. State the random variable. The mean blood pressure of people in the country. The standard deviation of blood pressures of people in the country. O The blood pressure of a person in the country. Suppose a sample of size 10 is taken. State the shape of the distribution of the sample mean. The shape of the sampling distribution of the sample mean is unknown since the population of the random variable is normally distributed and the sample size is less than 30. The sampling distribution of the sample mean is normally distributed since the population is normally distributed. The sampling distribution of the sample mean is unknown since the sample size is less than 30. Suppose a sample of size 10 is taken. State the mean of the sample mean. Suppose a sample of size 10 is taken. State the standard deviation of the sample mean. Round to two…

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