A population of 1,000 employees spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean? b. What is the probability that these 64 students will

A population of 1,000 employees spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean? b. What is the probability that these 64 students will

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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ASSIMILATION: Riley is a music DJ. So far, her average playing time per day is 5 hours, with a standard deviation of 1 hour. What is the probability that, on the next 30 days, her average playing time is less than 4.5 hours? 1. List the given information. 2. Determine the mean of the sampling distribution of the sample mean. 3. Compute for the standard deviation of the sampling distribution of the sample mean. 4. Solve for the z-score of X in the sampling distribution. 5. Use the z-table to solve the probability. 6. Conclusion.
3. Calculate the mean, median, mode, variance, and standard deviation for each of the following two groups of scores, which represent student performance on a health science test, with the highest possible score being 50. Group A 35 49 33 44 45 21 28 411 Group B 20 25 50 44 16 29 37 21 40 39 23 26 a. Which group has the greatest variability in scores? b. Which group has the highest mean score? c. How would you describe each group when comparing it to the other?
20. Sampling distribution. From 1975 through 2016, the mean gain of the Down jones industrial average was 470. A random sample of 32 years is selected from population. What is the probability that the mean gain for the sample was between 200 and 500. The standard deviation of population is 1215
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $132,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 37 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N c. For a single randomly selected graduate, find the probability that her salary is between $129,255 and $133,703. d. For a simple random sample of 37 graduates, find the probability that the average salary is between $129,255 and $133,703. e. For part d), is the assumption of normal necessary? O YesO No
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Dut Trenta and his friends play a game where they will win the amount indicated in the boxes they will pick. In Box 1, 2, 3, 4, 5, and 6, the prizes are 500, 1000, 500, 800, 1500, and 2000 respectively. A random sample of 3 boxes were selected without replacement. Let X be the amount indicated inside a box. a. Find the sampling distribution of ?. b. Find the mean and standard deviation of ?.
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 77 23 9 83 91 6 66 88 89 30 57 Range: (Round to one decimal place as needed.)
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 35 47 5 97 25 86 65 66 38 85 55 Range (Round to one decimal place as needed.)
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On average, accountants earn approximately an average of $6500 per year in the United States. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is $8680. Given a sample of 64 electricians, what is the standard deviation for the sampling distribution of the sample mean? a. 1205 b. 8680 c. 6000 d. 1085
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a.	What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?

b.	What is the probability that these 64 students will spend a combined total of more than $715.21?

c.	What is the probability that these 64 students will spend a combined total between $703.59 and $728.45?