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

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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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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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? 81 45 38 22 70 35 21 76 2 68 94 Range = 92 (Round to one decimal place as needed.) Sample standard deviation = (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? 39 62 25 66 49 11 73 64 19 2 92 0 Range = (Round to one decimal place as needed.) %3D
The average price of a college math textbook is $153 and the standard deviation is $24. Suppose that 46 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ ~ N( b. For the group of 46, find the probability that the average price is between $155 and $157. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the-distribution is normal necessary?ONOO Yes
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? 86 13 37 29 46 66 62 35 48 7 81 Range= (Round to one decimal place as needed.)
According to a 1998 poll conducted by Gallup of 5000 people, 32% of Americans fear putting their head beneath water. Let p̂ be the proportion of people who fear putting their head beneath water. a. What is the mean of the sampling distribution of p̂? b. Find the standard deviation of the sampling distribution of p̂. Round to the nearest thousandth. c. Find the probability of selecting a sample of 5000 people in which between 30% and 36% of people fear putting their head beneath water.
The average salary for a civil engineering major is $75,000 with a standard deviation of $10,000. A university wants to determine how well their students in their civil engineering program get paid after graduating. They ask one class of 30 students in a course to give their salaries after graduating. What is the probability the average salary of the 30 students is between $73,000 and $77,000? Group of answer choices The sample size of 30 students is too small to use the Central Limit Theorem, the university needs to find a larger class 0.73 0.16 0.68
50 part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below: # of Courses Frequency Relative Frequency Cumulative Frequency 1 13 2 22 3 4 5 a. Complete the table above b. Find the sample mean and sample standard deviation. c. How many standard deviations above or below the mean is taking three classes? d. Find the probability that someone takes at least 3 classes.
IV. SAMPLING AND SAMPLING DISTRIBUTIONS a. Assume that the average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but the probability distribution of the population is unknown. b. If a random sample of 32 NFL players is selected, what is the probability that the average weight of the sample will be less than 234 pounds.
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The monthly rents for studio apartments in a certain city have a mean of $1,020 and a standard deviation of $170. Random samples of size 60 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. O A. $1,020.00, $2.83 OB. $1,020.00, $21.95 O C. $131.68, $170.00 O D. $131.68, $21.95 View Instructor Tip Calculator Next PType here to search 70°F Clear ^ O 4) 6:46 PM 直 0 3) 10/8/2021 10/05/17 DG521 AU F7 F8 PrtSc Delete F10 F11 F12 Insert & * Backspace 4. 8. 6 G K 15 工 Pl // +
The average price of a college math textbook is $178 and the standard deviation is $24. Suppose that 6 textbooks are randomly chosen. Round all answers to 4 decimal places if necessary. a. What is the distribution of x? b. For the group of 6, find the probability that the average price is between $176 and $187. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)
A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 1 2 3 4 5 Number of Women 27 22 30 12 7 2 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children. d. What is the first quartile of the number of children? e. What proportion of the women had more than the mean number of children? f. For what proportion of the women was the num- ber of children more than one standard deviation greater than the mean? g. For what proportion of the women was the num- ber of children within one standard deviation of the mean?

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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?