The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the distribution of X? X N(( 7.14 2.14 b. What is the distribution of ? - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.63 and $8.22. d. For the group of 18 patrons, find the probability that the average lunch cost is between $7.63 and $8.22. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the distribution of X? X N(( 7.14 2.14 b. What is the distribution of ? - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.63 and $8.22. d. For the group of 18 patrons, find the probability that the average lunch cost is between $7.63 and $8.22. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

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...

See similar textbooks

Similar questions

The average amount of money spent for lunch per person in the college cafeteria is $6.96 and the standard deviation is $2.49. Suppose that 7 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the distribution of ? ī - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.8484 and $6.599. d. For the group of 7 patrons, find the probability that the average lunch cost is between $5.8484 and $6.599. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 12 5 or or b. Find the probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it. Hint: c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in their name, from a sample of 311 people. x n 0 93 1 91 2 60 3 67 (a) Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places. (b) Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P, the 11th percentile. This is the bone density score separating the bottom 11% from the top 89%. Which graph represents P ? Choose the correct graph below. O A. O B. OD. P11 P11 P11 P11 The bone density score corresponding to P1 is (Round to two decimal places as needed.) Click to select your answer(s). APR tv MacBook Air F9 F10 LLA 20 F3 F6 F8 F4 F5 F1 F2 & #3 7 8. %24
The avg. … (please complete only part c and d the rest is completed)
In a Normal distribution, the Empirical Rule states that... ["", "", "", "", ""] of the data is within 1 standard deviation of the mean, ["", "", "", "", ""] of the data is within 2 standard deviation of the mean, and ["", "", "", "", ""] of the data is within 3 standard deviation of the mean.
The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.8 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. 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? d. The probability that the child will be between 5.38 and 5.58 years old is e. If such a child is at the 40th percentile, how old is that child? years old.
Suppose it is known that the mean and standard deviation of the scores on a statistics final are 71.36 and 8.57, respectively. Calculate an interval that is symmetric around the mean such that it contains approximately 95% of scores. Assume that the scores have a normal distribution. Question 4 options: 1) (71.36, 8.57) 2) (54.22, 88.5) 3) (88.5, 54.22) 4) (62.79, 79.93) 5) (79.93, 62.79)
The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No
Which of the following is True about the Z-score of an observation? A. The Z-score of an observation is defined as the number of standard deviations from the mean. B. If the observation is twice as large as the mean, its Z-score is 1. C. The Z-score of an observation is a number between 0 and 1. D. If the observation is right at the mean, its Z-score is 1.
The age of children in kindergarten on the first day of school is uniformly distributed between 4.77 and 5.95 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. 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? d. The probability that the child will be between 5.27 and 5.67 years old is e. If such a child is at the 35th percentile, how old is that child? years old. Question Help: D Video 1 D Video 2 Written Example 1 Message instructor Submit Question Jump to Answer M DEL
Find the standard deviation of workers with no drug problem from the sample. (Round your answer to the nearest hundredth)