The average amount of money spent for lunch per personin the college cafeteria is $6.57 and the standarddeviation is $2.23. Suppose that 44 randomly selectedlunch patrons are observed. Assume the distribution ofmoney spent is normal, and round all answers to 4decimal places where possible.a. What is the distribution of X? X ~ N(b. What is the distribution of x? ¤ ~ N(|c. For a single randomly selected lunch patron, findthe probability that this patron's lunch cost isbetween $6.95 and $7.33.d. For the group of 44 patrons, find the probabilitythat the average lunch cost is between $6.95 and$7.33.e. For part d), is the assumption that the distribution isnormal necessary? ONoOYes

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table below shows the frequency distribution of the rainfall on 52 consecutive Fridays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Choose the correct histogram below. O A. 30- Class Frequency 20- 0-0.19 20 10- 0.20 - 0.39 13 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 0.40 - 0.59 6 0.60 - 0.79 1 OB. 30- 0.80 – 0.99 1.00 – 1.19 5 20- 1.20 - 1.39 10- 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 OC. 30- 20- 10- 0- 0.0 0'2 0.4 0.6 0.8 1.0 12 1.4
The following frequency table shows the number of fires per month in a city. Complete the table entries to find the mean and standard deviation for this distribution. E Click the icon to view the table. Complete the table below. More Info (Type integers or decimals rounded to three decimal places as needed.) 21 Product, Number, Frequency, Product, Deviation, Deviation 2 2 (x-x) (x-x)²•f 21 f (x•f) (x-x)² Number, Frequency, Product, f Deviation, Deviation (x•f) (x-x) (x-x)² X-X 2 X-X 4. 3 1 6. 0. Ex-73D Print Done Help me solve this View an example Get more help - 99+
Please answer B, C, & D.
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
For numbers 31-37, refer to the given problem. The average time it takes for a group of college students to complete a certain examination is 46.2 minutes whereas the standard deviation is 8 minutes. Fifty college students were randomly selected to take the examination. Assume that the variable is normally distributed. What is the probability that the mean. time it takes for the group to complete the test will be less than 43 minutes? 32. Wnar B. 45 33 A. & 34. What is asked in the given problem? A. P(X 43) B. P(43) 35. What formula is to be used in finding the z-score? D. z = 4 Vi A. z = -X B. z = C. z = 36. What is the answer to the question? B. 15.54% A. 0.23% C. 23% D. 34.46%
A person's blood pressure is monitored by taking 44 readings daily. The probability distribution of his reading had a mean of 129 and a standard deviation of 33 a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day. b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling distribution? c. Refer to (b). Find the probability that the sample mean exceeds 140.
A researcher who studies mental health is interested in the length of time (in days) that a patient stays in the hospital after they have presented to emergency having suicidal ideation. The researcher follows the first 30 patients during the month of January and follows them until each one of them is released. Below is the histogram of the data obtained from the 30 patients. 1. What is the shape of this distribution and please construct a frequency table. Given the shape and type of data, which measure of central tendency would you be more likely to report? Why?
A particular hospital's birthweight distribution is discovered to have a mean of 2700 g and a standard deviation of 200 g. Which of the following value ranges can we expect 95 percent of all birthweights at that hospital to fall within? O a. (2400, 3000) O b. (2500, 2900) O c. (2605, 2795) d. (2600, 2800)
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00 degrees C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 84, the 84 th percentile. This is the temperature reading separating the bottom 84 % from the top 16 %. A. Which graph represents Upper P 84? B. The temperature for Upper P 84 is approximately (Round to two decimal places as needed.)
A distribution of numbers is given by the following frequency histogram. Which of the following would be true? a. The mean would be greater than the median O b. The median would be greater than the mean C. The standard deviation would be less than 1 O d. The mean would be greater than the standard deviation
Please answer B & C.
Please answer A, B, & C.

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