At the end of the spring semester, the dean of students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average was a gain of u = 9 pounds with a standard deviation of o = 6. The distribution of scores was approximately normal. A sample of n = 4 students is selected, and the average weight change is computed for the sample. What is the probability that the sample mean will be a gain of between M = 9 and M = 12 pounds? In symbols, what is p(9 < M < 12)? (four decimals)

At the end of the spring semester, the dean of students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average was a gain of u = 9 pounds with a standard deviation of o = 6. The distribution of scores was approximately normal. A sample of n = 4 students is selected, and the average weight change is computed for the sample. What is the probability that the sample mean will be a gain of between M = 9 and M = 12 pounds? In symbols, what is p(9 < M < 12)? (four decimals)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
The marks of six students in a science test are represented by the variable x. The following data was produced: n=6, Σx = 279 and Σx2 = 13 093.Find the mean and standard deviation.
A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. Find the probability that 2 of the next 3 trips will take at least 1/2 hour. Choices: a. 0.3974 b. 0.0571 c. 0.0092 d. 0.0004
60% of all the students passed an exam. If a random sample of 10 students is selected, What is the mean and the standard deviation ?
In a population of normally distributed data, the mean is 68 and the standard deviation is 12.75. You take a random sample of 25 items from that population. What is the probability that the sample mean will be between 70 and 75?
Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?
A study found that student weights averaged 87.3lb with a SD = 4lb. What is the 2-decimal % probability that an individual student will weight below 85 lb? What is the 2-decimal % probability that a group of 35 students will have a mean weight of over 88 lb?
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
a study of 880 homeowners in a certain area showed that the average value of the homes was $82,000, qnd the standard deviation was $5000. if 50 homes are for sale, Find the probability that the mean of the value of these homes is less than $83,000. e (round to four decimals)
For a random sample of 10 men, the mean head circumferences are x-bar = 57.3 cm, and the sample standard deviation is s = 2cm. what is the standard error of the mean?