An English literature course was taken by 250 students. Each member of a random sample of 50 of these students was asked to estimate the amount of time he or she spent on the previous week’s assignment. Suppose that the population standard deviation is 30 minutes. a. What is the probability that the sample mean exceeds the population mean by more than 2.5 minutes? b. What is the probability that the sample mean is more than 5 minutes below the population mean? c. What is the probability that the sample mean differs from the population mean by more than 10 minutes?

An English literature course was taken by 250 students. Each member of a random sample of 50 of these students was asked to estimate the amount of time he or she spent on the previous week’s assignment. Suppose that the population standard deviation is 30 minutes. a. What is the probability that the sample mean exceeds the population mean by more than 2.5 minutes? b. What is the probability that the sample mean is more than 5 minutes below the population mean? c. What is the probability that the sample mean differs from the population mean by more than 10 minutes?

Name: An English literature course was taken by 250 students. Each member of
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: An English literature course was taken by 250 students. Each member of a random sample of 50 of these students was asked to estimate the amount of time he or she spent on the previous week’s assignment. Suppose that the population standard deviation

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

In company XYZ, the success of an email to land into a spam folder is 4%. If an account received 20 emails in a day. Find the probability that: no spam email received. 2 spam email received. Find mean and standard deviation
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is u= girl(s). (Round to one decimal place as needed.) The standard deviation is o= girl(s). (Round to one decimal place as needed.) Table of numbers of girls and probabilities Number of Girls x 0 1 2 3 7 8 Print P(x) 0.003 0.026 0.118 0.212 0.274 0.227 0.108 0.027 0.005 Done D - X - +
After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,575 (U.S. News & World Report, America’s Best Colleges, 2009 ed.). Assume the population standard deviation is $7200. Suppose that a random sample of 70 USC students will be taken from this population.a.What is the probability that the sample mean will be within 750 of the population mean? b. How would the probability in part (a) change if the sample size were increased to 160?
The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70, what is the standard deviation of the sampling distribution?
Solve. In a box of 13 batteries, 8 are dead. You choose two batteries at random from the box. Let the random variable X be the number of good batteries you get. Find the standard deviation of of X. O A. G= 0.659 O B. G = 0.434 O C. o=0.410 O D. o=0.932 O E. o=0.640
In a departamental examination in statistics given to 500 students, the mean score was 75 with a student deviation of 8. If the scores were approximately normally distributed.Any descriptive value calculated from a population is calleda. statisticsb. parameterc. meand. probability
Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have BLUE eyes. Three randomly selected Americans are selected and examined for eye color. If you let success correspond to an American having BLUE eyes, calculate the following. Calculate the standard deviation.
200 chemistry students take a test. Use the Empirical Rule to find the number of scores falling into each of the following intervals: a. Within 1 standard deviation of the mean. b. Within 2 standard deviations of the mean. Round to the nearest whole number
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.
A statistics class of 40 students took a quiz. The highest possible score was 4 points. 10 students scored 4 points, 12 students scored 3 points, 8 students scored 2 point, 6 students scored 1 point, and 4 students scored 0. Compute the mean, median, and standard deviation of the scores. 4.
In a statistics class, 10 scores were randomly selected, and the following results were obtained: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66 What is the mean? What is the range? What is the standard deviation? (Reminder: this is a sample) What is the 90thpercentile? What is the first quartile (or 25thpercentile)? What is the third quartile (or 75thpercentile)? What is the 10thpercentile? What is the 65thpercentile? What is the Interquartile Range (IQR)
The proportion of adult women in a certain geographical region is approximately 51%. A marketing survey telephones 200 people at random. What proportion of the sample of 200 would you expect to be women? What would the standard deviation of the sampling distribution be? How many women, on average, would you expect to find in a sample of that size?