MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
Transcribed Image Text:The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income
tax return. The mean amount of deductions for this population of taxpayers was $15,119. Assume that the standard deviation is o = $2382. Use z-table.
a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $234 of the
population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals.
n = 30
n = 50
n = 100
n = 400
b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals.
A larger sample decreases
the probability that the sample mean will be within a specified distance of the population mean. In this instance, the
probability of being within ±234 of µ ranges from
for a sample of size 30 to
for a sample of size 400.
Expert Solution
arrow_forward
Step 1
Here use normal distribution table for finding probability from z score
Step by stepSolved in 3 steps with 2 images
Knowledge Booster
Similar questions
- Someone tells you that the mean score on a test was 85, and the standard deviation was -10. What does this mean? A. Need more information to answer this question B. The most common score was 75. C. A majority of the class scored less than 85. D. This is not possible. Standard deviation cannot be negative.arrow_forwardAn Excel assignment counts for 0-10 points. The scores in a class of 12 students are recorded as follows:1 5 5 6 7 7 8 8 8 9 10 10 What is the deviation of the score 10 from the mean in 13a (recall that this involves a subtraction of the mean from the particular score)? I think I got answer but want to check.arrow_forwardMario'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?arrow_forward
- During an experiment, the following times (in seconds) were recorded. Find the mean. 6.3, 5.4, 6, 3.2, 5.4, 5.5 ... The mean is (Round to one decimal place as needed.) ...arrow_forwardFind the mean and standard deviation of the number of red-headed Scots in a randomly selected group of 155. The probability of having red hair is still 13% for Scottish people. a. Mean = b. Standard deviation (Round to 2 places)=arrow_forwardSuppose you pay $500 per year to insure your car worth $10,000. The probability that you get in an accident, totaling the car, in any year is 0.001. Find your standard deviation for the insurance. Round your answer to the nearest dollar.arrow_forward
- Use the dataset below to fill in the blanks. The space between the data and the blanks isprovided so that you can show each data value's deviation and each data value's deviation squared.Sixteen families were selected at random and the number of children in each was recorded 0 0 0 1 1 2 2 2 2 2 3 3 4 6 8 12arrow_forwardSuppose six pet food stores in the area were surveyed, and the following data shows how many types of pet food each of them carries. 7,7,9, 9, 11, 11 Calculate the sample mean and the sample standard deviation. Round your answers to three decimal places. T = Number Number S=arrow_forwardThe distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman