Concept explainers
To find: The probability that sample mean
Answer to Problem 84E
Solution: The probability is 0.00017.
Explanation of Solution
Calculation: The sampling distribution of sample mean
The value of the mean and the standard deviation of the sampling distribution is calculated as:
And value of
The sampling distribution of
The probability that
The area left to the particular Z-score can be obtained using Excel. The following procedure is carried out in Excel:
Step 1: Open the Excel spreadsheet.
Step 2: Type
The area under the standard normal curve to the left of
Hence, the probability that
Want to see more full solutions like this?
Chapter 5 Solutions
Introduction to the Practice of Statistics
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics 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:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman