Homework Help is Here – Start Your Trial Now!
Math
Statistics
54. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distrib- uted with mean 2.65 and standard deviation .85 (suggested in "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants," Water Research, 1984: 1169-1174). a. If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.65 and 3.00? b. How large a sample size would be required to ensure that the first probability in part (a) is at least .99?

54. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distrib- uted with mean 2.65 and standard deviation .85 (suggested in "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants," Water Research, 1984: 1169-1174). a. If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.65 and 3.00? b. How large a sample size would be required to ensure that the first probability in part (a) is at least .99?

MATLAB: An Introduction with Applications
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
icon
Related questions
Question

I am focused on question 54 here. Thanks for your understanding and solutions.

ing. time value is such that the total lifetime of all batteries in the a package exceeds that value for only 5% of all packages? e is n is 53. Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. a. If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? b. Without assuming population normality, what is the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51? 277 size pu- the ean la- lue 54. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distrib- uted with mean 2.65 and standard deviation .85 (suggested in "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants," Water Research, 1984: 1169–1174). ass. Dws irst cted a. If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.65 and 3.00? b. How large a sample size would be required to ensure that the first probability in part (a) is at least .99? ctor asly, e is ews 55. The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with rob- vaits parameter u 50. a. Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. b. Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225 and 275. c. Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations. cted n the nean X is Stay dent orpa 56. A binary communication channel transmits a sequence of "bits" (0s and 1s). Suppose that for any particular bit
Transcribed Image Text:ing. time value is such that the total lifetime of all batteries in the a package exceeds that value for only 5% of all packages? e is n is 53. Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. a. If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? b. Without assuming population normality, what is the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51? 277 size pu- the ean la- lue 54. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distrib- uted with mean 2.65 and standard deviation .85 (suggested in "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants," Water Research, 1984: 1169–1174). ass. Dws irst cted a. If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.65 and 3.00? b. How large a sample size would be required to ensure that the first probability in part (a) is at least .99? ctor asly, e is ews 55. The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with rob- vaits parameter u 50. a. Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. b. Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225 and 275. c. Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations. cted n the nean X is Stay dent orpa 56. A binary communication channel transmits a sequence of "bits" (0s and 1s). Suppose that for any particular bit
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS