The JJBI examined the number of reported larcenies in a random sample of 13 small communities in upstate New York. The sample gave the following numbers of reported larcenies:: 264, 214, 170, 116, 184, 147, 185, 145, 142, 175, 179, 122, 126 Numbers of reported larcenies in small communities are known to be normally distributed. with an unknown mean of u and an unknown standard deviation e.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The JJBI examined the number of reported larcenies in a random sample of 13 small communities in upstate New York. The sample gave the following numbers of reported larcenies::
264, 214, 170, 116, 184, 147, 185, 145, 142, 175, 179, 122, 126
Numbers of reported larcenies in small communities are known to be normally distributed. with an unknown mean of u and an unknown standard deviation o.
a) Calculate the sample mean for this data.
b) Calculate the sample standard deviation for this data.
c) Calculate the sample median for this data.
d) Calculate the sample range for this data. (One number)
e) Calculate an unbiased estimate for o? using this data.
f) Suppose W has a t distribution with 12 degrees of freedom. If P(W > t) = .06 then what is t?
g) Suppose W has a t distribution with 12 degrees of freedom. If P(W < t) = .06 then what is t?
h) Calculate the 94th percentile of a standard normal distribution.
i) Compute an 88% confidence interval for u using your answers above.
j) Compute an 88% prediction interval for u using your answers above.
Transcribed Image Text:The JJBI examined the number of reported larcenies in a random sample of 13 small communities in upstate New York. The sample gave the following numbers of reported larcenies:: 264, 214, 170, 116, 184, 147, 185, 145, 142, 175, 179, 122, 126 Numbers of reported larcenies in small communities are known to be normally distributed. with an unknown mean of u and an unknown standard deviation o. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the sample median for this data. d) Calculate the sample range for this data. (One number) e) Calculate an unbiased estimate for o? using this data. f) Suppose W has a t distribution with 12 degrees of freedom. If P(W > t) = .06 then what is t? g) Suppose W has a t distribution with 12 degrees of freedom. If P(W < t) = .06 then what is t? h) Calculate the 94th percentile of a standard normal distribution. i) Compute an 88% confidence interval for u using your answers above. j) Compute an 88% prediction interval for u using your answers above.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

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