BAD 376 PROBLEM ANALYSIS: THE CHI-SQUARE FOR GOODNESS OF FIT QUESTION 1 Use Chi-Square-table and find the following: 1. % if the degrees of freedom = 8; and a= 1%. 2. % if the degrees of freedom = 12; and a 5%. 3. 4. if the degrees of freedom = 20; and a= 10%. if the degrees of freedom 24; and a= 2.5%. = QUESTION 2 A regional transit authority is concerned about the number of riders on one of its bus routes. In setting up the route, the assumption is that the number of riders is the same on every day from Monday through Friday. A random sample of 90 riders yielded the following results: Day Monday Tuesday Wednesday Thursday Friday Number of Riders 13 16 28 17 16 Using a =10%, determine whether the transit authority's assumption is correct. Hint: If the null hypothesis is true then the number of riders is the same on every day from Monday through Friday. So, the proportions of riders on Mondays, on Tuesdays, on Wednesdays, on Thursdays or on Fridays will be the same. Let P1, P2, P3, P4 and P5 be the proportions of riders on Mondays, on Tuesdays, on Wednesdays, on Thursdays or on Fridays, respectively. Because there are five alternatives (Mondays, Tuesdays, Wednesdays, Thursdays and Fridays), it follows that P₁ = P₂ = P₁ = P₁ = P 1 = 0.20
BAD 376 PROBLEM ANALYSIS: THE CHI-SQUARE FOR GOODNESS OF FIT QUESTION 1 Use Chi-Square-table and find the following: 1. % if the degrees of freedom = 8; and a= 1%. 2. % if the degrees of freedom = 12; and a 5%. 3. 4. if the degrees of freedom = 20; and a= 10%. if the degrees of freedom 24; and a= 2.5%. = QUESTION 2 A regional transit authority is concerned about the number of riders on one of its bus routes. In setting up the route, the assumption is that the number of riders is the same on every day from Monday through Friday. A random sample of 90 riders yielded the following results: Day Monday Tuesday Wednesday Thursday Friday Number of Riders 13 16 28 17 16 Using a =10%, determine whether the transit authority's assumption is correct. Hint: If the null hypothesis is true then the number of riders is the same on every day from Monday through Friday. So, the proportions of riders on Mondays, on Tuesdays, on Wednesdays, on Thursdays or on Fridays will be the same. Let P1, P2, P3, P4 and P5 be the proportions of riders on Mondays, on Tuesdays, on Wednesdays, on Thursdays or on Fridays, respectively. Because there are five alternatives (Mondays, Tuesdays, Wednesdays, Thursdays and Fridays), it follows that P₁ = P₂ = P₁ = P₁ = P 1 = 0.20
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:BAD 376
PROBLEM ANALYSIS: THE CHI-SQUARE FOR GOODNESS OF FIT
QUESTION 1
Use Chi-Square-table and find the following:
1. % if the degrees of freedom = 8; and a= 1%.
2. %
if the degrees of freedom
=
12; and a 5%.
3.
4.
if the degrees of freedom = 20; and a= 10%.
if the degrees of freedom 24; and a= 2.5%.
=
QUESTION 2
A regional transit authority is concerned about the number of riders on one of its bus
routes. In setting up the route, the assumption is that the number of riders is the same on
every day from Monday through Friday. A random sample of 90 riders yielded the
following results:
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Number of Riders
13
16
28
17
16
Using a =10%, determine whether the transit authority's assumption is correct.
Hint: If the null hypothesis is true then the number of riders is the same on every day
from Monday through Friday. So, the proportions of riders on Mondays, on Tuesdays, on
Wednesdays, on Thursdays or on Fridays will be the same. Let P1, P2, P3, P4 and P5 be
the proportions of riders on Mondays, on Tuesdays, on Wednesdays, on Thursdays or on
Fridays, respectively. Because there are five alternatives (Mondays, Tuesdays,
Wednesdays, Thursdays and Fridays), it follows that P₁ = P₂ = P₁ = P₁ = P
1
= 0.20
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