The table shown with this question counts the number of calls that arrive at a telephone help desk during the hours of 1 to 3 p.m. on 5 weekdays. The company uses the same number of employees to staff the center for each of these days. Test the null hypothesis that the calls are uniformly distributed over these days, agreeing with the staffing policy. (a) Find the degrees of freedom of χ2. (b) Find the expected number of calls on a Friday, if H0 holds. (c) Find the value of χ2 for testing H0. (d) Find the p-value for testing H0. # Calls Monday 220 Tuesday 205 Wednesday 200 Thursday 195 Friday 180
The table shown with this question counts the number of calls that arrive at a telephone help desk during the hours of 1 to 3 p.m. on 5 weekdays. The company uses the same number of employees to staff the center for each of these days. Test the null hypothesis that the calls are uniformly distributed over these days, agreeing with the staffing policy. (a) Find the degrees of freedom of χ2. (b) Find the expected number of calls on a Friday, if H0 holds. (c) Find the value of χ2 for testing H0. (d) Find the p-value for testing H0. # Calls Monday 220 Tuesday 205 Wednesday 200 Thursday 195 Friday 180
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The table shown with this question counts the number of calls that arrive at a telephone help desk during the hours of 1 to 3 p.m. on 5 weekdays. The company uses the same number of employees to staff the center for each of these days. Test the null hypothesis that the calls are uniformly distributed over these days, agreeing with the staffing policy.
(a) Find the degrees of freedom of
χ2.
(b) Find the expected number of calls on a Friday, if
H0
holds.(c) Find the value of
χ2
for testing
H0.
(d) Find the p-value for testing
H0.
# Calls
|
|
|
---|---|---|
Monday
|
220
|
|
Tuesday
|
205
|
|
Wednesday
|
200
|
|
Thursday
|
195
|
|
Friday
|
180
|
|
|
|
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the number of calls that arrive at a telephone help desk during the hours of 1 to 3 p.m. on 5 weekdays
the null hypothesis that the calls are uniformly distributed over these days,
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