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 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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