_____ 1. A local retailer currently schedules employees based on the assumption that they serve customers
uniformly throughout the week (the same number each day). Management is starting to question
this assumption and decides to collect data on the number of customers served each day of the week
in order to perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday Total
200
Number Served 40 33 35 32 60
State the null hypothesis.
a) Customers are distributed evenly throughout the week.
b) Customers are not distributed evenly throughout the week.
State the alternative hypothesis.
_____ 2. A local retailer currently schedules employees based on the assumption that they serve customers
uniformly throughout the week (the same number each day). Management is starting to question
this assumption and decides to collect data on the number of customers served each day of the week
in order to perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday Total
200
Number Served 40 33 35 32 60
State the alternative hypothesis.
a) Customers are distributed evenly throughout the week.
b) Customers are not distributed evenly throughout the week.
, Determine the degrees of freedom.
_____ 3. A local retailer currently schedules employees based on the assumption that they serve customers
uniformly throughout the week (the same number each day). Management is starting to question
this assumption and decides to collect data on the number of customers served each day of the week
in order to perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday Total
200
Number Served 40 33 35 32 60
Assume the assumptions of the test are satisfied and determine how many degrees of freedom
the 𝜒 2 test statistic will have.
a) 1
b) 2
c) 3
d) 4
e) 5
Determine the critical value.
A local retailer currently schedules employees based on the assumption that they serve customers
_____ 4. uniformly throughout the week (the same number each day). Management is starting to question
this assumption and decides to collect data on the number of customers served each day of the week
in order to perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday Total
200
Number Served 40 33 35 32 60
Assume the assumptions of the test are satisfied and determine the critical value for the test.
a) 12.59
b) 7.81
c) 5.99
d) 3.84
e) 9.49
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