Applied Research Name:__________________________________________
At Home Quiz 4
Work the two problemsz BOTH by hand and by computer. When finding the Test Statistic
by hand, you MUST show work (steps) to receive full credit. By hand, use tables to find p-
values. When using SPSS to work the problems, in the output you MUST highlight the Test
Statistic & the p-value to receive full credit.
If a question involves Chi-square Test of Independence, only do it using SPSS. NO NEED to do
it by hand.
In Megaville, you are the area manager for a fast-food chain that owns four restaurants. Lately,
you have had some customers complaining about quality of service at the restaurant. You do not
want a bad reputation for the food chain so before taking any corrective action, you want to
determine if a location or locations have anything to do with the service quality. For this purpose,
you decided to visit each restaurant at noon (peak time) and monitor the service time for several
randomly selected customers. Time (in minutes) to complete the orders at the four restaurants
were recorded.
Time in Minutes
Restaurant 1 3 4 5.5 3.5 4
Restaurant 2 3 3.5 4.5 4 5.5
Restaurant 3 4 4.5 5 6 6 7 7
Restaurant 4 3.25 3 4 4.5 2.5 3
1. Number of variable(s) under investigation at the same time and the level of measurement?
We have two variables; the location of the restaurant and the quality of service
Location: Nominal
, Quality of service: Ratio
2. State the null and the alternative hypothesis that will investigate the above research question.
Ho: The location of the restaurant and service quality are independent (there is no
relationship between the two variables)
Ha: There is an association between the location of the restaurant and quality of service
(there is a relationship between the two variables)
3. Calculate the value of the Test Statistic? Credit will be denied if you do not show work
At Home Quiz 4
Work the two problemsz BOTH by hand and by computer. When finding the Test Statistic
by hand, you MUST show work (steps) to receive full credit. By hand, use tables to find p-
values. When using SPSS to work the problems, in the output you MUST highlight the Test
Statistic & the p-value to receive full credit.
If a question involves Chi-square Test of Independence, only do it using SPSS. NO NEED to do
it by hand.
In Megaville, you are the area manager for a fast-food chain that owns four restaurants. Lately,
you have had some customers complaining about quality of service at the restaurant. You do not
want a bad reputation for the food chain so before taking any corrective action, you want to
determine if a location or locations have anything to do with the service quality. For this purpose,
you decided to visit each restaurant at noon (peak time) and monitor the service time for several
randomly selected customers. Time (in minutes) to complete the orders at the four restaurants
were recorded.
Time in Minutes
Restaurant 1 3 4 5.5 3.5 4
Restaurant 2 3 3.5 4.5 4 5.5
Restaurant 3 4 4.5 5 6 6 7 7
Restaurant 4 3.25 3 4 4.5 2.5 3
1. Number of variable(s) under investigation at the same time and the level of measurement?
We have two variables; the location of the restaurant and the quality of service
Location: Nominal
, Quality of service: Ratio
2. State the null and the alternative hypothesis that will investigate the above research question.
Ho: The location of the restaurant and service quality are independent (there is no
relationship between the two variables)
Ha: There is an association between the location of the restaurant and quality of service
(there is a relationship between the two variables)
3. Calculate the value of the Test Statistic? Credit will be denied if you do not show work