A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. Factor 1: Factor 2: Type of contact Time of day Bank Representative Row means 8, 7, 9, 9 Automated Morning 6, 5, 8, 4 Row 1 x = 5.75 x = 8.25 x = 7.00 %3D 9, 10, 6, 8 x = 8.25 Afternoon 3, 5, 6, 5 Row 2 x = 4.75 x = 6.50 9, 10, 10, 9 x = 9.50 Evening 5, 5, 7,5 Row 3 x = 5.50 x =7.50 Column means Column 1 x = 5.33 Column 2 x = 8.67 Total x =7.00

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A bank has taken a random sample of 4 customers for each set of various criteria to
determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the
table below.
Factor 1:
Factor 2: Type of contact
Time of day
Automated
Bank Representative Row means
Morning
6, 5, 8, 4
8, 7, 9, 9
Row 1
x= 5.75
x = 8.25
x = 7.00
Afternoon
3, 5, 6, 5
9, 10, 6, 8
Row 2
x= 4.75
x = 8.25
x = 6.50
Evening
5, 5, 7,5
9, 10, 10, 9
Row 3
x= 5.50
x = 9.50
x =7.50
Column means
Column 1 x = 5.33
Column 2 x = 8.67
Total x =7.00
For the two measurement problem, use an a = 0.05 level of significance. Conduct
appropriate hypothesis tests and conclude whether to reject or not reject the claim that:
a. there is no difference in population mean satisfaction depending on time of
contact,
b. there is no difference in population mean satisfaction depending on type of
customer contact and
c. there is no interaction between type of contact and time of contact.
Transcribed Image Text:A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. Factor 1: Factor 2: Type of contact Time of day Automated Bank Representative Row means Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1 x= 5.75 x = 8.25 x = 7.00 Afternoon 3, 5, 6, 5 9, 10, 6, 8 Row 2 x= 4.75 x = 8.25 x = 6.50 Evening 5, 5, 7,5 9, 10, 10, 9 Row 3 x= 5.50 x = 9.50 x =7.50 Column means Column 1 x = 5.33 Column 2 x = 8.67 Total x =7.00 For the two measurement problem, use an a = 0.05 level of significance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that: a. there is no difference in population mean satisfaction depending on time of contact, b. there is no difference in population mean satisfaction depending on type of customer contact and c. there is no interaction between type of contact and time of contact.
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