wanted to check if the customers are equally satisfied with the service provided at these two stores. A sample of 380 customers selected from Supermarket I produced a mean satisfaction index of 7.6 with a standard deviation of 0.75. Another sample of 370 customers selected from Supermarket II produced a mean satisfaction index of 8.1 with a standard deviation of 0.59. Assume that the customer
Archie Corporation has two supermarket stores in a city. The company’s quality control department wanted to check if the customers are equally satisfied with the service provided at these two stores. A sample of 380 customers selected from Supermarket I produced a mean satisfaction index of 7.6 with a standard deviation of 0.75. Another sample of 370 customers selected from Supermarket II produced a mean satisfaction index of 8.1 with a standard deviation of 0.59. Assume that the customer satisfaction indexes for the two supermarkets have unknown and unequal population standard deviations. .Let u1 and u2 be the mean of Supermarket I and Supermarket II, respectively. Using 98% confidence level.
1.
I) Determine the reliability factor:
a) 1.645
b) 2.330
c) 2.575
d) 1.960
II) Determine the standard error:
a) 0.021
b) 0.049
c) 0.750
d) 0.590
III) Determine the point estimate of u1-u2:
a) 7.600
b) 8.100
c) -0.500
d) -0.615
IV) Determine the confidence interval of u1 - u2 :
a) (-0.385;-0.500)
b) (0.385; 0.615)
c) (-0.500;0.385)
d) (-0.615; -0.385)
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