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Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. Suppose a sample of 35 surveys produces the data in the Microsoft Excel Online file below. Use a known = 4.1 minutes. Is the premium rate justified?

20.3 Sigma Known Case
13.7
16.2 Sample Size #N/A
18.1 Sample Mean #N/A
14.1
17.3 Hypothesized Mean Value 15
14.6 Population Standard Deviation 4.1
17.4
18.5
9.7 Level of Significance 0.01
15.1
16.6 Standard Error #N/A
17 Critical Value #N/A
14.5 Test Statistic (z) #N/A
19.6
11.3 p-value (Lower Tail) #N/A
16.3 p-value (Upper Tail) #N/A
20.5 p-value (Two Tail) #N/A
21.7
16.4 Reject Null Hypothesis? #N/A
12.2
18.5 Data range A:A
25.9
14.5
21.6
15.6
15.9
14.7
17.6
18
16.7
11.6
16.8
13
13.2

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