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Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...

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Question

Statistics

Fowle Marketing Research, Inc., bases charges to a client on theassumption that telephone surveys can be completed in a mean timeof 15 minutes or less. If a longer mean survey time is necessary, apremium rate is charged. Suppose a sample of 35 surveys producesthe data in the Microsoft Excel Online file below. Use a knownσ = 3.7 minutes. Is the premium rate justified?

  1. Formulate the null and alternative hypotheses for thisapplication.

    H0: μ _________greater than orequal to 15greater than 15less than or equal to 15less than 15equalto 15not equal to 15

    Ha: μ _________greater than orequal to 15greater than 15less than or equal to 15less than 15equalto 15not equal to 15

  2. Compute the value of the test statistic (to 2 decimals).

  3. What is the p-value (to 4 decimals)?

  4. Using ? = .01, is a premium rate justified for this client?
20.3
13.7
16.2
18.1
14.2
17.3
14.6
17.4
18.5
9.6
15.1
16.6
17
14.5
19.6
11.3
16.3
20.5
21.7
15.5
12.2
18.5
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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