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 σ = 3.7 minutes. Is the premium rate justified?
20.3 |
13.7 |
16.2 |
18.1 |
14.3 |
17.3 |
14.6 |
17.4 |
18.5 |
10.2 |
15.1 |
16.6 |
17 |
14.5 |
20.2 |
11.3 |
16.3 |
20.5 |
21.7 |
15.6 |
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 |
Compute the value of the test statistic (to 2 decimals).
What is the p-value (to 4 decimals)?
= (20.3 + 13.7 + 16.2 + 18.1 + 14.3 + 17.3 + 14.6 + 17.4 + 18.5 + 10.2 + 15.1 + 16.6 + 17 + 14.5 + 20.2 + 11.3 + 16.3 + 20.5 + 21.7 + 15.6 + 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)/35 = 16.43
a) The test statistic is
b) P-value = P(Z > 2.29)
= 1 - P(Z < 2.29)
= 1 - 0.9890
= 0.0110
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...
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 σ = 3.2 minutes. Is the premium rate justified? Compute the value of the test statistic (to 2 decimals). What is...
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 σ = 3.9 minutes. Is the premium rate justified? Open spreadsheet Formulate the null and alternative hypotheses for this application. H0:...
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