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 = 3.6 minutes. Is the premium rate justified? a.  Formulate the null and alternative hypotheses for this application. b.  Compute the value of the test statistic (to 2 decimals). c.  What is the p-value (to 4 decimals)? d.  Using ? = .01, is a premium rate justified for this client?

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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 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 = 3.6 minutes. Is the premium rate justified?

a.  Formulate the null and alternative hypotheses for this application.

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

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

d.  Using ? = .01, is a premium rate justified for this client?

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Transcribed Image Text:Excel template - Saved ✓ D4 6789 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 File Home = A Insert Arial X ✓ fx 13.7 17.3 14.6 17.4 18.5 10.1 15.1 16.6 17 14.5 19.6 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 B Sheet1 + Draw Page Layout ✓ 10 с Calculation Mode: Automatic Workbook Statistics B Formulas Hypothesized Mean Value Population Standard Deviation Level of Significance Standard Error Critical Value Test Statistic (z) p-value (Lower Tail) p-value (Upper Tail) p-value (Two Tail) Reject Null Hypothesis? Data range A:A Search (Option + Q) Data D Review v 15 3.6 View 0.01 E ab Help ← General F #N/A #N/A #N/A #N/A #N/A #N/A #N/A ←0 .00 .00 →.0 G V H I J Σ K ✓ Editing ✓ T Ov P L Give Feedback to Microsoft M Comments N 100% +
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Standard Error
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Test Statistic (z)
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Transcribed Image Text:Excel template - Saved D4 123456789 File 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 25 Home A Call Time (minutes) Insert Arial 20.3 13.7 16.2 18.1 13.7 17.3 14.6 17.4 18.5 10.1 15.1 16.6 17 14.5 19.6 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 12 Sheet1 B + fx Draw Page Layout 10 B Calculation Mode: Automatic Workbook Statistics Formulas Sample Size Sample Mean Hypothesized Mean Value Population Standard Deviation C D Hypothesis Test about a Population Mean: Sigma Known Case Level of Significance Standard Error Critical Value Test Statistic (z) p-value (Lower Tail) p-value (Upper Tail) p-value (Two Tail) Reject Null Hypothesis? & Data range A:A Search (Option + Q) Data Review 15 3.6 0.01 View E ab Help General F Formulas #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A ←0 .00 .00 →.0 G H J Editing Ev APV K L Give Feedback to Microsoft M Comments N 100% +
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