Answer Happy

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 a = 3.4 minutes. Is the premium rate justified? X Open spreadsheet a. Formulate the null and alternative hypotheses for this application. Ho: less than or equal to 15 Ha: greater than 15 b. Compute the value of the test statistic (to 2 decimals). 2.44 c. What is the p-value (to 4 decimals)? 0.0073 d. Using a = .01, is a premium rate justified for this client? Yes
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 XANDAREARASAAR 26 27 28 29 30 31 32 33 34 35 Call Time (minutes) 36 37 38 B 20.3 13.7 16.2 18.1 14.1 17.3 14.6 17.4 18.5 9.7 15.1 16.6 17 14.5 19.6 11.3 16.3 20.5 21.7 16.3 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 C D Hypothesis Test about a Population Mean: Sigma Known Case Sample Size Sample Mean Hypothesized Mean Value Population Standard Deviation Level of Significance Standard Error Critical Value Test Statistic (2) p-value (Lower Tail) p-value (Upper Tail) p-value (Two Tail) Reject Null Hypothesis? Data range AA 15 3.4 0.01 Formulas #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A G