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 o = 4 minutes. Is the premium rate justified? Open spreadsheet a. Formulate the null and alternative hypotheses for this application. Hou Ha: b. Compute the value of the test statistic (to 2 decimals). c. What is the p-value (to 4 decimals)? d. Using a = .01, is a premium rate justified for this client? Check My Work Reset Problem D4 fx B E E G D Hypothesis Test about a Population Mean: Sigma Known Case F Formulas Sample Size Sample Mean #N/A #N/A Hypothesized Mean Value Population Standard Deviation 15 4 Level of Significance 0.01 Standard Error Critical Value Test Statistic (2) #N/A #N/A #N/A . Call Time (minutes) 20.3 13.7 16.2 18.1 14.2 17.3 14.6 17.4 18.5 10.5 15.1 16.6 17 14.5 19.9 11.3 16.3 20.5 21.7 16 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 p-value (Lower Tail) p-value (Upper Tail) p-value (Two Tail) Reject Null Hypothesis? #N/A #N/A #N/A 1 2 3 4 5 6 7 8 9 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 40 41 42 #N/A Data range AA 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 o = 4 minutes. Is the premium rate justified? Open spreadsheet a. Formulate the null and alternative hypotheses for this application. Hou Ha: b. Compute the value of the test statistic (to 2 decimals). c. What is the p-value (to 4 decimals)? d. Using a = .01, is a premium rate justified for this client? Check My Work Reset Problem D4 fx B E E G D Hypothesis Test about a Population Mean: Sigma Known Case F Formulas Sample Size Sample Mean #N/A #N/A Hypothesized Mean Value Population Standard Deviation 15 4 Level of Significance 0.01 Standard Error Critical Value Test Statistic (2) #N/A #N/A #N/A . Call Time (minutes) 20.3 13.7 16.2 18.1 14.2 17.3 14.6 17.4 18.5 10.5 15.1 16.6 17 14.5 19.9 11.3 16.3 20.5 21.7 16 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 p-value (Lower Tail) p-value (Upper Tail) p-value (Two Tail) Reject Null Hypothesis? #N/A #N/A #N/A 1 2 3 4 5 6 7 8 9 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 40 41 42 #N/A Data range AA
