B E G H J L M 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 3.7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 A Call Time (minutes) 20.3 13.7 16.2 18.1 13.7 17.3 14.6 17.4 18.5 10.2 15.1 16.6 17 14.5 20.3 11.3 16.3 20.5 21.7 157 Level of Significance 0.01 Standard Error Critical Value Test Statistic (2) #N/A #N/A #N/A p-value (Lower Tail) p-value (Upper Tail) p-value (Two Tail) #N/A #N/A #N/A Roiect Null Hunothecie? ANA > = Sheet1 + D4 fx A B D E G H 1 L M C p-value (Two Tail) F F #N/A Reject Null Hypothesis? #N/A Data range A:A 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 20 20.5 21.7 15.7 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 stion 1 mit 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 0 = 3.7 minutes. Is the premium rate justified? 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). 2.96 C. What is the p-value (to 4 decimals)? 0.0015 X d. Using a = .01, is a premium rate justified for this client? Yes Question 1 4/10 Submit Open spreadsheet a. Formulate the null and alternative hypotheses for this application. Ho less than or equal to 15 vy H: greater than 15 vg b. Compute the value of the test statistic (to 2 decimals). 2.96 X c. What is the p-value (to 4 decimals)? 0.0015 X d. Using a = .01, is a premium rate justified for this client? Yes X Check My Work Reset