BUS308 Statistics for Managers

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 = 3.5 minutes. Is the premium rate justified?

Open spreadsheet

1. Formulate the null and alternative hypotheses for this application.H0: μgreater than or equal to 15greater than 15less than or equal to 15less than 15equal to 15not equal to 15Ha: μgreater than or equal to 15greater than 15less than or equal to 15less than 15equal to 15not equal to 15
2. Compute the value of the test statistic (to 2 decimals).fill in the blank 4
3. What is the p-value (to 4 decimals)?fill in the blank 5
4. Using 𝛼 = .01, is a premium rate justified for this clientThe time married men with children spend on child care averages 6.6 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.6 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.

Open spreadsheeta. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Timein your area? <>≤≥=≠ <>≤≥=≠ b. What is the sample mean and the -value?What is the sample mean (to 1 decimal)? hoursCalculate the value of the test statistic (to 2 decimals).What is the -value (to 4 decimals)? Do not round intermediate calculations.c. Select your own level of significance. What is your conclusion?RejectDo not reject the null. We don’t havehave enough evidence to disprove the reported time.

The time married men with children spend on child care averages 5.8 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 5.8 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.Open spreadsheeta. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Timein your area? <>≤≥=≠ <>≤≥=≠ b. What is the sample mean and the -value?What is the sample mean (to 1 decimal)? hoursCalculate the value of the test statistic (to 2 decimals).What is the -value (to 4 decimals)? Do not round intermediate calculations.c. Select your own level of significance. What is your conclusion?RejectDo not reject the null. We don’t havehave enough evidence to disprove the reported time.