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?
Open spreadsheet
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The Null and Alternative Hypotheses
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- Formulate the null and alternative hypotheses for this application.
H0: μ
greater than or equal to 15greater than 15less than or equal to 15less than 15equal to 15not equal to 15
Ha: μ
greater than or equal to 15greater than 15less than or equal to 15less than 15equal to 15not equal to 15 - Compute the value of the test statistic (to 2 decimals).
fill in the blank 4 - What is the p-value (to 4 decimals)?
fill in the blank 5 - Using ???? = .01, is a premium rate justified for this client?