Question

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 = 3.9 minutes. Is the premium rate justified?

Open spreadsheet

1. 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

   H_a: μ _________greater 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).

3. What is the p-value (to 4 decimals)?

4. Using ? = .01, is a premium rate justified for this client?

   _____YesNo

Answer 1

Answer:

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d) the leve of santiaioo ool the alulated p-alue s Oo084 faumthe values pvalue ond Devel of Smti tha the ell observe Camce Thear fove, thoe tutficent videree th the want descc ho of the clom th the meo0 tinpof the telephone Sura very less Cmpleled n 15 minkes theae infficient evidence that thevant Jime ot the delephone (ess Regect He reocon of the doim that the mean ample led n 1 minles Sunveyill

Answer 2

Plz refer to these correction data:

a) 

H₀: ? ≤ 15

H_a: ? > 15

b) 3.034

c: 0.0012

d: Reject H₀. There is sufficient evidence to conclude that the premium rate should be charged.