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The cost of weddings in the United States has skyrocketed in recent years. As a result,...

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Statistics

The cost of weddings in the United States has skyrocketed inrecent years. As a result, many couples are opting to have theirweddings in the Caribbean. A Caribbean vacation resort recentlyadvertised in Bride Magazine that the cost of a Caribbeanwedding was less than $10,000. Listed below is a total cost in $000for a sample of 8 Caribbean weddings. At the .01 significance levelis it reasonable to conclude the mean wedding cost is less than$10,000 as advertised?

9.0

9.1

8.5

9.1

10.8

9.7

8.5

9.4

(a)

State the null hypothesis and the alternate hypothesis. Use a.01 level of significance. (Enter your answers in thousandsof dollars.)

  H0: μ ≥  
  H1: μ <  
(b)

State the decision rule for .01 significance level.(Negative amount should be indicated by aminus sign. Round your answer to 3 decimalplaces.)

  Reject H0 if t<  
(c)

Compute the value of the test statistic.(Negative amount should be indicated by aminus sign. Round your answer to 3 decimalplaces.)

  Value of the test statistic  
(d)

At the .01 significance level is it reasonable to conclude themean wedding cost is less than $10,000 as advertised?

  (Click to select)RejectDo not rejectH0. The cost is (Click to select)lessnot lessthan $10,000.

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