The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $10,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the .005 significance level, is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised? 10.1

12.6

9.5

9.5

11.4

9.5

8.6

9.4

(a)
State the null hypothesis and the alternate hypothesis. Use a .005 level of significance. (Enter your answers in thousands of dollars.)

H0: ? ?
H1: ? <

(b)
State the decision rule for .005 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

Reject H0 if t <
(c)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

Value of the test statistic
(d)
At the .005 significance level is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised?

(Click to select)RejectDo not reject H0. The cost is (Click to select)lessnot less than $10,000.