In: Statistics and Probability
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 .01 significance level is 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 thousands of dollars.) |
H0: μ ≥ | |
H1: μ < | |
(b) |
State the decision rule for .01 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 .01 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. |