The number of "destination weddings" has skyrocketed in recent years. for example, 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 $30,000. listed below is a total cost in $000 for a sample of 8 caribbean weddings.
29.1 28.5 28.8 29.4 29.8 29.8 30.1 30.6
1. at the 0.05 significance level, is it reasonable to conclude the mean wedding cost is less than $30,000 as advertised?
2. state the null hypothesis and the alternate hypothesis. use a 0.05 level of significance. (enter your answers in thousands of dollars.)

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x)∑(Xi-X)^2

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29.1                    0.1702

28.5                  1.0252

28.8                  0.5077

29.4                   0.0127

29.8                  0.0827

29.8                  0.0827

30.1                   0.3452

30.6                   1.1827

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236.1                 3.4088

Mean = 236.1 / 8 = 29.51

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

Finding in the t distribution table α=0.05 with df=7, we have

= -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!