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

----------------------------------

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

----------------------------------------

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!

77

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is