Here are the first four terms of a sequence.
1 answer:
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Answer:
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!
A proportion box can be used to solve this problem. First, we need to compute the difference or change in the original amount of visitors Alec had (in February) and the new amount of visitors (in March).
1,525 - 1, 385 = 140
We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box.
(The attached image will show an example of how to set this up).
Our last step is to cross multiply and divide.
140 x 100 = 14,000
14,000 ÷ 1,525 = 9.18
So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%.
1,525 - 1, 385 = 140
We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box.
(The attached image will show an example of how to set this up).
Our last step is to cross multiply and divide.
140 x 100 = 14,000
14,000 ÷ 1,525 = 9.18
So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%.