Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:

By the Central Limit Theorem:



has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
Answer:
An arithmetic sequence is a sequence with the difference or pattern between two consecutive terms constant.
A geometric sequence is a sequence with a ratio between two consecutive terms constant.
A.
First you have to evaluate (2000* .045) then you take that and multiply by 8 then you add the answer to 2000.
so 2720 is your answer.
Answer:

Step-by-step explanation:
x 0 1 2 3 4 5 6 7
y 2 6 12 17 36 72 138 275
The points appear to follow an exponential growth curve.
The regression equation is

The figure below shows the graph of your points and the regression line.