Using the <em>normal distribution and the central limit theorem</em>, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.
<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
.
- When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.
<h3>What is the mean and the standard error of the distribution of differences?</h3>
For each sample, they are given by:


For the distribution of differences, we have that:


The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, <u>one subtracted by the p-value of Z when X = 0</u>, hence:

By the Central Limit Theorem



has a p-value of 0.0335.
1 - 0.0335 = 0.9665.
More can be learned about the <em>normal distribution and the central limit theorem</em> at brainly.com/question/24663213
Completing the function process square solving the quadratic circle 363(y)
Answer:
390cm³
Step-by-step explanation:
6cm×5cm×13cm= 30cm²×13cm= 390cm³
Answer:
B. The student incorrectly calculated the scale factor to be –2
Step-by-step explanation:
Given that :
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).
The student determined y to be -2
If a figure dilated with a center of (0, 0) and scale factor k, then
(x , y) → (kx , ky)
(4, -6) → (12, y)


k = 3
Thus; the scale factor is 3
Now; the y-coordinate can now be calculated as;
ky = (3 × -6)
ky = -18
Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.
Answer:
Step-by-step explanation: