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
4) The line segments formed are parallel because they never meet.
8) The answer is B. That is because there is a right angle and right angles are formed by perpendicular lines.
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So what you would need to add to get -6 is -5-1 then your answer would be -6 hope this helps!
B-(-7)= -1
First negative multiply by negative is POSITIVE.
So: B+7= -1
Subtract 7 from both sides
B= -7-1
B= -8.
Answer: -8.
To Check Answer: Plug in the variable of B in the original equation.
So: -8-(-7)= -1
-8+7= -1
-1= -1
If the Solution works out the answer is right.
The probability of obtaining two blue marbles without replacement is equal to 0.15.
We are given that:
The number of yellow marbles = 3
Number of red marbles = 9
Number of Blue marbles = 8
Total marbles = 3 + 9 + 8
Total marbles = 20
Now, we have to calculate the probability of obtaining two blue marbles without replacement.
The probability will be:
P( obtaining two blue marbles without replacement ) = 8 / 20 × 7 / 19
P( obtaining two blue marbles without replacement ) = 56 / 380
P( obtaining two blue marbles without replacement ) = 0.15
Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.
Learn more about probability here:
brainly.com/question/24756209
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