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raerea2005
05.07.2019 •
Mathematics
For a population, the mean is 19.4 and the standard deviation is 5.8. compare the mean and standard deviation of the following random samples to the population parameters. 25, 32, 16, 12, 11, 38, 22, 21, 19, 20
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Ответ:
The mean of the random samples (21.6) is greater than population´s mean (19.4) and the STD of the random samples (7.96) is greater than population´s STD (5.8)
Step-by-step explanation:
To calculate the mean of the random samples, we find the average value of the data set
Where a is an element of the random example and n is the number of elements in the sample, as follows
Mean = (25+32+16+12+11+38+22+21+19+20)*(1/10) = 21.6
To calculate the STD (Standard Deviation) we need to know the variance, because
The variance is determined as the sum of the deviation from one element of the data to the mean squared, all divided by n as below.
If you calculate this by calculator or with a computer, you should get Var=63.44
And with that value, STD=7.96≈8
Therefore, by comparison, both Mean and STD of the random sample are greater than the population´s parameter
Ответ:
a. p(orange) = 5/14
b. p(green) = 3/14
c. p(red) = 1/7
d. p(brown) = 2/7
e. p(brown or red) = 3/7
Step-by-step explanation:
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.
p(color) = (number of pencils of that color)/(total number of pencils)
p(color) = (number of pencils of that color)/14
a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
p(orange) = 5/14
b. If a pencil is picked at random, what is the probability that the pencil
will be green?
p(green) = 3/14
c. If a pencil is picked at random, what is the probability that the pencil will be red?
p(red) = 2/14 = 1/7
d. If a pencil is picked at random, what is the probability that the pencil
will be brown?
p(brown) = 4/14 = 2/7
e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?
brown: 4
red: 2
brown or red: 4 + 2
p(brown or red) = 6/14 = 3/7