find the average of the numbers 5/8, 9/10, 2 3/4 write the solution as a mixed number or fraction in lowest terms.
1 answer:
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Answer:
Explained below.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
(a)
The sample selected is of size <em>n</em> = 450 > 30.
Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.
The mean and standard deviation are:
So, the sampling distribution of sample proportion is .
(b)
Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:
Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.
(c)
The sample selected is of size <em>n</em> = 200 > 30.
Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.
The mean and standard deviation are:
So, the sampling distribution of sample proportion is .
(d)
Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:
Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.
(e)
The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.
And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.
So, there is a gain in precision on increasing the sample size.
Hello there!
Answer:
You can also round up to the nearest tenths is 15.1 to 15.0 and its going to be stay.
Step-by-step explanation:
First you had to switch sides of equation form.
Then you add by 0.3 from both sides of equation form.
And finally, simplify by equation. You can also cross out by -0.3+0.3 and it gave us equal to zero. Then you add 14.8+0.3 and it equal to 15.1. You had to used their variable and its should be the right answer.
Hope this helps!
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-Charlie