Which number is irrational? A.0.14, .14 is repeating B. 1/3 C.the square root of 4 D. The square root of 6
2 answers:
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Answer:
(a) 0.40
(b) 0.049
(c)
(d) 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:
Given:
n = 100
p = 0.40
As <em>n</em> = 100 > 30 the Central limit theorem is applicable.
(a)
Compute the expected value of as follows:
The expected value of is 0.40.
(b)
Compute the standard error of as follows:
The standard error of is 0.049.
(c)
The sampling distribution of is:
(d)
The sampling distribution of p show that as the sample size is increasing the distribution is approximated by the normal distribution.
Euler's formula tells us that
Suppose we subtract the two. This eliminates the cosine terms.
Divide both sides by
and you're done.
Suppose we subtract the two. This eliminates the cosine terms.
Divide both sides by