Question 8 For your answer in Question 8, choose the correct description of the

Question

Question 8

For your answer in Question 8, choose the correct description of the standard deviation. The variability of the mean for samples of size 36 The standard deviation of all samples of size 36 The minimum deviation of the mean for a sample size of 36 The maximum deviation of the mean for a sample of size 36 2 points Save Answer

Question 9

Find the mean and the standard deviation of the sampling distribution of x for a random sample of size 144. (This is just what you did in question 6, but with a larger sample size.) 2.5 points Save Answer

Question 10

Considering your answers to Questions 6 and 9, what effect does sample size have on the mean of the sampling distribution? The mean of the sampling distribution increases as n increases. The mean of the sampling distribution stays the same as n increases. The mean of the sampling distribution decreases as n increases. 2 points Save Answer Question 11 Considering your answers to Questions 6 and 9, what effect does sample size have on the standard deviation of the sampling distribution? The standard deviation of the sampling distribution increases as n increases. The standard deviation of the sampling distribution stays the same as n increases. The standard deviation of the sampling distribution decreases as n increases.

Explanation / Answer

SOlution8:

standard devaition gives spread for the data.
a measure of variability.

. The variability of the mean for samples of size 36

Solution9:

sample mean=xbar=mu=population mean

sample sd=s=population sd/sqrt(sample size)

=population sd/sqrt(144)

provide population mean and population sd...kindly check.

Solution10:

For the below sample mean

NewsAdv <- c(1.5,2,1.5,2.5,3.3,2.3,4.2,2.5)
NewsAdv1 <- c(1.5,2,1.5,2.5,3.3,2.3,4.2,2.5,1.3,2,3,4.3)
mean(NewsAdv)
mean(NewsAdv1)

for n=8 sample mean=2.475

for n=11 sample mean=2.533

as sample size increases mean increses

The mean of the sampling distribution increases as n increases

Solution11:

let assume population sd=5

let sample size=100

Sampling distr sd=5/sqrt(100)=5/10=0.5

Let take sample size=144

sampling distr=5/sqrt(144)=5/12=0.42

so as sample size increases standard deviation decreases .

ANSWER:

The standard deviation of the sampling distribution decreases as n increases.

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