The standard error of the sample mean:
a. is never larger than the standard deviation of the population
b. decreases as the sample size increases.
c. measures the variability of the mean from sample to sample.
d. all of these choices are true.

d. All of these choices are true.

Step-by-step explanation:

The standard error of the sample mean is given by the following formula:

In which is the standard deviation of the population and is the size of the sample.

a. is never larger than the standard deviation of the population

We have that . This means that, yes, the standard error of the sample mean is never larger than the standard deviation of the population.

b. decreases as the sample size increases.

As the sample size increases, increases. This means that decreases. So this is also correct.

c. measures the variability of the mean from sample to sample.

This is the definition of the standard error of the sample mean, so it is true.

The correct answer is

d. All of these choices are true.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

h= 12 inches

step-by-step explanation: