Question

Consider the population below.

36 18 19 15 26 36 27 28

25 37 14 27 14 26 14

The sample below was drawn from this population. Complete parts a and b below.

26 36 14 25 14 27 18 14.

a. Compute the sampling error for the sample mean in this situation.

The sampling error for the sample mean is____(Round to two decimal places as needed.)

b. Determine the largest possible sampling error for this sample of equals=8.

The largest possible sampling error is____(Round to two decimal places as needed.)

Answer #1

Sampling error = Sample mean - population mean

a. population mean = 24.13, sample mean = 21.75

sampling error = -2.38.

b. largest possible sampling error occurs when we take the larger sample values, in this case, we can choose the sample values starting from the maximum value till the 8th maximum since we have to choose 8 samples. Choosing the sample values as:

37, 36, 36, 28, 27, 26, 26, 25.

For this sample, the sample mean = 30.125. Hence the maximum possible sampling error = 30.125 - 24.133 = 5.992 = 6 (round to two decimal places).

Consider a sample with data values of 26 , 25 ,19 ,15 ,31 ,36 ,
28 , and 25 . Provide the five-number summary for the data.
Five-Number Summary Smallest value
First quartile (to 2 decimals)
Median (to 2 decimals)
Third quartile (to 2 decimals)
Largest value

Consider a sample with data values of 27, 25, 20, 15, 31, 36,
28, and 25. Provide the five-number summary for the data.
Five-Number Summary
Smallest value
First quartile (to 2 decimals)
Median (to 2 decimals)
Third quartile (to 2 decimals)
Largest value

Consider a sample with data values of 27, 25, 20, 15, 30, 34,
28, and 25. Compute the 18th, 23rd, 66th, and 76th percentiles. If
needed, round your answers to two decimal digits.

14, 31, 22, 19, 27, 33, 28, 17, 25, 33, 37, 40, 39, 40
Calculate the median, mean, IQR, S
Where would a small minority of scores be found?
Where would a score of 30 be found?

A sample of size
126
will be drawn from a population with mean
26
and standard deviation
3
. Use the TI-84 calculator.
Part 1 of 2
Find the probability that
x
will be between
25
and
27
. Round the answer to four decimal places.
The probability that
x
will be between
25
and
27
is .
Part 2 of 2
Find the
55th
percentile of
x
. Round the answer to two decimal places.
The
55th
percentile is...

Determine the margin of error for an 80% confidence interval to
estimate the population mean with sigmaequals51 for the following
sample sizes. a) n equals 35 b) n equals 41 c) n equals 60 Click
the icon to view the cumulative probabilities for the standard
normal distribution
. a) When nequals35, the margin of error for an 80%
confidence interval is____. (Round to two decimal places as
needed.)
b) When nequals41, the margin of error for an 80% confidence
interval...

A hypothetical population consists of eight individuals ages 13,
14, 15, 18, 19, 20, 26, and 30 years. (Enter your answers to three
decimal places.)
(a) What is the probability that a person in this population is
a teenager?
(b) What is the probability of selecting a participant older than
30?
(c) What is the probability of selecting a participant who is at
least 20 years old?

The following sample data are from a normal population: 13, 11,
15, 18, 16, 14, 9, 8.
(a)
What is the point estimate of the population mean?
(b)
What is the point estimate of the population standard deviation?
(Round your answer to three decimal places.)
(c)
With 95% confidence, what is the margin of error for the
estimation of the population mean? (Round your answer to one
decimal place.)
(d)
What is the 95% confidence interval for the population mean?...

10, 15, 17, 18, 29, 15, 17, 18, 16,
24,
13, 38, 49, 29, 14, 25, 21, 14, 35,
37,
38, 10, 19, 28, 17, 19, 24, 31, 32,
25,
26, 28, 19, 17, 24
Draw the following charts using the dataset above. Please write
a sentence or two interpreting the result (35
pts):
Histogram with five bins (be sure to use class boundaries)
(10pts)
Boxplot (15pts)
Stem and Leaf Plot (10pts)

A population consists of the following five values: 11, 14, 15,
16, and 18.
List all samples of size 3, and compute the mean of each sample.
(Round your mean value to 2 decimal places.)
Sample
Values
Sum
Mean
1
2
3
4
5
6
7
8
9
10
Compute the mean of the distribution of sample means and the
population mean. Compare the two values. (Round your
answers to 2 decimal places.)
Sample means
Population means

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