time at each sample size in the table. 10. Record the sample mean and sample standard deviation in the table below. Leave the last two columns empty for now. Table 4. Standard Error & 95% Confidence Intervals Sample Size 4 9 16 25 100 400 Sample Mean 142.8 149.2 Sample Standard Deviation 8.7 8.7 147,3 14.8 53.6 11.9 50 9.7 49.9 9.8 Standard Error of the Mean (SE) Using SE- equation SD √n Standard Deviation of the Means 68% of samples should have a mean between www (± 1 SE-) 95% of samples should have a mean between (± 2 SE-) the sampl

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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question 10 chart
Fortunately, we don't need to sample a population 500 times to get the standard error of the mean.
have developed a formula that allows you to estimate the standard error of the mean based on a single sample's
standard deviation and sample size.
SE= =
You will now compare the standard deviation of 500 sample means to
the standard error of the mean calculated using data from a single
sample using the formula above.
Transfer the values for "Standard Deviation of the Means" from Table 3
into the appropriate column of Table 4. Resample the population a single
time at each sample size in the table.
10. Record the sample mean and sample standard deviation in the table
below. Leave the last two columns empty for now.
Table 4. Standard Error & 95% Confidence Intervals
Standard Error of the Mean (SE)
Sample
Size
Using SE-
equation
C.
4
a.
Sample
Mean
142.8
49.2
Sample
Standard
Deviation
8.7
8.7
SPR
2.4.35
147,3
14.8
53.6 11.9
50
Standard Deviation of
the Means
Sample Mean:
Sample Std. Deviation:
Mean of 500 Sample Means:
Std. Deviation of the Means:
68% of samples
should have a
mean between
(± 1 SE-)
9
16
25
100
9.7
400
49,9 9.8
11. Use the formula for standard error of the mean to calculate the SE-for each sample based on the sample
standard deviation and sample size.
Compare and contrast the two standard errors for each sample size (determined by the standard
deviation of 500 sample means and by using the formula).
stics and Math
Biolnteractive.org
на куту зolx знакуну
46.2193
8.0186
50.1137
5.3725
95% of samples
should have a
mean between
(± 2 SE-)
b. Compare and contrast your standard error with those of a small group of other students. Describe
you observed.
For large sample sizes, the formula for determining the standard error of the mean is an effective
estimate the range of means you would expect if you were to randomly select many samples fro
чко
Revis
Transcribed Image Text:Fortunately, we don't need to sample a population 500 times to get the standard error of the mean. have developed a formula that allows you to estimate the standard error of the mean based on a single sample's standard deviation and sample size. SE= = You will now compare the standard deviation of 500 sample means to the standard error of the mean calculated using data from a single sample using the formula above. Transfer the values for "Standard Deviation of the Means" from Table 3 into the appropriate column of Table 4. Resample the population a single time at each sample size in the table. 10. Record the sample mean and sample standard deviation in the table below. Leave the last two columns empty for now. Table 4. Standard Error & 95% Confidence Intervals Standard Error of the Mean (SE) Sample Size Using SE- equation C. 4 a. Sample Mean 142.8 49.2 Sample Standard Deviation 8.7 8.7 SPR 2.4.35 147,3 14.8 53.6 11.9 50 Standard Deviation of the Means Sample Mean: Sample Std. Deviation: Mean of 500 Sample Means: Std. Deviation of the Means: 68% of samples should have a mean between (± 1 SE-) 9 16 25 100 9.7 400 49,9 9.8 11. Use the formula for standard error of the mean to calculate the SE-for each sample based on the sample standard deviation and sample size. Compare and contrast the two standard errors for each sample size (determined by the standard deviation of 500 sample means and by using the formula). stics and Math Biolnteractive.org на куту зolx знакуну 46.2193 8.0186 50.1137 5.3725 95% of samples should have a mean between (± 2 SE-) b. Compare and contrast your standard error with those of a small group of other students. Describe you observed. For large sample sizes, the formula for determining the standard error of the mean is an effective estimate the range of means you would expect if you were to randomly select many samples fro чко Revis
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