After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) Use SALT to summarize the data. Enter the sample size, mean, and standard deviation for these two groups in the table, rounded to three decimal places. Grouping Variable Group 1 Group 2 93 236 Sample Size 1✓ ✓ Mean 21.940 21.770✔ ✓ x Standard deviation 5.690 ✓ 5.719✔✔ (b) We need to verify the assumptions for using the two-sample t confidence interval for a difference in population means before estimating the difference in these population means. The first assumption states that the two samples must be independently and randomly selected from the populations of interest or a representative sample from the population. Another way to think of this first assumption is that independent individuals or objects must be randomly assigned to treatments. Based on what you know about how this sample was collected, the two samples are ✓✓independent random samples from the populations of interest. The second assumption requires the sample to be large enough to be reasonably sure that the sampling distribution will be at least approximately normal. Based on the two sample sizes, the second assumption has been ✓ met. (c) Recall how each group was defined. The population mean for group 1 and for group 2 will be defined as follows. - Mean of Group 1 - Mean of Group 2 ₁-₂-Difference in means for these populations Use SALT to compute the confidence interval at the desired level. Enter the requested values below, rounded to three decimal places as needed. Difference of means: x Lower Limit: Upper Limit: Degrees of Freedom: Standard Error: (d) Provide an interpretation of the confidence interval. You can be 95% confident that the actual difference in population means is within the computed interval. The endpoints of this interval have different signs and zero is ✓✓✔ part of the interval. Therefore, you can estimate that the mean for group 1 is no
After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) Use SALT to summarize the data. Enter the sample size, mean, and standard deviation for these two groups in the table, rounded to three decimal places. Grouping Variable Group 1 Group 2 93 236 Sample Size 1✓ ✓ Mean 21.940 21.770✔ ✓ x Standard deviation 5.690 ✓ 5.719✔✔ (b) We need to verify the assumptions for using the two-sample t confidence interval for a difference in population means before estimating the difference in these population means. The first assumption states that the two samples must be independently and randomly selected from the populations of interest or a representative sample from the population. Another way to think of this first assumption is that independent individuals or objects must be randomly assigned to treatments. Based on what you know about how this sample was collected, the two samples are ✓✓independent random samples from the populations of interest. The second assumption requires the sample to be large enough to be reasonably sure that the sampling distribution will be at least approximately normal. Based on the two sample sizes, the second assumption has been ✓ met. (c) Recall how each group was defined. The population mean for group 1 and for group 2 will be defined as follows. - Mean of Group 1 - Mean of Group 2 ₁-₂-Difference in means for these populations Use SALT to compute the confidence interval at the desired level. Enter the requested values below, rounded to three decimal places as needed. Difference of means: x Lower Limit: Upper Limit: Degrees of Freedom: Standard Error: (d) Provide an interpretation of the confidence interval. You can be 95% confident that the actual difference in population means is within the computed interval. The endpoints of this interval have different signs and zero is ✓✓✔ part of the interval. Therefore, you can estimate that the mean for group 1 is no
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:After you have clicked the tab for your selected topic and read the problem, answer the questions below.
(a) Use SALT to summarize the data. Enter the sample size, mean, and standard deviation for these two groups in the table, rounded to three decimal places.
Sample Size
Mean
Grouping Variable
Group 1
Group 2
93
236
21.940
21.770✔
x
Standard deviation
5.690
5.719✔
(b) We need to verify the assumptions for using the two-sample t confidence interval for a difference in population means before estimating the difference in these population means.
The first assumption states that the two samples must be independently and randomly selected from the populations of interest or a representative sample from the population. Another way to think of this first assumption is that independent individuals or objects must be randomly
assigned to treatments.
Based on what you know about how this sample was collected, the two samples are
✓✓independent random samples from the populations of interest.
The second assumption requires the sample to be large enough to be reasonably sure that the sampling distribution will be at least approximately normal.
Based on the two sample sizes, the second assumption has been
✔✔✔met.
(c) Recall how each group was defined. The population mean for group 1 and for group 2 will be defined as follows.
H₁ = Mean of Group 1
H₂ = Mean of Group 2
H₁ H₂= Difference in means for these populations
Use SALT to compute the confidence interval at the desired level.
Enter the requested values below, rounded to three decimal places as needed.
Difference of means:
X
Lower Limit:
Upper Limit:
Degrees of Freedom:
Standard Error:
(d) Provide an interpretation of the confidence interval.
You can be 95 ✔✔✔ % confident that the actual difference in population means is within the computed interval. The endpoints of this interval have different signs
different than the mean for group 2.
The method used to construct this interval estimate is successful in capturing the actual difference in population means about 95 ✔✔ % of the time.
S
and zero is
part of the interval. Therefore, you can estimate that the mean for group 1 is no
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