A study was conducted by the Department of Biological Sciences at Virginia Tech to determine if there is a significant difference in the density of organisms at two different stations located on Cedar Run, a secondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond enter the stream near its headwaters. The accompanying data give the density measurements, in number of organisms per square meter, at the two collecting stations. Can it be concluded, at the 0.05 level of significance, that the average densities at the two stations are equal? Assume that the observations come from normal populations with different variances. Click the icon to view the data on organisms per square meter. Let sample 1 be the station 1 data and let sample 2 be the station 2 data. State the null and alternative hypotheses. Ho₁₂ = 0 (Type integers or decimals. Do not round.) Find the test statistic. The test statistic is (Round to two decimal places as needed.) Number of Organisms per Square Meter Number of Organisms per Square Meter Station 1 Station 2 5030 11,910 2800 2810 10,730 8130 4670 1330 11,400 26,850 6890 3320 860 17,660 7720 2130 2200 22,800 7030 2190 4250 1130 7330 15,040 1690 4980 Print Done
A study was conducted by the Department of Biological Sciences at Virginia Tech to determine if there is a significant difference in the density of organisms at two different stations located on Cedar Run, a secondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond enter the stream near its headwaters. The accompanying data give the density measurements, in number of organisms per square meter, at the two collecting stations. Can it be concluded, at the 0.05 level of significance, that the average densities at the two stations are equal? Assume that the observations come from normal populations with different variances. Click the icon to view the data on organisms per square meter. Let sample 1 be the station 1 data and let sample 2 be the station 2 data. State the null and alternative hypotheses. Ho₁₂ = 0 (Type integers or decimals. Do not round.) Find the test statistic. The test statistic is (Round to two decimal places as needed.) Number of Organisms per Square Meter Number of Organisms per Square Meter Station 1 Station 2 5030 11,910 2800 2810 10,730 8130 4670 1330 11,400 26,850 6890 3320 860 17,660 7720 2130 2200 22,800 7030 2190 4250 1130 7330 15,040 1690 4980 Print Done
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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I need help finding the test statistic, the p-value, and whether or not to reject the null hypothesis. Please explain each step as much as possible. Thank you!
Transcribed Image Text:A study was conducted by the Department of Biological Sciences at Virginia Tech to determine if there is a significant difference in the density of organisms at two different stations located on Cedar Run, a
secondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond enter the stream near its headwaters. The
accompanying data give the density measurements, in number of organisms per square meter, at the two collecting stations. Can it be concluded, at the 0.05 level of significance, that the average densities at the
two stations are equal? Assume that the observations come from normal populations with different variances.
Click the icon to view the data on organisms per square meter.
Let sample 1 be the station 1 data and let sample 2 be the station 2 data. State the null and alternative hypotheses.
Ho₁₂ = 0
(Type integers or decimals. Do not round.)
Find the test statistic.
The test statistic is (Round to two decimal places as needed.)
Number of Organisms per Square
Meter
Number of Organisms per Square Meter
Station 1
Station 2
5030
11,910
2800
2810
10,730
8130
4670
1330
11,400
26,850
6890
3320
860
17,660
7720
2130
2200
22,800
7030
2190
4250
1130
7330
15,040
1690
4980
Print
Done
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