4. An article in the Joumal of the Environmental Engineering Division ["Least Squares Estimates of BOD Parameters" (1980, Vol. 106, pp. 1197-1202)) took a sample from the Holston River below Kingport. Tennessee, during August 1977. The biochemical oxygen demand (BOD) test is conducted over a period of time in days. The resulting data follow. I 2 4 6 8 10 12 14 16 18 20 Time (days): BOD (mg/liter): 0.6 07 13 19 2.1 26 29 3.7 3.5 3.7 3.8 a What is the estimate of o? b. What is the estimate of expected BOD lovel when ime 15 days?

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Subject: Applied statistics and probability for engineers

4. An article in the Joumal of the Environmental Engineering Division ("Least Squares
Estimates of BOD Parameters" (1980, Vol. 106, pp. 1197-1202)| took a sample from the
Holston River below Kingport. Tennessee, during August 1977. The biochemical oxygen
demand (BOD) test is conducted over a period of time in days. The resulting data follow
I 2 4 6 8 10 12 14 16
18 20
Time (days):
BOD (mg/liter): 0.6 0.7 15 1.9 21 2.6 29 3.7 3.5
3.7 3.8
a What is the estimate of o?
b. What is the estimate of expected BOD level when the time is 15 days?
5. A hypothesis wil be used to test that a population mean equals 10 against the
altemative that the population mean is more than 10 with known vaniance a. What is the
critical value for the test statistic Zo for the folowing significance levels?
(a) 001
(b) 0.05
Transcribed Image Text:4. An article in the Joumal of the Environmental Engineering Division ("Least Squares Estimates of BOD Parameters" (1980, Vol. 106, pp. 1197-1202)| took a sample from the Holston River below Kingport. Tennessee, during August 1977. The biochemical oxygen demand (BOD) test is conducted over a period of time in days. The resulting data follow I 2 4 6 8 10 12 14 16 18 20 Time (days): BOD (mg/liter): 0.6 0.7 15 1.9 21 2.6 29 3.7 3.5 3.7 3.8 a What is the estimate of o? b. What is the estimate of expected BOD level when the time is 15 days? 5. A hypothesis wil be used to test that a population mean equals 10 against the altemative that the population mean is more than 10 with known vaniance a. What is the critical value for the test statistic Zo for the folowing significance levels? (a) 001 (b) 0.05
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