Answer and show complete solution. Pls don't reject A factory discharges waste water to a nearby river. The concentration of dissolved oxygen (DO) a few meters downstream of the factory’s discharge point was recorded for 10 consecutive days as shown in the table below. The lower the DO, the more “polluted” the river is and as the DO reaches zero, the river becomes unable to sustain marine life. Day DO (milligram/liter) 1 1.8 2 2 3 2.1 4 1.7 5 1.2 6 2.3 7 2.5 8 2.9 9 1.9 10 2.2 a. Local environmental regulations prescribe a minimum DO concentration of 2.0 mg/L. Perform a hypothesis test to determine whether the river’s water quality satisfies local regulations at a 5% significance level. (follow the 8step hypothesis test) b. Assume that the daily DO concentration is normally distributed. Estimate the values of the parameters μ and σ. c. Determine the 95% confidence interval for the true mean DO concentration.
Answer and show complete solution. Pls don't reject
A factory discharges waste water to a nearby river. The concentration of dissolved oxygen (DO) a few meters downstream of the factory’s discharge point was recorded for 10 consecutive days as shown in the table below. The lower the DO, the more “polluted” the river is and as the DO reaches zero, the river becomes unable to sustain marine life.
Day | DO (milligram/liter) |
1 | 1.8 |
2 | 2 |
3 | 2.1 |
4 | 1.7 |
5 | 1.2 |
6 | 2.3 |
7 | 2.5 |
8 | 2.9 |
9 | 1.9 |
10 | 2.2 |
a. Local environmental regulations prescribe a minimum DO concentration of 2.0 mg/L. Perform a hypothesis test to determine whether the river’s water quality satisfies local regulations at a 5% significance level. (follow the 8step hypothesis test)
b. Assume that the daily DO concentration is normally distributed. Estimate the values of the parameters μ and σ.
c. Determine the 95% confidence interval for the true mean DO concentration.
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