An average dissolved oxygen level below 5 mg/1 puts aquatic life at risk. An environmentalist group collects a liter of water from each of 15 random locations along a stream and measures the amount of dissolved oxygen in each specimen. The mean is 4.62 milligrams (mg) and the standard deviation is 0.92 mg. Suppose that we know that dissolved oxygen varies among locations according to a normal distribution. Do the data provide convincing evidence at 5% level of significance that aquatic life in this stream is at risk?
Added by Esther S.
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- H0: The average dissolved oxygen level is not below 5 mg/L (i.e., μ ≥ 5). - H1: The average dissolved oxygen level is below 5 mg/L (i.e., μ < 5). Show more…
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An environmentalist collects a liter of water from 45 different locations along the banks of a stream. He measures the amount of dissolved oxygen in each specimen. The mean oxygen level is 4.62 mg, with an overall standard deviation of 0.92. A water purifying company claims that the mean level of oxygen in the water is 5 mg. Conduct a hypothesis test with α=0.001 to determine whether the mean oxygen level is less than 5 mg.
Ajiboye T.
An environmentalist collects a liter of water from 45 different locations along the banks of a stream. He measures the amount of dissolved oxygen in each of the 45 specimen and found the mean oxygen level to be 4.62 mg. A water purifying company claims that the mean level of oxygen in the water is 5 mg. Conduct a hypothesis test with Ě‘=0.001 to determine whether the mean oxygen level is less than 5 mg. Assume the population standard deviation is 0.92 Identify the null hypothesis and alternative hypothesis Find the test statistic P-value interpretation Conclusion
Sri K.
A liter of water was collected from 25 different locations along the banks of a stream by an environmentalist. The amount of dissolved oxygen in each specimen was measured. The mean level of oxygen in the water was claimed to be 4.62 mg with a standard deviation of 0.92. A hypothesis test was conducted with a significance level of 0.01 to determine whether the mean level of oxygen in the water is less than 4 mg.
Madhur L.
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