An industrial company claims that the mean pH level of the water in a nearby river is 6.8. You randomly select 19 water samples and measure the pH of each. The data from the 19 water samples appeared to be unimodal and symmetric and had a mean pH level of 6.7 and a standard deviation of 0.24. Is this evidence that the mean pH level of the water in this river is not 6.8?
The null and alternative Hypotheses for the test are:
HO : μ = 6.8
HA : μ ≠ 6.8
What would be a Type I Error in the context of this problem?
Group of answer choices
The true mean pH level of the water in this river is NOT 6.8, but we believed (or data suggests) it was 6.8.
The true mean pH level of the water in this river is 6.8, but we believed (or data suggests) it was NOT 6.8
The true mean pH level of the water in this river is 6.7, and we believed (or data suggests) it was 6.8.
The true mean pH level of the water in this river is 6.8, and we believed (or data suggests) it was 6.7.
Type I error is rejection of true null hypothesis.
Option-B) The true mean pH level of the water in this river is 6.8, but we believed (or data suggests) it was NOT 6.8
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