1. The quality of the drinking water must be monitored as often as possible. One variable of concern is the pH level, which measures the alkalinity or acidity of the water. A pH below 7.0 is acidic while a pH above 7.0 is alkaline. A pH of 7.0 is neutral. A water-treatment plant is targeting higher than 8.0 pH. Based on 16 random water samples, the mean and standard deviation were found to be: Xbar=7.6 and s = 0.4. Test the claim using 5% level of significance. a. Describe the population parameter of interest. b. Formulate the null and alternative hypothesis. c. Check the assumptions. d. Choose a significance level size for a. e. Select the appropriate test statistic. Compute the test statistic using the appropriate formula. f. Establish the critical value g. State the decision rule for rejecting or not the null hypothesis. h. Compare the computed test statistic and the critical value/s.
1. The quality of the drinking water must be monitored as often as possible. One variable of concern is the pH level, which measures the alkalinity or acidity of the water. A pH below 7.0 is acidic while a pH above 7.0 is alkaline. A pH of 7.0 is neutral. A water-treatment plant is targeting higher than 8.0 pH. Based on 16 random water samples, the mean and standard deviation were found to be: Xbar=7.6 and s = 0.4. Test the claim using 5% level of significance.
a. Describe the population parameter of interest.
b. Formulate the null and alternative
hypothesis.
c. Check the assumptions.
d. Choose a significance level size for a.
e. Select the appropriate test statistic. Compute the test statistic using the appropriate formula.
f. Establish the critical value
g. State the decision rule for rejecting or not the null hypothesis.
h. Compare the computed test statistic and the critical value/s.
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