Analyses of drinking water samples for 100 homes in each of two different sections of a city gave the following information on lead levels (in parts per million). sample size: 100 (section 1), 100 (section 2) mean: 34.1 (section 1), 3.58 (section 2) standard deviation: 6.0 (section 1), 6.1 (section 2) a) Calculate the test statistic and its p-value to test for a difference in the two population means. (Use Section 1 − Section 2. Round your test statistic to two decimal places and your p-value to four decimal places.) b) Calculate a 95% confidence interval to estimate the difference in the mean lead levels in parts per million for the two sections of the city. (Use Section 1 − Section 2. Round your answers to two decimal places.) ______ parts per million to _____ parts per million c) Suppose that the city environmental engineers will be concerned only if they detect a difference of more than 5 parts per million in the two sections of the city. Based on your confidence interval in part (b), is the statistical significance in part (a) of practical significance to the city engineers? Explain.
Analyses of drinking water samples for 100 homes in each of two different sections of a city gave the following information on lead levels (in parts per million).
mean: 34.1 (section 1), 3.58 (section 2)
standard deviation: 6.0 (section 1), 6.1 (section 2)
a) Calculate the test statistic and its p-value to test for a difference in the two population means. (Use Section 1 − Section 2. Round your test statistic to two decimal places and your p-value to four decimal places.)
b) Calculate a 95% confidence
______ parts per million to _____ parts per million
c) Suppose that the city environmental engineers will be concerned only if they detect a difference of more than 5 parts per million in the two sections of the city. Based on your confidence interval in part (b), is the statistical significance in part (a) of practical significance to the city engineers? Explain.
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