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). Section 1 Section 2 Sample Size 100 100 Mean 34.2 35.9 Standard Deviation 6.0 6.1

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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).
Section 1
Section 2
Sample Size
100
100
Mean
34.2
35.9
Standard Deviation
6.0
6.1
(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.)
Z =
p-value =
Use the p-value to evaluate the statistical significance of the results at the 5% level.
Ho is rejected. There is insufficient evidence to indicate a difference in the mean lead levels for the two
sections of the city.
O H, is not rejected. There is sufficient evidence to indicate a difference in the mean lead levels for the two
sections of the city.
O Ho is rejected. There is sufficient evidence to indicate a difference in the mean lead levels for the two
sections of the city.
O Ho is not rejected. There is insufficient evidence to indicate a difference in the mean lead levels for the two
sections of the city.
(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
Transcribed Image Text: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). Section 1 Section 2 Sample Size 100 100 Mean 34.2 35.9 Standard Deviation 6.0 6.1 (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.) Z = p-value = Use the p-value to evaluate the statistical significance of the results at the 5% level. Ho is rejected. There is insufficient evidence to indicate a difference in the mean lead levels for the two sections of the city. O H, is not rejected. There is sufficient evidence to indicate a difference in the mean lead levels for the two sections of the city. O Ho is rejected. There is sufficient evidence to indicate a difference in the mean lead levels for the two sections of the city. O Ho is not rejected. There is insufficient evidence to indicate a difference in the mean lead levels for the two sections of the city. (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
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