What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter. Twelve samples of water from a particular source have the following concentrations, in units of micrograms per liter. Assume the population standard deviation is aS. if appropriats, perform a hypothesis test to determine whether you can conclude that the mean concentration of lead meets the EPA standards. Use the a0.01 level of significance an the P-value method with the TI-84 calculator. 11.7 14.4 11.6 14.6 159 S.7 12.5 8.9 11.4 17.7 9.S 15.7 Send data to Excel Part 1 of 6 Explain why it is necessary to check that the population is approomately normal before performing a hvpothesie test. It is necessary to check that the population is appreximately nomal because the sample size is small ns30 Part 2 of 6 Following is a dotplot of the data. Is it reasonable to assume that the population itappromately normal 14 Itlis reasonable to assume that the population is appr eane Part 3 of 6 State the appropriate null and alternate hypotheser. HH- 15 HA< 15

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What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less
than 15 micrograms per liter. Tiwelve samples of water from a particular source have the following concentrations, in units of
micrograms per liter. Assume the population standard deviation is aS. if appropriate, perform a hypothesis test to determine
whether you can conclude that the mean concentration of lead meets the EPA standards. Use the a0.01 level of significance an
the P-value method with the TI-84 calculator.
11.7 14.4 11.6 14.6 15.9
S.7
12.5 8.9
11.4 17.7 9.8
15.7
Send data to Excel
Part 1 of 6
Explain why it is necessary to check that the population is approximately normal before performing a hvpothesis test
It is necessary to check that the population is approximately nomal because
the sample size is smal 5 30
Part 2 of 6
Following is a dotplot of the data. Is it reasonable to assume that the population is appro mately normal
12 4 16
It ia
reasonable to assume that the population is apprak reacey
Part 3 of 6
State the appropriate null and alternate hypotheser.
HH- 15
HA< 15
This hypothesis test is a left-tailed
test
Part 4 of 6
Compute the Pvalue. Round the P-value to at least four decimal places
P-value - 0.5620
Transcribed Image Text:What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter. Tiwelve samples of water from a particular source have the following concentrations, in units of micrograms per liter. Assume the population standard deviation is aS. if appropriate, perform a hypothesis test to determine whether you can conclude that the mean concentration of lead meets the EPA standards. Use the a0.01 level of significance an the P-value method with the TI-84 calculator. 11.7 14.4 11.6 14.6 15.9 S.7 12.5 8.9 11.4 17.7 9.8 15.7 Send data to Excel Part 1 of 6 Explain why it is necessary to check that the population is approximately normal before performing a hvpothesis test It is necessary to check that the population is approximately nomal because the sample size is smal 5 30 Part 2 of 6 Following is a dotplot of the data. Is it reasonable to assume that the population is appro mately normal 12 4 16 It ia reasonable to assume that the population is apprak reacey Part 3 of 6 State the appropriate null and alternate hypotheser. HH- 15 HA< 15 This hypothesis test is a left-tailed test Part 4 of 6 Compute the Pvalue. Round the P-value to at least four decimal places P-value - 0.5620
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