Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g.
2.97 6.46 5.97 5.47 20.47 7.47 11.97 20.47 11.53
Identify the null and alternative hypotheses for this test.
[ Select ] [">", "=", "<"] 14
[ Select ] [">", "<", "="] 14
Identify the test statistic. [ Select ] ["-1.46", "1.45", "1.46", "-1.72"] (Round to two decimal places asneeded.)
Identify the P-value. [ Select ] ["0.092", "0.089", "0.091", "0.061"] (Round to three decimal places asneeded.)
State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.
[ Select ] ["Reject", "Fail to reject"] the null hypothesis. There [ Select ] ["is not", "is"] sufficient evidence at the 0.05 significance level to [ Select ] ["support", "warrant rejection of support"] the claim that the mean lead concentration for all Ayurveda medicines manufactured in the United States is less than 14.0 μg/g.