In: Statistics and Probability
Listed below are the lead concentrations μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 13 μg/g.Assume that the lead concentrations in traditional medicines are normally distributed.
8 22 15 .5 8.5 3.5 10 6.5 13.5 5.5 11
1.Determine the test statistic (round two decimal)
2.Determine the P-value( round three decimal)
3.State the final conclusion that addresses the original claim
6.56.5
13.513.5
5.55.5
1111
x | x-x̅ | (x-x̅)2 | |
8 | -2.4 | 5.76 | |
22 | 11.6 | 134.56 | |
15.5 | 5.1 | 26.01 | |
8.5 | -1.9 | 3.61 | |
3.5 | -6.9 | 47.61 | |
10 | -0.4 | 0.16 | |
6.5 | -3.9 | 15.21 | |
13.5 | 3.1 | 9.61 | |
5.5 | -4.9 | 24.01 | |
11 | 0.6 | 0.36 | |
Total= | 104 | 266.9 | |
mean= x̅ | 10.4 |