Question

In: Statistics and Probability

Listed below are the lead concentrations μ​g/g measured in different traditional medicines. Use a 0.05 significance...

Listed below are the lead concentrations μ​g/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 μ​g/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

Solutions

Expert Solution

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


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