Question

Listed below are the lead concentrations in 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 14 μg/g 3 9 10 11.5 8.5 21.5 20 6 7.5 17 What are the null and alternative hypotheses? O A Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim Ho. There is Vevidence to conclude that the mean lead concentration for all such medicines is 14 ug/g

Answer 1

(X-x) -8.400 -2.400 -1.400 0.100 2.900 10.100 8.600 5.400 3.900 5.600 (x-x)2 70.5600 5.7600 1.9600 0.0100 8.4100 102.0100 73.9600 29.1600 15.2100 31.3600 338.4000 37.600 6.132 S.No 3.000 9.000 10.000 11.500 8.500 21.500 20.000 6.000 7.500 17.000 114 1 2 4 10 2x 11.400 -(x-R)/(n-1),- null hypothesis Alternate Hypothesis 14 14 for 0.05 level with left tailed test and n-1- 9 degree of freedom, critical value of t- Decision rule: 1.833 reject Ho if test statistic t<-1.833 population mean sample mean sample size sample std deviation 14 11.40 10.00 6.13 standard errror of mean - 1.939 test statistic t p value 0.107

for hypothesis: option C is correct

test statistic t =-1.34

p value =0.107 ( please try 0.106 if this comes wrong)

fail to reject Ho; there is not sufficient evidence ,,,,,,,is less than 14