Question

Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 17 pg/g. Assume that the sample is a simple random sample. 17 8 9 13.5 11 8.5 22.5 15.5 14.5 3.5 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho = 17 pg/g OB. Ho u=17 pg/g H #17 pg/g H < 17 pg/g Oc. Họ H= 17 pg/g OD. Ho -> 17 pg/g H > 17 pg/g H#17 pg/g 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 evidence to conclude that the mean lead concentration for all such medicines is 17 pg/g

Answer 1

OB. Ho: x= 17 ug/g H₂H 17 pg/g

sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) ) =   5.4324
Sample Size ,   n =    10
Sample Mean,    x̅ = ΣX/n =    12.3000
      
Standard Error , SE = s/√n =   5.4324/√10=   1.7179
t-test statistic= (x̅ - µ )/SE =    (12.3-17)/1.7179=   -2.74

p-Value   =   0.012
reject , sufficient , less than 17