Question

A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 mg claimed by the manufacturer. Test this claim at the 0.02 level of significance. The mean acetaminophen content for a random sample of n=36 tablets is 603.7 mg with a standard deviation of 4.9 mg. Make sure to show all the 5 steps.

Answer 1

Sotition! A researcher claim thal the amount of acotamino phone Rezcuired in formation is giron by Ila hypotha ted Meon - 600 X = Mean Gown 6 Qom dood deviation : 4.9 na ob Calcolak " @ Gate the wall and alternative spothesis by using We have to Gate the null and alternative hypothesis gilben dat is Nou hypothesis is - Ho: ll= 600 4 Alternative hypothesis is He: l7600 6 Find the test Gatific:- ho obtained the teal Statistic by using gillem data is Whe here, ->telt istatictic is . X-S Zo oo 500 - 600] 0.7 R916)

Bit 0.61666 17 = 4.5006 Therefore, telt Bariftic s 4.5306) giller Cala is © Find the p-valuer he hale to obtained the picalco, by using Elere ypialue is - Realue= Ct-test) =[4.5006] = (0-0001) Therefore, pkalte is 76.0001] @ decisionin We have to obtained the decision for the gillens te GriG. Efere p_lalue <a 0.000 E 0.02 Revecked nulla hypothecise on N20.00 Therefore, Pevect Ho, a X= 0.02

© Conclusion' he halle to conclude the gilles decision is tie there is a sufficient evidence to support that the claim that the amount of acetaminophen in a certain brand of cold tablets have a means different from the 600.