A standard painkiller is known to bring relief in 3.5 minutes on average (mu). A

Question

A standard painkiller is known to bring relief in 3.5 minutes on average (mu). A new painkiller is hypothesized to bring faster relief to patients. A sample of 40 patients are given the new painkillers. The sample yields a mean of 3.0 minutes and a standard deviation of 1.1 minutes. At the 0.05 significance level, the correct decision is: Reject the null hypothesis; the new painkiller brings faster relief. Reject the null hypothesis; the new pain killer does not bring faster relief. Fail to reject the null hypothesis; the new painkiller does not bring faster relief. Fail to reject the null hypothesis; the new painkiller brings faster relief.

Explanation / Answer

here std error of mean =std deviaiton/(n)1/2 =0.1739

hence test stat t=(X-mean)/std error =(3-3.5)/0.1739 =-2.8752

hence reject the null hypothesis ; the new painkiller brings faster relief

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