Mathematics (AS & A Level) · Oct / Nov 2017 · Paper 73 · Question 8

In order to test the effect of a drug, a researcher monitors the concentration, X, of a certain protein in the blood stream of patients. For patients who are not taking the drug the mean value of X is 0.185. A random sample of 150 patients taking the drug was selected and the values of X were found. The results are summarised below. n = 150 Σ x = 27.0 Σ x2 = 5.01 The researcher wishes to test at the 1% significance level whether the mean concentration of the protein in the blood stream of patients taking the drug is less than 0.185.

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