a. In 2002 to 2004, there were 4948 Ontario residents applied to the province’s medical schools....

a. In 2002 to 2004, there were 4948 Ontario residents applied to the province’s medical schools. Of these 4948 applicants, 4588 were from urban areas and the rest were from rural areas. Statistics Canada reported that 13% of the Ontario’s population live in rural areas. Do the data suggest that rural students were underrepresented among the applicants for this two-year period? Perform the test at the significance level of 0.01.

b. Assume a sample (x₁, . . . , x_n) from a normal population with mean µ and a known variance σ₀². A researcher is interested in testing if the true population mean is greater than µ₀. Find the range of the sample mean x̅ such that the researcher will reject the null hypothesis at 5% level of significance.

c. The result in part (b) is known as the rejection region. It is given to you that from a given sample, we have n = 25, σ₀² = 4 and the rejection region obtained in part (b) is x̅ > 1.658. What is the chance of a sample mean falling in the rejection region if the true µ is 2?

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orchestra answered 1 year ago

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