The level of calcium in the blood in healthy young adults varies with mean about u = 9.50 milligrams per deciliter and standard deviation about .40 milligram per deciliter. A clinic in rural Guatemala measures the blood calcium level of 64 healthy pregnant women at their first visit for prenatal care. The sample mean is x = 9.57 milligrams per deciliter. At a = .05, test the claim that the mean calcium level in the population from which these women come differs from 9.50 milligrams per deciliter? Assume the variable is normally distributed.
Label the parameter
State null and alternative hypotheses
Write the name of the test you will be using
Verify the required conditions for your proposed test.
Find rejection regions
Calculate the test statistic
Make decision ( use both rejection regions and p value method)
Rejection region method:
Conclusion in the context of the problem