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

Calculate pvalue

Make decision ( use both rejection regions and p value method)
Rejection region method:
pvalue method:

Conclusion in the context of the problem