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In: Statistics and Probability

The level of calcium in the blood in healthy young adults varies with mean about 9.5...

The level of calcium in the blood in healthy young adults varies with mean about 9.5 milligrams per deciliter and standard deviation about 0.4. A clinic in rural Guatemala measures the blood calcium level of 160 healthy pregnant women at their first visit for prenatal care. The mean based on this sample is 9.57. Is this an indication that the mean calcium level in the population from which these women come differs from 9.5?

a) Define μ in the context (in words).

b) State H0 and Ha.

c) Find the z-statistic.

d) Give the P-value.

e) Report your conclusion in context using a significance level of 5%.

f) Give a 95% confidence interval for the mean calcium level μ in this population. Interpret result.

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