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

Suppose the level of calcium in the blood in healthy young adults varies with mean about 9.4 milligrams per deciliter and standard deviation about σ = 0.3. A clinic in rural Guatemala measures the blood calcium level of 140 healthy pregnant women at their first visit for prenatal care. The mean is
x = 9.47. Is this an indication that the mean calcium level in the population from which these women come differs from 9.4?

1. find the p value
2.  Give a 95% confidence interval for the mean calcium level μ in this population. We are confident that μ lies quite close to 9.4. This illustrates the fact that a test based on a large sample (n = 140 here) will often declare even a small deviation from H0 to be statistically significant.
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