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.
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Label the parameter
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State null and alternative hypotheses
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Write the name of the test you will be using
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Verify the required conditions for your proposed test.
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Find rejection regions
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Calculate the test statistic
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Calculate p-value
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Make decision ( use both rejection regions and p value method)
Rejection region method:
p-value method:
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Conclusion in the context of the problem