The level of calciumin the blood of healthy young adults follows aNormal distributionwithmean μ = 10milligrams per deciliter and standard deviation = 0.4. A clinicmeasures theblood calcium of 100 healthy pregnant young women at their first visit for prenatal care.The mean of these 100 measurements is ¯ x = 9.8. Is this evidence that the mean calciumlevel in the population of healthy pregnant young women is less than 10? To answer this,test the hypotheses H0 : μ = 10 versus Ha : μ < 10 at the 5% significance level.(a) What is the value of the P-value?(b) Determine which of the following statements is true.• H0 should be rejected.• H0 should not be rejected.• Ha should be rejected.• There is a 5% chance that the null hypothesis is true.
The level of calciumin the blood of healthy young adults follows aNormal distributionwith
mean μ = 10milligrams per deciliter and standard deviation = 0.4. A clinicmeasures the
blood calcium of 100 healthy pregnant young women at their first visit for prenatal care.
The mean of these 100 measurements is ¯ x = 9.8. Is this evidence that the mean calcium
level in the population of healthy pregnant young women is less than 10? To answer this,
test the hypotheses H0 : μ = 10 versus Ha : μ < 10 at the 5% significance level.
(a) What is the value of the P-value?
(b) Determine which of the following statements is true.
• H0 should be rejected.
• H0 should not be rejected.
• Ha should be rejected.
• There is a 5% chance that the null hypothesis is true.
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