The level of calcium in the blood of healthy young adults fo

The level of calcium in the blood of healthy young adults follows a normal distribution with mean Mu = 10 milligrams per deciliter and standard deviation Sigma = 0.5. A clinic measures the blood calcium of 27 healthy pregnant young women at their first visit for prenatal care. The mean of these 27 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the population of healthy pregnant young women is less than 10 Set up the null and alternative hypotheses that you will be testing regarding the above question. Assuming that the distribution of calcium level measurements for pregnant young women is a normal distribution with Sigma = 0.5, find the value of the test statistic and compute the p-value. Is this statistically significant at the 5% level At the 1% level A fraud inspector is interested in assessing whether the mean water content in 12 oz. water bottles made by a certain company is less than what the label states. Let Mu denote the mean water content across all bottles made by that company. State the null and the research hypotheses for this hypothesis testing scenario in terms of Mu. Assume that the population standard deviation of the water content is Sigma = 0.82 oz. A simple random sample of 155 bottles was collected and the sample mean water content was 11.91 oz. Compute the test statistic z and the p-value. State the conclusions at each significance level alpha = 0.10, alpha = 0.05, and alpha = 0.01.

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