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Mathematics, 02.03.2020 21:18 tonya3498

Consider a random sample of ten children selected from a population of infants receiving antacids that contain aluminum, in order to treat peptic or digestive disorders. The distribution of plasma aluminum levels is known to be approximately normal; however its mean µ and standard deviation σ are not known. The mean aluminum level for the sample of n = 10 infants is found to be x = 37.20 µg/l and the sample standard deviation is s = 7.13 µg/l. Furthermore, the mean plasma aluminum level for the population of infants not receiving antacids is known to be only 4.13 µg/l. (a) Formulate the null hypothesis and complementary alternative hypothesis, for a two-sided test of whether the mean plasma aluminum level of the population of infants receiving antacids is equal to the mean plasma aluminum level of the population of infants not receiving antacids. (b) Construct a 95% confidence interval for the true mean plasma aluminum level of the population of infants receiving antacids. (c) Calculate the p-value of this sample (as best

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