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A random sample of 10 single mothers was drawn from a Obstetrics Clinic. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years. Assume that the population of single mother ages is normally distributed with standard deviation of 3.
a) Test if we can infer at the 5% significance level that the population mean is not equal to 20.
b) Test if we can infer at the 10% significance level that the population mean is greater than 20.
c) What is the p-value of the test in part (b)?
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