![Q3. (Estimation and inference for the population mean of a normal distri- bution) 10 points Suppose that X is normally distributed, and that you are given the following random sample from its distribution: 5, 8, 7, 9, 3, 5, 10, 8, 7, 9, 6, 10, and 5 a. Estimate the mean and variance of the underlying normal distribution. 3 points b. Test the null hypothesis that the true population mean is equal to three (against the one-sided alternative that it exceeds three) at the 95% confi- dence level. [3 points] c. Construct a 99% confidence interval for the true population mean using your estimates. [4 points]](http://img.homeworklib.com/questions/1de2cc60-70b7-11ea-b7eb-f95956204970.png?x-oss-process=image/resize,w_560)
Homework Answers
a) mean = sum of all observations / number of observations
= 5 + 8 + 7+ 9 + 3+ 5 + 10 + 8 + 7 + 9 + 6+ 10 + 5/13
= 7.07
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Q3. (Estimation and inference for the population mean of a normal distri- bution) 10 points Suppose...
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