Assuming a random variable X is distributed with a mean of the second digit of your...

Assuming a random variable X is distributed with a mean of the second digit of your student number, a variance of the last digit of your student number divided by 10 ( if the last digit is zero, use 9).

If you take 64 independent samples from X, what is the probability that the sample means is greater than 5?
The sample mean that you get from the previous sample is 3.5; please construct a 95% confidence interval based on the previous assumption.
Interpret the confidence interval that you constructed.
Based on your sample results that the sample mean is 3.5, assuming you do not know the true populations mean, test the hypothesis that the population mean of X equals to the third digit of your student number. Do you reject or nor reject your hypothesis?
Do you think you might have made mistake in your conclusion in step D? Why?
If you increase your sample size to 100, would the conclusion in step D change? Why and why not?

Expert Solution

orchestra answered 2 years ago

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