Question
Answer all questions with explanation Suppose the random variable has Normal distribution with unknown expected value of , i.e., = (), and unknown standard deviation
Answer all questions with explanation
Suppose the random variable has Normal distribution with unknown expected value of , i.e., = (), and unknown standard deviation = (). Given the sample above,
a. [2 points] estimate using the sample mean b. [2 points] estimate using the sample standard deviation
c. [2 points] construct a 95% confidence interval for
d. [2 points] construct a 90% confidence interval for Now let's test the hypotheses about . The null hypothesis is stated as 0: = 130.
e. [2 points] Suppose the alternative is 1: 130, can you reject 0 at 5% significance level?
f. [2 points] Suppose the alternative is 1: < 130, can you reject 0 at 5% significance level?
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