suppose you want to study the height of all students in this area, 100 samples w

ID: 3261739 • Letter: S

Question

suppose you want to study the height of all students in this area, 100 samples were

randomly chosen. Each sample has the same sample size. The average heights are

obtained from each sample, which of the following is true? Suppose we know that the

height does not follow a Normal distribution.

A) The distribution of height could possibly be Binomial.

B) The distribution of the average height is possibly Binomial.

C) The distribution of the average height follows Normal only if the sample size is big.

D) The distribution of the average height is Normal because there are 100 samples.

E) None of the above

Which of the following is true when a p-value is less than the significance level?

A) H0 should be rejected so that there is no type I error.

B) H0 should be rejected because the probability of making type I error is smaller than type

II error.

C) H0 should be rejected because the probability of making type I error is small, and we

want to control the type II error.

D) H0 should be rejected because the test statistic is at the upper right tail area of the

distribution (i.e., the upper reject region).

E) None of the above

1. Answer is D. When we take the averages of a sample greater than size 30, they follow normal distribution

2. When p value is less than the significance level, the null hypothesis is rejected and we say it is statistically significant. So answer is C

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