These are multiple choice, please answer them all since no work shown is needed.

Question

These are multiple choice, please answer them all since no work shown is needed.

Consider a normal distribution with a mean of 5 and standard deviation of 4. Approximately, what proportion of the area lies between values of -3 and 13.

a. 95%

b. 68%

c. 99%

d. 50%

If we want to estimate the average height of students in an elementary school, which of the following situations can certainly cause bias in our estimation?

a. If the rulers we use systematically overestimate the students’ heights

b. If we only sample the female students in that elementary school

c. If we use random sampling method to select students

d. If we only selected students who were eager to participate in the study

Which of the assumption is NOT required to compute a confidence interval for the difference between two means?

a. The two populations have the same variance.

b. The populations are normally distributed.

c. Each value is sampled independently from each other value.

d. The two populations have the similar means.

Explanation / Answer

Consider a normal distribution with a mean of 5 and standard deviation of 4. Approximately, proportion of the area lies between values of -3 and 13.

a. 95%

If we want to estimate the average height of students in an elementary school, following situations can certainly cause bias in our estimation

a. If the rulers we use systematically overestimate the students’ heights

b. If we only sample the female students in that elementary school

d. If we only selected students who were eager to participate in the study

the assumption is NOT required to compute a confidence interval for the difference between two means

d. The two populations have the similar means

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