10. Mark each of the following as TRUE or FALSE 1) 13pts] if the sample size is

Question

10. Mark each of the following as TRUE or FALSE 1) 13pts] if the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will be increased. 7 a) True b) False 2) [3pts] Larger samples allow more precise estimates. a) True ) False 3) [3pts] If a 95% confidence interval for the mean score of all math 282 students inas (82, 95), then there is a 95% chance that a random selected student from a math 282 class will have a score of 82 to 95. a) True b) False

Explanation / Answer

1)

FALSE.

Note that

margin of error = z*s/sqrt(n)

Thus, if n increases, margin of error decreases. [FALSE]

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2)

TRUE.

It is because we have a smaller margin of error for larger sample sizes, as in number 1.

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3.

FALSE.

This confidence interval is for the mean, not for individual scores of students.

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