1. We should prefer point estimation over interval estimation because point esti

Question

1. We should prefer point estimation over interval estimation because point estimation is more precise. True or Flase? Why?

2. Within the same sample, the 95% condence interval for the mean is always wider thanthe 90% condence interval. True or False? Why?
3. A 90% condence interval for the population mean µ is [ X 1.65, X +1.65], in which is the population standard deviation. True or False? Why?

4. Suppose the population standard deviation is known. The 90% condence interval forthe mean becomes wider and wider as the sample size increases. True or False? Why?

Explanation / Answer

1. We should prefer point estimation over interval estimation because point estimation is more precise. True or Flase? Why?

FALSE. Point estimation cannot be said to be precise because there's only 1 point to consider. Furthermore, it doesn't give us an idea of the variation.

2. Within the same sample, the 95% condence interval for the mean is always wider thanthe 90% condence interval. True or False? Why?

TRUE, because the critical z score is greater for larger confidence levels.

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3. A 90% condence interval for the population mean µ is [ X 1.65, X +1.65], in which is the population standard deviation. True or False? Why?

FALSE. We should divide sigma by sqrt(n), by central limit theorem.

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4. Suppose the population standard deviation is known. The 90% condence interval forthe mean becomes wider and wider as the sample size increases. True or False? Why?

FALSE. The margin of error decreases as standard error decreases with sample size.

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