1. A psychologist reported in an empirical study that the 95% CI for the mean of

Question

1. A psychologist reported in an empirical study that the 95% CI for the mean of IQ is [97.1, 101.4]. It implies that the population mean of IQ will fall within [97.1, 101.4] 95% of the time over repeated sampling. True or False? Why?

2. The margin of error tells us the exact value of the sampling error. True or False? Why?

3. When is unknown, the width of the CI depends on the confidence level, the estimated SE, and the sample size. True or False? Why?

4. At the same confidence level, the t value we used in the CI calculation is never smaller than the Z value. True or False? Why?

Explanation / Answer

1) this statement is false as confidence interval tell about that with 95% confidence the mean of the sample will be within the interval. it does not say that the mean will remain same over repeated sample

2) this statement is false because margin of error is the maximum value of the error which can occur not the exact value

3) this statement is true because the confidence interval increases with increaing the level of the the confidence and the size of the sample

4) this statement is true because the t value always depends on the degree of freedom while the z value is fixed .

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.