1. Statistics: Unlocking the Power of Data Lock 5 Section 3.1 Sampling Distributions

2. Statistics: Unlocking the Power of Data Lock 5 The sampling distribution is shown for enrollment in statistics grad schools. One dot represents: A.Enrollment at one statistics grad program B.One sample mean C.1000 different enrollments D.1000 sample means

3. Statistics: Unlocking the Power of Data Lock 5 The sampling distribution is shown for enrollment in statistics grad schools. The population parameter is closest to: A.5 B. 10 C. 20 D. 55 E. 65 The distribution appears to be centered at about 55.

4. Statistics: Unlocking the Power of Data Lock 5 The sampling distribution is shown for enrollment in statistics grad schools. The standard error is closest to: A.5 B. 10 C. 20 D. 55 E. 65 The middle 95% of the data appears to extend about 20 out on either side from the center.

5. Statistics: Unlocking the Power of Data Lock 5 Random samples are taken from a population with mean , and the sample means are shown in the dotplots below. We estimate that  is about A. 5 B. 10 C. 15 D. 25 E. 200 The distributions appear to be centered at about 25.

6. Statistics: Unlocking the Power of Data Lock 5 One set of sample means below was computed using sample sizes of n = 50 and the other was computed using sample sizes of n = 200. We have: A.n = 50 for C1 and n = 200 for C2 B.n = 200 for C1 and n = 50 for C2 C.It is impossible to tell from the information given. The variability goes down as the sample size goes up.

7. Statistics: Unlocking the Power of Data Lock 5 The standard error for the sampling distribution given in C2 is about: A.5 B. 10 C. 15 D. 25 E. 30 The middle 95% of the distribution appears to extend about 10 on either side of the center.

8. Statistics: Unlocking the Power of Data Lock 5 The standard error for the sampling distribution given in C1 is about: A.1 B. 2 C. 5 D. 10 E. 25 The middle 95% of the distribution appears to entend about 2 on either side of the center.

9. Statistics: Unlocking the Power of Data Lock 5 Samples of size 5 are taken from a large population with population mean 8, and the sampling distributions for the sample means are shown. Dataset A (top) and Dataset B (bottom) were collected using different sampling methods. Which dataset (A or B) used random sampling? B, since it is centered at the population mean of 8.

10. Statistics: Unlocking the Power of Data Lock 5 Samples of size 5 are taken from a large population with population mean 8, and the sampling distributions for the sample means are shown. Dataset A (top) and Dataset B (bottom) were collected using different sampling methods. The sampling method for Dataset A is A.Unbiased B.Biased high C.Biased low The center is below the population mean of 8.

11. Statistics: Unlocking the Power of Data Lock 5 Standard Error The more the statistic varies from sample to sample, the the standard error. a) higher b) lower The standard error measures how much the statistic varies from sample to sample.

12. Statistics: Unlocking the Power of Data Lock 5 Reese’s Pieces a) 0.05 b) 0.15 c) 0.25 d) 0.35 Middle 95%: 0.2 to 0.7 => SE  0.5/4 = 0.15 Sampling Distribution :

13. Statistics: Unlocking the Power of Data Lock 5 Sample Size Suppose we were to take samples of size 10 and samples of size 100 from the same population, and compute the sample means. Which sample mean would have the higher standard error? a) The sample means using n = 10 b) The sample means using n = 100 Smaller sample sizes give more variability, so a higher standard error

14. Statistics: Unlocking the Power of Data Lock 5 Sample Size Suppose we were to take a sample of size 10 and a sample of size 100 from the same population, and compute the sample mean. Which sample mean would have higher uncertainty? a) The sample mean from n = 10 b) The sample mean from n = 100 Higher variability means more uncertainty