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Sampling Distribution Quiz 4 (18 MCQs)

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1. A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the margin of error of this study?
2. The mean and standard deviation of a population are 200 and 20, respectively. If 25 data points are selected from this population at random, what is the probability that they have a sample mean of less than 190?
3. If n=N (a census), then the sampling distribution would have a size of:
4. How old is my teacher?
5. The weight distribution of Unicorns is approximately normal with a mean of 1, 000 lbs. and a standard deviation of 25 lbs. In a group of 20 randomly selected unicorns, what is the standard deviation of the sampling distribution ("sigma of x bar" )?
6. The mean and standard deviation of a (large) population are 200 and 20, respectively. If 100 data points are selected at random from this population, what is the probability that the mean of this sample will be greater than 202?
7. It is a technique in selecting n elements from a population with size N. Samples are repeatedly drawn from a population.
8. The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?
9. The weights of unicorns are known to have a mean of 1000 and a standard deviation of 25. What is the probability that the average weight of 25 randomly selected unicorns is greater than 1010 pounds?
10. A sample of 30 women finds the mean height to be 62.3 in The population standard deviation was found to be 1.5 in. Find the margin of error of women's heights with a 95% CL.
11. A population consists of 5 members. If samples of 3 are taken with replacement, how many possible samples are there?
12. A z-score tells you _____
13. Any data set of size N has a number of corresponding sampling distributions, for sample sizes n=1 to n=N. What is the size of each of these sampling distributions?
14. The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were:13.2, 5.1, 7.5, 8.0, 12.7, 7.6, 13.8, 14.5, 7.7, and 10.5. Determine a 99 percent confidence interval for the mean time for all players. (Assume that the population standard deviation is equal to 3.3)
15. The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. What is the standard deviation of the sampling distribution?
16. The mean and standard deviation of a (large) population are 200 and 20, respectively. If 64 data points are selected at random from this population, what is the probability that the mean value of these data points will be between 195 and 200?
17. An automobile insurer has found that repair claims have a mean of $ 920 and a standard deviation of $ 870. Suppose that the next 100 claims can be regarded as a random sample from the long-run claims process.The probability that the mean of the next 100 claims is larger than $ 1000 is approximately
18. The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting 100 data values with a mean greater than 202?
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