Sampling Distribution Quiz 4 (10 MCQs)

Quiz Instructions

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1. 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.
2. A population consists of 5 members. If samples of 3 are taken with replacement, how many possible samples are there?
3. A z-score tells you .....
4. 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?
5. 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)
6. 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?
7. A sample of 20 cupcakes found the interval for calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?
8. 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?
9. 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
10. 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?