# Find the value of the linear correlation coefficient

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13. Find the value of the linear correlation coefficient r. The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.
14. If z is a standard normal variable, find the probability.
-0.0344 0.0344 15. Solve the problem. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.
16. The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability.
17. Use the normal distribution to approximate the desired probability. Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. 0.1871 0.4936 0.2946 0.3229
18. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. In a random sample of 184 college students, 97 had part-time jobs. Find the margin of error for the 95% confidence interval used to estimate the population proportion.
0.00266 0.126 0.0649 19. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 125, x = 72; 90% confidence