Random-Number Generators Using statistical software or a graphing calculator with advanced statistical features, randomly generate a sequence of 20 integer values, each either 0 or 1. Conduct a runs test at the = 0.05 level of significance to verify that the sequence of integers is random.
Step 1 of 5) Random-Number Generators Using statistical software or a graphing calculator with advanced statistical features, randomly generate a sequence of 20 integer values, each either 0 or 1. Conduct a run test at the = 0.05 level of significance to verify that the sequence of integers is random. The Shape of the Sampling Distribution of x If X Is Normal If a random variable X is normally distributed, the sampling distribution of the sample mean, x, is normally distributed. For example, the IQ scores of individuals are modeled by a normal random variable with mean m = 100 and standard deviation s = 15. The sampling distribution of the sample means, x, the mean IQ of a simple random sample of n = 9 individuals, is normal, with mean mx = 100 and standard deviation sx = 15 29. See Figure 4. Describing the Distribution of the Sample Mean Problem The IQ, X, of humans is approximately normally distributed with mean m = 100 and standard deviation s = 15. Compute the probability that a simple random sample of size n = 10 results in a sample means greater than 110. That is, compute P1x 7 1102.
