Section 5.2 Learning Check||Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|A random sample of size 25 is to be taken from a population which is normally distributed with mean 60 and standard deviation 10. The sampling distribution of the average of the observations in our sample is # normal with mean 60 and standard deviation 10. %% normal with mean 60 and standard deviation 2. %% normal with mean 60 and standard deviation 0.4. %% normal with mean 12 and standard deviation 2. %%|A famous result says that in many situations for large sample sizes the sampling distribution of the sample mean is approximately normal. This famous result is # the law of large numbers. %% the central limit theorem. %% the multiplication rule. %% the 68-95-99.7 rule. %%|Suppose that you take a random sample of 100 from a population with mean 1215 and standard deviation 110. The probability that the sample mean of these 100 observations is less than 1190 is # 0.0116 %% 0.1335 %% 0.4090 %% 0.4562 %%|A random sample of size 100 is taken from a population with the mean 75 and the variance 256. What is the probability that the sample mean will fall between 67 and 83? # less than 0.0001. %% about 0.10. %% 0.4601. %% more than 0.9998 %%