Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the size of a sample increases, the mean of the distribution of sample means increases. Choose the correct answer below. A. False. As the size of a sample increases, the mean of the distribution of sample means decreases. C. True. D. False. The mean of a distribution of sample means changes independently of the corresponding sample size.

In a normal distribution, a data value located 1.2 standard deviations below the mean has Standard Score: \( \mathrm{z}=\square \) In a normal distribution, a data value located 2.4 standard deviations above the mean has Standard Score: \( \mathrm{z}=\square \) In a normal distribution, the mean has Standard Score: \( \mathrm{z}=\square \)

A set of exam scores is normally distributed with a mean \( =74 \) and standard deviation \( =8 \). \( 95 \% \) of the data values lie between 58 \( \% \) of the exam scores are between 66 and 74 . \( \% \) of the exam scores are between 74 and 90 . \% of the exam scores are greater than or equal to 66 .

In a class of 40 leamers, 32 take Mathematics, 23 History and 4 do not take Mathematics or History. Draw a Venn diagram to illustrate the given information. How many learners take Mathematics and History Determine the Following: the probability that a learner takes History and Mathernatics. the probability that a learner does not take Mathematics. How many learners take History but not Mathematics?

Consider the Standard Normal distribution. The mean is always \( \square \) and the standard deviation is always

Which of the following statements are TRUE about the Normal Distribution? Check all that apply. The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. \( 50 \% \) of the data values lie at or above the mean. about \( 95 \% \) of all data values lie within 1 standard deviation of the mean. The mean, median and mode are all equal and occur at the center of the distribution. Data values are spread evenly around the mean. Data values farther from the mean are less common than data values closer to the mean.