Determine whether the statement is true or false. If the statement is false, make the necessary change(s) fo produce a true statement. When finding the mean, it is necessary to arrange the data items in order. Choose the correct answer below. A. The statement is true. B. The statement is false. To make the statement true, change "mean" to "median", C. The statement is false. To make the statement true, change "mean" to "mode", D. The statement is false. To make the statement true, change "mean" to "median" and add "not" between "is" and "necessary",

Find the median of the following data set. Assume the data set is a sample. \[ 38,51,34,40,44,41,41,47,46,46,45 \]

A variable \( x \) is normally distributed with mean 18 and standard deviation 4 . Round your answers to the nearest hundredth as needed. a) Determine the \( z \)-score for \( x=25 \). b) Determine the \( z \)-score for \( x=11 \). \[ z= \] c) What value of \( x \) has a \( z \)-score of 3 ? d) What value of \( x \) has a \( z \)-score of -1.5 ? e) What value of \( x \) has a \( z \)-score of 0 ? \( x=18 \)

The length of human pregnancies is approximately normal with mean \( \mu=266 \) days and standard deviation \( \sigma=16 \) days (a) What is the probability that a randomly selected pregnancy lasts less than 262 days? The probability that a randomly selected pregnancy lasts less than 262 days is approximately (Round to four decimal places as needed.)

A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. Choose a student at random from this group and call his time for the mile \( Y \). What is \( P(Y<6) \) ? Interpret this value. \( P(Y<6)=0.0668 \). There is about a \( 6.68 \% \) chance that the population mean is less than 6 minutes. \( P(Y<6)=0.9332 \). There is about a \( 93.32 \% \) chance that this student will run the mile in under 6 minutes. \( P(Y<6)=0.774 \). There is about a \( 77.4 \% \) chance that this student will run the mile in under 6 minutes. \( P(Y<6)=0.9332 \). There is about a \( 93.32 \% \) chance that the population mean is less than 6 minutes. \( P(Y<6)=0.0668 \). There is about a \( 6.68 \% \) chance that this student will run the mile in under 6 minutes.

The length of human pregnancies is approximately nermal with mean \( \mu=206 \) days and standard deviation \( a=16 \) days. Complete parts (a) through (f). (a) What is the probability that a randomly selected pregnancy lasts less than 262 days? The probability that a randomly selected pregnaney lasts less than 262 days is approximately 0.4013 , (Round to four decimal places as needed.) Interpret this probability. Select the correct choice and fill in the answer bex within your choice. (Round to the nearest integer as needed.) A. If 100 pregnant individuals were selected independently from this population, we would expect \( \square \) pregnancies to last less than 262 days. B. If 100 pregnant individuals were selected independently from this population, we would expect \( \square \) pregnancies to last exactly 262 days.