If a \( z \)-score is zero, which of the following must be true? Explain your reasoning. - The mean is zero. - The corresponding \( x \)-value is zero. A. The corresponding \( x \)-value is equal to the mean. divided by the standard deviation. B. The mean is zero, because the mean is always equal to the \( z \)-score. C. The corresponding \( x \)-value is zero, because the \( z \)-score is equal to the \( x \)-value divided by the standard deviation.

In a normal distribution, a data value located 1.4 standard deviations below the mean has Standard Score: \( \mathrm{z}=-1.4 \) In a normal distribution, a data value located 2.3 standard deviations above the mean has Standard Score: \( \mathrm{z}=2.3 \) In a normal distribution, the mean has Standard Score: \( \mathrm{z}=\square \)

The weights for newborn babies is approximately normally distributed with a mean of 6 pounds and standard deviation of 1.5 pounds. Consider a group of 1100 newborn babies: 1. How many would you expect to weigh between 3 and 8 pounds? 2. How many would you expect to weigh less than 7 pounds? 3. How many would you expect to weigh more than 6 pounds? 4. How many would you expect to weigh between 6 and 9 pounds?

A variable is normally distributed with mean 18 and standard deviation 9 . Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 17.

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 .

PENSAMIENTO MATEMÁTICO 1 3. Homero acaba de abrir una bolsa de chocolates confitados y los clasifica por color encontrando 5 naranjas, 7 verdes, 6 azules, 8 amarillos, 5 rojos, y 6 cafés. Realiza una gráfica de columnas para representar lo que encontró en la bolsa -