Question 5 If \( n-28, \bar{x}(x \)-bar \( )=39 \), and \( s=6 \), construct a confidence interval at a \( 80 \% \) confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place.

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 -

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.

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

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: \( \mathrm{z}=\square \)

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?