Un gerente de producción desea determinar si existe diferencia entre a productividad de los trabajadores del turno matutino y los de turno vespertino. Para ello, se tomó una muestra aleatoria de 30 trabajadores de cada turno y se encontró que los trabajadores del turno matutino produjeron en promedio 68 artículos en el turno, con una desviación estándar de 16 , en tanto que el turno vespertino produjo en promedio 65.5 articulos, con una desviación estándar de 17 . ¿Existe diferencia entre la productividad de los dos turnos a un nivel de significancia de 0.01 ?

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

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

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?