The scores on a test are normally distributed with a mean of 80 and a standard deviation of 16. What is the score that is 2 standard deviations below the mean? A score of \( \square \) is 2 standard deviations below the mean.

I. Se refieren a indicadores de posición que dividen en cuatro partes porcentuales iguales una distribución de datos ordenados. II. El segundo cuartil corresponde a la mediana de la distribución de datos. III. El tercer cuartil indica el valor mínimo que toma el \( 75 \% \) de la distribución ordena de datos. IV. El cuartil uno es equivalente al decil 2 . De las anteriores afirmaciones cuál o cuáles son verdaderas: Seleccione una: I y IV II I y II II y III.

(c) Consider the hypotheses \( \mathrm{H}_{0}: \mu=104 \) versus \( \mathrm{H}_{1}: \mu>104 \). Explain what the director is testing. Perform the test at the \( \alpha=0.01 \) level of significance. Write a Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean lQ score is actually not greater than 104 . The director is testing if the sample provided sufficient evidence that the population mean lQ score is actually greater than 104. C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 104 . D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 104. Find the test statistic for this hypothesis test. 0.83 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. \( \square \) (Round to three decimal places as needed.)

If the number 31 is added to the data set \( 3,5,6,6,8,11,12,22,26 \), by what value will the average of the data set increase?

(b) Consider the hypotheses \( \mathrm{H}_{0}: \mu=103 \) versus \( \mathrm{H}_{1}: \mu>103 \). Explain what the director is testing. Perform the test at the \( \alpha=0.01 \) level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103 . B. The director is testing if the sample provided sufficient evidence that the population mean lQ score is actually not equal to 103 . The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 103 . C. Thesting if the sample provided sufficient evidence that the population mean lQ score is actually greater than 103 . Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) an example

Find the test statistic for this hypothesis test. 1.72 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (Round to three decimal places as needed.) Set more help -