Problem 5 ( 10 points). The height of fifth-grade students in elementary school are normally distributed with mean ( \( \mu \) ) equal to 48 inches and a standard deviation equal to 2.8 inches. How tall in inches would a fifth-grade student need to be to have a height at the \( 91^{\text {st }} \) percentile?

Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4140 patients treated with the drug, 137 developed the adverse reaction of nausea. Construct a \( 90 \% \) confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)

Suppose the correlation coefficient between a baby's weight and the number of coffee shops in Plumville is 0.87 . Which statement must be true? A. As the baby gains weight, the number of coffee shops tends to increase. B. Having more coffee shops around causes the baby to gain weight. C. As the baby gains weight, the number of coffee shops tends to decrease.

A data set consists of the following data points: \[ (2,4),(4,7),(5,12) \] The line of best fit has the equation \( y=2.5 x-1.5 \). What does this equation predict for a value of \( x=7 \) ? A. 19 B. 17.5 C. 16 D. 20.5

Suppose that there were a strong correlation between the variables \( d \) and \( f \). Which of these is a true statement? A. \( f \) must cause \( d \). B. \( d \) must cause \( f \). C. \( d \) must not cause \( f \). D. \( d \) may cause \( f \).

Лабораторна робота № 1 Пета роботи: - поглибити теоретичні знання з теми: "Первинна обробка дослідних даних"; - прищепити практичні навички аналізу даних, побудови статичного групованого ряду, побудови гістограми та функції розподілу. Зміст роботи: - знайти розмах та об’єм вибірки; - побудувати групований статистичний ряд; - побудувати гістограму вибірки; - побудувати функцію розподілу.