2.- Si las estaturas de un conjunto de personas adultas se distribuyen aproximadamente contorme a una curva normal y si su promedio aritmético y desviación estándar son respectivamente; 1.62 y 0.03 metros. Encuentre: (valor \( 10 \% \) ) A) La probabilidad de que un cierto número de personas tengan una estatura entre 1.64 y 1.67 . B) La probabilidad de que un cierto número de personas tengan una estatura entre la media y \( x=1.66 \).

Find the median. \( \begin{array}{l}0.88,1.18,0.64,1.62,0.75,0.85 \\ 1.18,1.53,0.91,0.88,1.39,1.07 \\ 0.47,1.39,0.85,1.07,1.72,0.75 \\ 1.12,0.89,0.56\end{array} \)

In order to monitor the ecological health of the Florida Everglades, various measurements are recorded at different times. The bottom temperatures are recorded at the Garfield Bight station and the mean of 30.4 C is obtained for 61 temperatures recorded on 61 different days. Assume a population standard deviation of 1.7 C , test the claim that the population mean is greater than 30.0 C . Use a 0.10 significance level. Decide whether to reject or fail to reject the null hypothesis and state your conclusion. You would [Select] [Select ] population mean is greater than 30.0 C .

Find the percentile of the data value. Data set: \( 3,13,10,6,3,3,13,6,3,13,2,13,15,4,9,3,12,10,6,13 \); data value: 6

A person's blood glucose level and diabetes are dosely related. Let \( x \) be a random variable measured in milligrams of glucose per deciliter ( \( 1 / 10 \) of a liter) of blood. Suppose that after a 12 -hoi fast, the random variable \( x \) will have a distribution that is approximately normal with mean \( \mu=87 \) and standard deviation \( \sigma=23 \). Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50 ) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) \( x \) is more than 60 (b) \( x \) is less than 110 (c) \( x \) is between 60 and 110 (d) \( x \) is greater than 125 (borderline diabetes starts at 125 )

Question 8 The heights of 10 -year-olds, regardless of gender, closely follow a Normal distribution with a mean of 56 inches and a standard deviation of 5 inches. a. What is the probability that a randomly chosen 10 -year-old is shorter than 48 inches? (Round to 4 decimal places.) b. If the tallest \( 10 \% \) of the class is considered "very tall", what is the height cutoff for "very tall"? (Round to 2 decimal places.) [SAB2]