The distribution of heights of 19 -year-old women is approximately normal, with a mean of 170 cm and a standard deviation of 5 cm . a What percentage of these women have heights: i between 155 and 185 cm ? ii greater than 180 cm ? iii between 160 and 175 cm ? b In a sample of 5000 of these women, approximately how many have heights greater than 175 cm ?

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]

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Consumer Reports magazine of "best buy, recommended, not recommended" [Select ]

The test scores of 40 students are listed below. Find \( \mathrm{P}_{85} \). \( \begin{array}{l}30,35,43,44,47,48,54,55,56,57,59,62,63,65,66,68,69,69,71,72,72,73, \\ 74,76,77,77,78,79,80,81,81,82,83,85,89,92,93,94,97,98\end{array} \)

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