statistics

posted by .

A physician routinely makes physical examinations of children. She is concerned that a three-year-old girl has a height of only 87.8 cm. Heights of three-year-old girls have a mean of 97.5 cm and a standard deviation of 6.9 cm (based on data from the National Health and Nutrition Examination Survey).
a. Use the range rule of thumb to find the maximum and minimum usual heights of three-year-old girls.
b. Based on the result, is the height of 87.8 cm unusual?
c. Should the physician be concerned?

• statistics -

a. mean ± 2 SD = ?

b. Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.

Similar Questions

1. Statistics

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be less than 70 inches?
2. statistics

The height of 18-year-old men are approximately normally distributed, with mean of 68 inches and a standard deviation of 3 inches. What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall?
3. computers in day care

an encyclopedia on cd-rom would be most appropriste for a typical tow year old, three year old, four year old, eight year old
4. Probability and Statistics 2

The numbers below represents heights (in feet) of 3-year old elm trees, where leaves represent fractional parts of each value. Stems Leaves 5 1,8 6 1,2,4,7,8,9 7 0,2,3,3,4,5 8 1,1,2,3,5,6,6,7,7,9,9 9 0,1,3,4 a) Find the five number …
5. Statistics

A simple random sample of 50 female 14-year-olds is selected. The sample mean height of the girls is found to be 62 inches. Assume the height of 14-year-old girls is normally distributed with a standard deviation of 5 inches. 1. Based …
6. stat

A physician routinely makes physical examinations of children. She is concerned that a three-year-old girl has a height of only 87.8 cm. Heights of three-year-old girls have a mean of 97.5 cm and a standard deviation of 6.9 cm (based …
7. Statistics

The heights of 18 year old men are approximately normally distributed, with a mean of 67 inches and a standard deviation of 5 inches. What is the probability an 18 year old man selected at random is between 66 and 68 inches?
8. statistics

Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.46. The table describes the probability of having x number of girls.Determine whether the …
9. statistics

Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.42. The table on the right describes the probability of having x number of girls. Determine …
10. Statistics

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 65 and 67 inches …

More Similar Questions