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Chapter 2: Q 4.3. (page 103)

Trace the density curve onto your paper. Mark the approximate location of the median.

Short Answer

Expert verified

The curve is

Step by step solution

01

Step 1. Given

The figure is:

02

Step 2. Concept

A density curve has the same area underneath it as the horizontal axis and is always on or above it. A density curve depicts the overall pattern of distribution. The proportion of all observations that fall within an interval of values on the horizontal axis is represented by the area under the curve and above that interval.

03

Step 3. Explanation

In the figure, the approximate location of the median could be shown as:

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Most popular questions from this chapter

R2.4 Aussie, Aussie, Aussie A group of Australian students were asked to estimate the width of their classroom in feet. Use the dot plot and summary statistics below to answer the following questions.

(a) Suppose we converted each student's guess from feet to meters (3.28ft=1m). How would the shape of the distribution be affected? Find the mean, median, standard deviation, and IQR for the transformed data.

(b) The actual width of the room was 42.6feet. Suppose we calculated the error in each student's guess as follows: guess -42.6. Find the mean and standard deviation of the errors. How good were the students' guesses? Justify your answer.

Approximately locate the median (equal-areas point) and the mean (balance point) on a density curve.

R2.11 Fruit fly thorax lengths Here are the lengths in millimeters of the thorax for 49 male fruit flies: 18

Are these data approximately Normally distributed? Give appropriate graphical and numerical evidence to support your answer.

- Interpret a Normal probability plot.

Measure up Clarence measures the diameter of each tennis ball in a bag with a standard ruler. Unfortunately, he uses the ruler incorrectly so that each of his

measurements is 0.2inches too large. Clarence’s data had a mean of 3.2inches and a standard deviation of 0.1 inches. Find the mean and standard deviation of the corrected measurements in centimeters (recall that 1 inch = 2.54 cm).

Length of pregnancies The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean of 266days and standard deviation of16days. For each part, follow the four-step process.

(a) At what percentile is a pregnancy that lasts days (that’s about 8months)?

(b) What percent of pregnancies last between 240and 270days (roughly between 8months and 9months)?

(c) How long do the longest 20% of pregnancies last?

Another student in the class, Brent, is 74 inches tall. How tall is Brent compared with the rest of the class? Give appropriate numerical evidence to support your answer.
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