/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q3CRE In Exercises 1-3, use the follow... [FREE SOLUTION] | 91影视

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Chapter 6: Q3CRE (page 226)

In Exercises 1-3, use the following recent annual salaries (in millions of dollars) for players鈥俹n鈥倀he鈥侼.Y.鈥侹nicks鈥俻rofessional鈥俠asketball鈥倀eam.

23.4, 22.5, 11.5 ,7.1 ,6.0 ,4.1 ,3.3, 2.8, 2.6, 1.7, 1.6 ,1.3, 0.9 ,0.9, 0.6.

NY Knicks Salaries Round each of the salaries to the nearest million dollars, then construct a dotplot. Do the values appear to be from a population having a normal distribution?

Short Answer

Expert verified

The dot plot is shown below:

The sample observations do not seem to be part of a normally distributed population.

Step by step solution

01

Rounding the salaries to the nearest million dollars

The salaries are rounded to nearest million dollars as follows:

23, 23, 12, 7, 6, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1

02

Sketch a dot plot

Steps to construct a dot plot are:

1. Draw a line using real numbers .

2. Mark dots for each value on the line.

3. If the value repeats, mark the dot above the previous one.

The dot plot is shown below:

03

Determine normality

If the pattern described by a dot plot resembles an approximate bell shape, it implies the observations are taken from a normally distributed population. Otherwise, the distribution is non-normal. Thus, the dot plot shows that the distribution does not appear to follow a normal distribution.

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Most popular questions from this chapter

In Exercises 9鈥�12, find the indicated IQ score and round to the nearest whole number. The graphs depict IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler IQ test).

Body Temperatures Based on the sample results in Data Set 3 鈥淏ody Temperatures鈥� in Appendix B, assume that human body temperatures are normally distributed with a mean of 98.20掳F and a standard deviation of 0.62掳F.

a. According to emedicinehealth.com, a body temperature of 100.4掳F or above is considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.4掳F is appropriate?

b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 2.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.)

Basis for the Range Rule of Thumb and the Empirical Rule. In Exercises 45鈥�48, find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-2.

About______ % of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).

Standard normal distribution, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.

Greater than 0

:In Exercises 13鈥�20, use the data in the table below for sitting adult males and females (based on anthropometric survey data from Gordon, Churchill, et al.). These data are used often in the design of different seats, including aircraft seats, train seats, the theater seats, and classroom seats. (Hint: Draw a graph in each case.)

Mean

St.Dev.

Distribution

Males

23.5 in

1.1 in

Normal

Females

22.7 in

1.0 in

Normal

Find the probability that a male has a back-to-knee length less than 21 in.
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