Chapter 6: Q6.1 (page 259)
What is a Density Curve
Short Answer
It is graphical representation of continuous variables' outcomes distribution (likelihood).
Chapter 6: Q6.1 (page 259)
What is a Density Curve
It is graphical representation of continuous variables' outcomes distribution (likelihood).
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Get started for freeBasis for the Range Rule of Thumb and the Empirical Rule. In Exercises 45–48, 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 = -2 and z = 2 (or within 2 standard deviation of the mean).
In Exercises 21–24, use these parameters (based on Data Set 1 “Body Data” in Appendix B):• Men’s heights are normally distributed with mean 68.6 in. and standard deviation 2.8 in.• Women’s heights are normally distributed with mean 63.7 in. and standard deviation 2.9 in. Executive Jet Doorway the Gulfstream 100 is an executive jet that seats six, and it has a doorway height of 51.6 in.
a. What percentage of adult men can fit through the door without bending?
b. Does the door design with a height of 51.6 in. appear to be adequate? Why didn’t the engineers design a larger door?
c. What doorway height would allow 40% of men to fit without bending?
Standard normal distribution. In Exercise 17-36, 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.
Less than -1.23
Births: Sampling Distribution of Sample Proportion When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg (where b = boy and g = girl). Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion?
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.
Between -4.27 and 2.34
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