# Data distribution questions and answers Recent questions in Data distributions
Data distributions
ANSWERED ### z-scores can be used to identify ?, ?, ? values.

Data distributions
ANSWERED ### Explain TWO strengths in using mean as a measure of central tendency.

Data distributions
ANSWERED ### The one figure you would request from the given three figures if you are applying for an entry-level job at the large firm and informed of the mean, or mode salary.

Data distributions
ANSWERED ### Explain the additional measure of central tendency would be appropriate to report with these data based on their findings.

Data distributions
ANSWERED ### a. The range of WR scores that would contain about 95% of the scores in the drug dealer sample. Given info: The data have mount-shaped, symmetric distribution. $$\displaystyle{n}={100},\overline{{{x}}}={39},{s}={6}$$. b. The proportion of scores that lies above 51. c. The range of WR scores that contain nearly all samples of drug dealer sample.

Data distributions
ANSWERED ### Your son has just gotten his driver's license and your bank account is about to get a little (a lot?) lighter. To help mitigate the impact on your finances, you have opted for a high deductible auto insurance policy. The deductible on your policy is $4000, which means that you will pay the first$4000 of any damages and then the insurance will cover the rest. Because of this, if there is an accident for which the damages are less than $4000, you aren't even going to file a claim with the insurance company. The less they know, the better? You will just pay it out of pocket. You believe that any accident will result in a damage amount which is normally distributed with a mean of$4500 and a standard deviation of $1500. The value of your son's car is only$7500, so that is the upper bound on the damage amount because in that case, you can junk the car and buy a different one for $7500. The lower bound on damages is obviously$0. The probability of an automobile accident this year is 7.5%. Build a Monte Carlo simulation model to show your out of pocket expenses in this situation. If there is no accident, then there is no out of pocket expense. Analyze the results of the 1000 iterations to find the following as a percentage of the 1000 interactions: 1. How often a claim was filed (damage met deductible). 2. How often you ended up buying a different car. Also, calculate your expected out of pocket expense. For these three questions, put a cell reference in Cells B4:B6 to wherever you have calculated those values in your spreadsheet so that I don't have to hunt for them.

Data distributions
ANSWERED ### a) What does a z-score indicate? b) What are the three major uses of z-scores with individuals scores?

Data distributions
ANSWERED ### To determine and explain: Which data entries are unusual and very unusual. Given info: The mean speed and standard deviation for a sample of vehicles along a stretch of highway are 67 miles per hour and 4 miles per hour, respectively. Also, the speeds for eight vehicles are as follows: 70,78,62,71,65,76,82,64

Data distributions
ANSWERED ### A privately owned liquor store operates both a drive-in facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-in and walk-in facilities are in use, and suppose that the joint density function of these variables is $$f(x,y)=\begin{cases}\frac{2}{3}(x+2y) & 0\leq1.0\leq y\leq1\\ 0, & elsewhere\end{cases}$$ 0, elsewhere. a. Find the marginal density of X. b. Find the marginal density of Y. c. Find the probability that the drive-in facility is busy less than one-half of the time.

Data distributions
ANSWERED ### Do most researchers still insist on at least interval level of measurement as a condition for the use of parametric statistics?

Data distributions
ANSWERED ### Whether the statement is true or false "There is not one particular frequency distribution that is correct, but there are frequency distributions that are less desirable than others."

Data distributions
ANSWERED ### a. Organize costs as an ordered array. b. Construct the frequency distribution and percentage distribution for the given data. c. Explain that the basketball game is concentrated around which class group.

Data distributions
ANSWERED ### ACTIVITY G: Continuous Probability Distributions 1. The data records the length of stay of engineering students in the university. We will assume a uniform distribution between 5 to 7 years, inclusive. What is the probability that a randomly chosen engineering student will stay at most 6 years?

Data distributions
ANSWERED ### Whille comparing two distributions, the reason why it is best to use relative frequency histograms rather than frequency histogram.

Data distributions
ANSWERED ### Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article “Body Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania” (Australian Journal of Zoology, Vol. 60, No. 3, pp. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of Tasmania. The weights of the male lowland copperhead in Tasmania have a mean of 812.07 g and a standard deviation of 330.24 g; the weights of the male tiger snake in Tasmania have a mean of 743.65 g and a standard deviation of 336.36 g. a. Determine the z-scores for both a male lowland copperhead snake and a male tiger snake whose weights are 850 g. b. Under what conditions would it be reasonable to use z-scores to compare the relative standings of the weights of the two snakes? c. Assuming that a comparison using z-scores is legitimate, relative to the other snakes of its type, which snake is heavier?

Data distributions
ANSWERED ### Kruskal-Wallis test is a generalization of Mann-Whitney test for more than two independent sample Select one: True False

Data distributions
ANSWERED ### Solve the following 1. If the joint probability distribution of X and Y is given by $$\displaystyle{f}{\left({x},{y}\right)}={\frac{{{x}+{y}}}{{{30}}}}$$ for $$\displaystyle{x}={0},{2},{3}$$; $$\displaystyle{y}={0},{1},{2}$$ Find a. $$\displaystyle{P}{\left({X}\leq{2},{Y}={1}\right)}$$ b. $$\displaystyle{P}{\left({X}{>}{2},{Y}\leq{1}\right)}$$ c. $$\displaystyle{P}{\left({X}{>}{Y}\right)}$$

Data distributions
ANSWERED ### Days to Maturity for Short-Term Investments. Note that there are 40 observations, the smallest and largest of which are 36 and 99, respectively. Apply the preceding procedure to choose classes for limit grouping. Use approximately seven classes. Note: If in Step 2 you decide on 10 for the class width and in Step 3 you choose 30 for the lower limit of the first class, then you will get the same classes as used in Example; otherwise, you will get different classes (which is fine). TABLE Days to maturity for 40 short-term investments $$\displaystyle{b}{e}{g}\in{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}{\left\lbrace{\left|{c}\right|}{c}{\mid}\right\rbrace}{h}{l}\in{e}{70}&{64}&{99}&{55}&{64}&{89}&{87}&{64}\backslash{h}{l}\in{e}{62}&{38}&{67}&{70}&{60}&{69}&{78}&{39}\backslash{h}{l}\in{e}{75}&{56}&{71}&{51}&{99}&{68}&{95}&{86}\backslash{h}{l}\in{e}{57}&{53}&{47}&{50}&{55}&{81}&{80}&{98}\backslash{h}{l}\in{e}{51}&{36}&{63}&{66}&{85}&{79}&{83}&{70}\backslash{h}{l}\in{e}{e}{n}{d}{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}$$ Example Limit Grouping Days to Maturity for Short-Term Investments Table 2.6 displays the number of days to maturity for 40 short-term investments. The data are from BARRON’S magazine. Use limit grouping, with grouping by 10s, to organize these data into frequency and relative-frequency distributions.

Data distributions
ANSWERED ### Is $$\displaystyle{E}{\left({X}^{{2}}\right)}$$ equal to $$\displaystyle{\left({E}{\left({X}\right)}\right)}^{{2}}$$?
ANSWERED 