2.16 Distributions and appropriate statistics, Part II. For each of the following, state whether you expect the distribution to be symmetric, right skewed, or left skewed. Also specify whether the mean or median would best represent a typical observation in the data, and whether the variability of observations would be best represented using the standard deviation or IQR. Explain your reasoning. (a) Housing prices in a country where 25% of the houses cost below $350,000, 50% of the houses cost below $450,000, 75% of the houses cost below $1,000,000 and there are a meaningful number of houses that cost more than $6,000,000. (b) Housing prices in a country where 25% of the houses cost below $300,000, 50% of the houses cost below $600,000, 75% of the houses cost below $900,000 and very few houses that cost more than $1,200,000. (c) Number of alcoholic drinks consumed by college students in a given week. Assume that most of these students don't drink since they are under 21 years old, and only a few drink excessively. (d) Annual salaries of the employees at a Fortune 500 company where only a few high level executives earn much higher salaries than all the other employees.

Q: Joseph is statistics instructor. He is interested in seeing if his fall class or spring class tends…

A: B. 0.0174

Q: The grades on the second statistics test for Ms. Rose's class are in the following list. Complete…

A: We first arrange the data A, B, B, C, C, C, C, C, C, C, C, C, D, D, D, D, D, D, F, F, F

Q: The average fruit fly will lay 400 eggs into rotting fruit. A biologist wants to see if the average…

A: From the provided information, Sample size (n) = 12 Level of significance (α) = 0.05

Q: Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips…

A: Given that, Flip a coin 10 times and record the observed number of heads and tails. For example,…

Q: Before the furniture store began its ad campaign, it averaged 182 customers per day. The manager is…

A: (a)   Determine the type of study.   The type of study used t-test for a population mean.   (b)…

Q: Which of the following statements about a negatively skewed distribution is true? O The distribution…

A:

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A: The given situation follows binomial distribution. The proportion of people born in United States…

Q: The sample covariance Sxy measures

A: Given that   The sample covariance Sxy measures

Q: Find t0.995t0.995 for TT distribution with 11 degrees of freedom. t0.995

A: Given information: Level of significance (α)=0.01  d.f.=11 Find: t-critical value Define, The t…

Q: Find f0.01f0.01 for FF distribution with (55,77) degrees of freedom. f0.01

A: The given degrees of freedom is (55, 77).

Q: Suppose the value of a stock varies each day from $12 to $27 with a uniform distribution.  Find σ

A:

Q: the mean of a distribution is smaller than the median, what does this tell us about the…

A: HERE GIVEN  MEDIAN> MEAN

Q: The average fruit fly will lay 407 eggs into rotting fruit. A biologist wants to see if the average…

A: Answer  Given  417,435,426,414,435,414,405,439,414,424,419,429,405,433,391,406 sample size [n] = 16…

Q: The average fruit fly will lay 389 eggs into rotting fruit. A biologist wants to see if the average…

A: Part A:Given that:The data points are independent.The population standard deviation is unknown.The…

Q: A survey was conducted two years ago asking college students their top motivations for using a…

A: The random variable is Response. It has 5 categories which are rewards, low rates, cash back,…

Q: The national distribution of fatal work injuries in a country is shown in the table to the right…

A: The data table of the of fatal work injuries' national distribution:It is belived that the…

Q: Use the binomial distribution formula to:     n = 6, x = 5, p = 0.40  n = 8, x = 5, q = 0.45 n =…

A: 1) From the provided information,

Q: How is the shape of the F distribution affected by the degrees of freedom?

A: Given data How is the shape of F distribution affected by the degrees of freedom

Q: Decide if each of the following statements is True or False. Transforming an entire distribution of…

A: Solution: The given statement is “Transforming an entire distribution of scores into z-scores into…

Q: The average fruit fly will lay 418 eggs into rotting fruit. A biologist wants to see if the average…

A: Note: If the post contains multiple sub parts in the question only allow to do first 3 sub parts as…

Q: The average fruit fly will lay 421 eggs into rotting fruit. A biologist wants to see if the average…

A: 1.   In this case the population distribution is normal and the population standard deviation is not…

Q: On the first day of class, a statistics professor asked her students to report their grade point…

A: Types of distribution in the graph of histogram:   In the histogram, if tail is elongated towards…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!