Question

In: Statistics and Probability

1. A distribution that is skewed right has mean 150. What can you say about the...

1. A distribution that is skewed right has mean 150. What can you say about the value of its median?

2. A sample of 7 numbers has mean 142 and standard deviation s = 0. What can you say about the values of the numbers? Be precise!

Solutions

Expert Solution

1. Since the distribution is skewed right, it has longer tail on the right side. Thus, we possibilities of observing large values but not as often as observing small values. This has an effect of increasing the mean (pulling the mean towards right). The median is mostly insensitive to such occassionaly occuring large values (or outliers) and since, the smaller values have high frequency, it is expected that the median won't shift right as much as the mean does. Hence, typically we can expect the mean to be larger than the median. Hence in this case, the median is smaller than 150.

2.


Related Solutions

A large Distribution of Health Insurance Claims is Right Skewed, with a Mean Of $600 and...
A large Distribution of Health Insurance Claims is Right Skewed, with a Mean Of $600 and Standard Deviation of $50. Samples of 36 Claims Each are Selected to form a Sampling Data Base. If a Random Sample of 36 Claims are chosen, what is the probability that the Sample Mean of those claims are less than $20.
Lifetimes of a certain brand of lightbulbs is known to follow a right-skewed distribution with mean...
Lifetimes of a certain brand of lightbulbs is known to follow a right-skewed distribution with mean 24 months and standard deviation 2 months. Suppose that a sample of 52 lightbulbs is taken. What is the probability that the average lifetime of these bulbs is greater than 24.32 months? Select one: a. 0.0000 b. 0.7498 c. 0.8749 d. 0.1251 e. Not enough information has been given to answer the question. f. 0.2502 Select one: a. 0.0000 b. 0.7498 c. 0.8749 d....
Suppose X a population has a distribution that is skewed to the right and µ =400...
Suppose X a population has a distribution that is skewed to the right and µ =400 and σ =24. If a random sample of size 144 is drawn from the population:    a) What is the name of theorem that allows us to solve this problem? ___________    b) What is the reason that we use that theorem in this case? ___________    c) Compute P(x̄ > 397) ___________ In part c, x̄ is the sample mean. show work please
Suppose X a population has a distribution that is skewed to the right and µ =400...
Suppose X a population has a distribution that is skewed to the right and µ =400 and σ =24. If a random sample of size 144 is drawn from the population: (Show work) a) What is the name of theorem that allows us to solve this problem? ___________ b) What is the reason that we use that theorem in this case? ___________ c) Compute P( > 398) ___________ In part c, is the sample mean.
What does it mean to say that a buyer has a right, not an obligation?
What does it mean to say that a buyer has a right, not an obligation?
Imagine that we have a population that is positively (right) skewed that has a mean of...
Imagine that we have a population that is positively (right) skewed that has a mean of 114 and a standard deviation of 12. Using a computer simulation program, Jake creates a sampling distribution of size n=5 from this population and Alex creates a sampling distribution of size n=40 from this population. How would Alex’ and Jake’s sampling distributions compare to each other? Group of answer choices They would have the same mean and shape, but would differ in standard error....
D=250-0.5Q 1.What can you say about the demand as the price increases from $150 to $200?...
D=250-0.5Q 1.What can you say about the demand as the price increases from $150 to $200? *    a.Elastic. b.Inelastic. c.Unit elastic. d.Perfectly inelastic 2.Which of the following is a determinant of price elasticity of demand? * a.Availability of close substitutes. b.Income. c.Nature of commodity. d.All of the above. 3.What is the quantity demanded at price $150? * a.175. b.200. c.100. d.Cannot be determined. 4.What is the price at quantity demanded 100? * a.$300. b.$100. c.$200. d.Cannot be determined. 5.What...
The time that people require to react to a stimulus usually has a right-skewed distribution, as...
The time that people require to react to a stimulus usually has a right-skewed distribution, as lack of attention or tiredness causes some lengthy reaction times. Reaction times for children with attention deficit hyperactivity disorder (ADHD) are more skewed, as their condition causes more frequent lack of attention. In one study, children with ADHD were asked to press the spacebar on a computer keyboard when any letter other than X appeared on the screen. With 2 seconds between letters, the...
If a distribution is skewed right, then the median for this population is smaller than the...
If a distribution is skewed right, then the median for this population is smaller than the median for the sampling distribution of sample means with sample size 80. True or False
1.True/False. Explain. (a)The normal is a right skewed distribution.____________________________________________________________________________________________________________________ _________________ (b)If a normal distribution is described...
1.True/False. Explain. (a)The normal is a right skewed distribution.____________________________________________________________________________________________________________________ _________________ (b)If a normal distribution is described by X ~ N(60, 5), then the median for this distribution is 60.___________________________________________________________________________ ___________________________________________________________________ (c)For a normal distribution when you decrease the standard deviation, the curve becomes more flatter._____________________________________________________________________ _________________________________________________________________________ 2.Jerome averages 16 points a game with a standard deviation of four points. Fill in the blanks. (a)ThenX~N(____,____). (b)Suppose Jerome scores ten points in a game.Then the z–value for Jerome’s score is _________. (c)This...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT