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A total of 182 college students reported their actual weights and then answered the question, "What is your ideal weight?" The data were collected in the Fall semester of 1999.(Source: William Harkness, Pennsylvania State University) In the table below, we show the averages of the di fferences in actual and reported ideal weights for women and men, separately. Just to make it clear, the average woman considered herself to be about 10.7 lbs over her ideal weight, while the average man considered himself to be about 2.5 lbs over his ideal weight.
Women MenMean di fference 10.7 2.5Standard deviation 11.3 13.8Number of students 119 63
Use confidence intervals to determine whether or not (a) we can be 95% certain that the average woman considers herself overweight as compared to her ideal weight; and (b) whether or not the same is true of the men.
The number of traffic accidents that occurs on particular stretch roas during a month follows a Poisson distribution with mean of 8.5. Find the probability of observing exactly three accidents of this stretch of road next month.
Choose any Markov Chain with a 3x3 transition matrix that is irreducible and aperiodic. The reason it needs to be irreducible and aperiodic is because we are looking for a Markov Chain that converges.
At α = 0.01, is the degree of certainty independent of credits earned?
At the significance level 0.01 is there sufficient evidence to conclude that a difference exists in the mean time required for the elimination of the rash?
Why is it important to study ethics in statistics? Have you seen statistics misused? Without naming specific companies or people, can you provide examples?
You are asked to estimate the chance that the sum will be positive.
Use normal disrtibution of fish lengths for which the mean is 8 inches and the standard deviation is 5 inches. Assume the variable x is normally distributed.
Determine the point estimate and 95% confidence interval for the mean family dental expenses of all employees of the company.
If a baseball player's batting average is 0.340 or 34%, find the probability that the player will have a bad season and only score at most 60 hits in 200 times at bat?
Share 1 real-world binomial distribution situation and 1 real-world Poisson distribution situation. Be sure to explain why each example is defined as binomial or Poisson.
What would be a good example of a null and alternative hypotheses for a decision relevant in life? What Type I and Type II errors could occur with your decision-making process?
What are the odds against drawing a card from an ordinary deck of cards and getting a spade?
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