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Bias and variability. Figure 3.15 (on page 222) shows histograms of four sampling distributions of statistics intended to estimate the same parameter. Label each distribution relative to the others as high or low bias and as high or low variability.
Opinions of Hispanics. A New York Times News Service article on a poll concerned with the opinions of Hispanics includes this paragraph:
The poll was conducted by telephone from July 13 to 27, with 3,092 adults nationwide, 1,074 of whom described themselves as Hispanic. It has a margin of sampling error of plus or minus three percent- age points for the entire poll and plus or minus four
Population parameter (a)
Population parameter (b)
Population parameter (c)
Population parameter (d)
FIGURE 3.15 Determine which of these sampling distributions displays high or low bias and high or low variability, for Exercise 3.84.
Test scores on a university admissions test are normally distributed, with a mean of 500 and a standard deviation of 100. a) What is the probability that a randomly selected applicant scores between 425 and 575?
We often hear you can lie with statistics. This is one way of saying statistics can be easily mis-communicated. Find one example of how statistics are mis-communicated and explain why there was a mis-communication and what you would do to correct ..
two airplanes are flying in the same direction in adjacent parallel corridors. at time t 0 the first airplane is 10 km
Of those mountain climbers who attempt mt. McKinley, only 60% reach the summit. In a random sample of 14 mountain climbers who are going to attempt mt. McKinley, what is the probability of each of the following?
Graph the p.d.f and show that the probability of the part failing in the first 200 weeks is 1/8
Find the probability of drawing a straight flush in poker. A straight flush is 5 in a row in a single suit, but not a royal flush.
Analysis of weekly widget production reveals that the number of widgets X produced in a week is a random variable with mean μX = 200 and standard deviation σX = 20. What are the mean and the standard deviation of C?
Determine the binomial distribution for any random data. Also determine the probability greater than 4.
What statistical test did the researchers use to determine if there was a statistically significant difference in levels of self-esteem between the boys and the girls?
Workers drive the company vehicle to purchase lunch versus returning to the office to pick up their personal vehicles in order to purchase their lunch?
The same students increased their scores on a retest to: 85,79,75,95, and 84. At the 0.05 significance level, is the intervention plan helpful in increasing grades?
Prepare a critical analysis of a quantitative study focusing on protection of human participants, data collection, data management and analysis, problem statement, and interpretation of findings.
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