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Consider two urns with the following composition: Urn 1 contains 5 red and 15 black balls, Urn 2 contains 8 red and 12 black balls. Our random experiment consists of choosing one of the two urns with equal probability and then drawing a sample (without replacement) of 3 balls. If 3 red balls are drawn, what is the probability they came from urn 1? How would the result change if the initial choice of the urn was as per the rule: Choose Urn 1 with probability 0.8 and Urn 2 with probability 0.2.
You do not need to collect data and actually conduct the test calculations. Rather,state the claim, define the null and alternate hypotheses, identify the test significance and the test statistic, and state the decision rule that will be used.
Between 180 and 230 (inclusive) of the drivers in the sample regularly wear a seatbelt? Hint: Use the BINOMDIST function in Excel.
Test whether there is any change in IQ after the training program. (The absolute value of t for 4 degrees of freedom at 1% level for one-tailed and two tailed tests are 3.747 and 4.604 respectively.
What proportion of the first 70 digits in the table are 0s (there are 40 digits in line 101 followed by the first 30 in line 102)?
Calculate the value of Pearson correlation. Illustrate what information is provided by the numerical value of the Pearson correlation.
A medical researcher estimates that no more than 55% of U.S. adults eat breakfast every day. In a random sample of 250 U.S. adults, 56.4% say they eat breakfast every day.
The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your rea..
Why do you think it is significant to describe both the measure of central tendency and the measure of dispersion when talking about a data set?
An auditor for a Health Maintenance service of Georgia reports 40% of policyholder 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records.
For a sample of 120 students selected at random, what is the mean and variance of the number of students who watch this game?
A survey of 500 internet users found that the users were online an average of 6.5 hours a week with a standard deviation of 3.1 hours. If 49 internet users are randomly selected what is the probability that their average time online will be more t..
Briefly describe how the standard deviation influences the outcome of the hypothesis test. How does standard deviation influence measures of effect size?
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