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1. 30% of the population in a southwestern community are Spanish speaking Americans. A Spanish speaking person is accused of killing a non Spanish speaking American and goes to trial. Of the first 12 potential jurors only 2 are Spanish speaking Americans, and 10 are not. The defendant's lawyer challenges the jury selection claiming bias against her client. The government lawyer disagrees saying that the probability of this particular jury composition is common. Compute the probability and discuss the assumptions
2. Dr Richmond, a psychologist is studying the daytime television viewing habits of college students. She believes 45% of college students watch soap operas during the afternoon. To further investigate, she selects a sample of ten.
Develop a probability distribution for the number of students in the sample who watch soap operas.
a. Find the mean and the standard deviation of this distribution.
b. What is the probability of finding exactly four watch soap operas?
c. What is the probability less than half of the students selected watch soap operas?
Perform hypothesis testing on one variable's data.
Assume the likelihood that any flight on Northwest Airlines arrives within 15 minutes of the scheduled time is 0.90. We choose four flights from yesterday for study.
Find out the probability that the return for common stocks will be more than 0%.
How many voters required to be sampled to evaluate the proportion within 0.05 with 95% confidence?
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots. A partial ANOVA table
Which of the given experiments can be modelled by Poisson distribution?
Assume that the mean parameter θ for the RV L is unknown. To estimate it, a random sample of n = 10 light bulbs is selected, and the lifetime of each light bulb is measured. Let X denote the number of those 10 sampled light bulbs that burn longer ..
The mean of a normal probability distribution is 60; the standard deviation is 5.
A bank wants to get new customers for their credit card. They try two different approaches in their marketing campaign. The first promises a "cash back" reward; the second promises low interest rates. A sample of 500 people are mailed the first br..
Either summarize your design or give an appropriate layout with table.
If garage is robbed, determine the probability doors were left open?
Test the hypothesis that no difference exists between the groups at α = .05 and perform and report all related tests and statistics.
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