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1. In 1972, Rodrigo Partida, a Mexican-American, was convicted of burglary with intent to commit rape. His conviction took place in Hidalgo County, which is in Texas on the border with Mexico. In Hidalgo County, 79.1% of the residents eligible for jury selection are Mexican-American. Partida's conviction was later overturned because an appellate judge decided he was not truly tried in front of a jury of his peers. The jury that tried Rodrigo Partida consisted of 7 Mexican-Americans out of 12 jurors. Answer the following questions to decide if you agree or disagree with the appellate judge's ruling.
a. What is the probability that a single randomly selected juror from Hidalgo County is Mexican-American? Explain briefly.
b. What is the probability a single randomly selected juror is not Mexican-American? Explain briefly.
c. If x represents the number of jurors out of twelve that are Mexican-American, what would be the values of n and p? Explain briefly.
d. What is the probability that 7 or less of the 12 jurors would be Mexican-American? Please be sure to show all of your work.
e. Based on your answer in part c, do you agree with the appellate judge's ruling? Why or why not? Please be specific and completely justify your answer.
If a statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 53.0 minutes what is the probability that a given class period runs greater than 51.25 minutes.
Assume that a patient is believed to have one of two diseases, denoted by D1 and D2 with P(D1)=0.40 and P(D2)=0.60 and that medical research has determined the probability associated with each symptom that may accompany the diseases.
Compare the mean of the sampling distribution of sample means with that of the population.
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Find a 95% confidence interval for the mean amount of money µ spent at the waiter's tables.
Finnish Furniture manufactures tables in facilities located in three cities- Reno, Denver, and Pittsburgh. The tables are then shipped to three retail stores located in Phoenix, Cleveland, and Chicago.
Assume that female students' heights are normally distributed with a mean given by µ = 67.2 in. and a standard deviation given by σ = 3.6 in.
Determine the likelihood of accepting a lot which is 1% defective?
Duracell Ltd claim that the life of their batteries in motorised soft toys is approximately normally distributed with a mean of 102.9 hours and a standard deviation of 16.5 hours.
A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices.
1st a confidence interval is constructed without utilizing the finite population correction factor.
A random variable has a standard deviation of 16, and an unknown mean. Find the lowest size of a simple random sample so that the sample mean estimates the population mean with a standard error no larger than 0.25.
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