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2. The average cost of a gallon of regular unleaded fuel at gas stations nationwide was $3.23, with a standard deviation of $0.23. Assume the national average holds for Connecticut. What is the probability that a sample of 30 gas stations in Connecticut has a mean between $3.34 and $3.55?
Show that if Z1 and Z2 are independent standard normal random variables, then for all ρ (correlation), Z 1 and ρZ 1 +sqrt(1-ρ 2 )*Z 2 are standard normal with correlation ρ.
The sample average is $97, and the SD is $17. Assume that the repair cost has a normal curve. What is the null hypothesis?
What is the probability that the dample mean grade point average will be either less than 2.709 or more than 2.955.
Do students at various colleges differ in how sociable they are? Twenty-five students were randomly selected from each of three colleges in a particular region and were asked to report on the amount of time they spent socializing each day with other ..
A biometric security devise using fingerprints erroneously refuses to admit 1 in 1000 authorized persons from a facility containing classified information. The device will erroneously admit 1 in 10,00,000 unauthorized persons.
The specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude?
A marketing firm recently studied the number of times men and women who live alone that buy takeout dinners in a month. Two independent samples were taken one with 50 men and 55 women.
Testing for a linear correlation. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from the table below using a=0.05.
She is interested in testing the null hypothesis that the mean SAT score is the same for each type of schooling using the one-way ANOVA. Some summary statistics for the three groups are given below, followed by the one-way ANOVA table.
In the week before and the week after a holiday, there were 10,000 total deaths, and 4972 of them occurred in the week before the holiday.
A 6 × 8 array containing the ages of moviegoers
What does this theorem allow you to do that traditional statistics do not? What are some prerequisites for using Bayesian statistics?
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