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A metropolitan school system consists of three school districts-norths, south, central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%. A minimum-competency test was given to all students; 10% of the north district students failed, 15% of the south district students failed, and 5% of the central district students failed.
a) Develop a probability tree showing all marginal, conditional, and joint probabilities.
b) Develop a joint probability table.
c) What is the probability that a student selected at random failed the test?
A random sample of 24 groups of adults has a mean daily lodging cost of $233 and a standard deviation of $12.50. Is there enough evidence to reject the claim at α= 0.10? Assume the population is normally distributed.
What happens to the confidence interval when we go from a 95% confidence level to a 99% confidence level? Is this desirable? When would we want to use a 99% confidence interval?
Suppose the inspector is unhappy with the previous result and would like to resample. How many rolls should be sampled to estimate the mean tensile strength within 1.5 PSI with 95% confidence?
Setup the alternative hypothesis that will test the claim that the percentage of women preferring white wine is 25% higher than men.
We are asked to investigate the hypothesis that the number of crimes is related to police expenditures because states with higher crime rates are likely to increase their police force, thereby spending more on the number of officers on the street.
Some people who bought X-game gaming systems complained about having received defective systems. The industry standard for such systems has been 98% non-defective systems.
Suppose that the population of heights of female college students is approximately normally distributed with mean m of 66.24 inches and standard deviation s of 5.07 inches.
For binomial distribution among given values for n as well as p state whereas or not it is suitable to use normal distribution as an approximation.
A dataset has 1000 records and 50 variables with 5% of the values missing, spread randomly throughout the records and variables. An analysis decides to remove records that have missing values. About how many records would you expect would be remov..
A random sample of n = 16 scores is selected from a normal distribution with a mean of μ = 50 and standard deviation of σ = 10. a) What is the probability that the sample mean will have a value between 45 and 55?
A firm engaged in manufacturing undergarments for gents employs 100 male and 144 female workers. The average production per day of a male worker is 60 items with a variance of 15 items, and that of a female workers is 65 items with a variance of 1..
Overall, the amount of work-hours involved in the festival preperation is normally distributed around 100 hours withn a standard deviation of 12 hours.
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