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A metropolitan school district consists of three districts - north, south, and central. The north district contains 25% of all students, the south district contains 40%, and the central district 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?
Warren Road MacBurger that the mean waiting time was 2.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than three minutes?
The Awake Coffee Company produces gourmet instant coffee. The company wants to be sure that the average fill of coffee containers is 12.0 ounces.
In a shipment of 52 vials, only 12 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?
From the calculator manufacturer?s point of view, which type of error would be considered more serious and explain why? From the printed circuit supplier?s point of view, which type of error would be considered more serious and explain why?
Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation greater than 10 beats per minute.
Four different types of fertilizers are used on raspberry plants. The number of raspberries on each randomly selected plaint is given below.
Statistical Hypothesis test for the given sample
Use the F test of ANOVA (assume α = 0.05) to decide whether or not there are any differences in true average lumen outputs between the three brands for this type of light bulb.
A random sample of 35m of the firm's accountants has a mean workday of 8.2 hours with a standard deviation of 0.5 hour. At α = 0.01, can you support the CEO's claim?
The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours.
Which of the following is true about a 95% confidence interval of the mean of a given sample:
Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians at the university health system exceeds 27.9%?
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