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Most water treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity or acidity in the water. A target pH level is 8.5. pH values below 8.5 is acidic and above 8.5 is alkaline, both of which are bad for health. A random sample of 20 measurements resulted in an average pH of 8.55 with a standard deviation of 0.28.
a. Does the sample provide sufficient evidence that the mean pH level in the water differs from 8.5? Conduct a test at the ? = .01 level
b. What are the upper and lower limits of the 95% confidence intervals?
Suppose that X represents diameter measurements from a gamma distribution with a mean of 3 mm and a variance of 1.5 mm^2.
Construct a 98% prediction interval for the selling price of a 4l- year old house having 4500 square feet, 13 rooms, and an attached garage.
Pproportion who are sent to prison after pleading innocent and being found guilty? No, as the test value -1.96 is inside interval (-2.58, 2.58), No, as the test value -4.94 is outside interval (-1.96, 1.96).
Find the critical t-value that corresponds to 90% confidence. Assume 90 degrees of freedom.
Discuss the properties of a normal distribution. Why are there infinite possible normal distributions? Why should one assume that sample data represents a population distribution?
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the company is currently producing has a normal distribution with an average of 7.5 minutes and a standard deviation of 1.2 minutes.
A large university says the mean number of classroom hours per week for full-time faculty is more than 9. A random sample of the number of classroom hours for full-time faculty for one week is listed.
A company uses triple time estimates to determine expected completion time for all of their projects. If they determined the expected time to complete a project is 25 weeks with a variance of of 9 weeks
What are the main differences between descriptive and inferential statistics? Give examples of each. When would random sampling not be the best approach to sample selection? Give an example.
The study does provide sufficient evidence to support the claim that less than 75% of college student spend less than $250 per semester on textbooks.
Calculate the paired sample t statistic for these mood scores and How has the relation between the mean and the median changed? What does this suggest about the distribution of the transformed data?
What is the probability that the cereal would be high calorie? In other words, what is P (high calorie)?
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