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1. The diameter of bearing shafts that are manufactured in your factory follow a normal distribution with a mean of 1 inch and a standard deviation of 0.002 inch.
a. If a purchase is looking for shafts that have a diameter of 1 ± 0.003 inch, what fraction of your manufactured bearing shafts will be rejected by the purchaser?
b. You decide to improve the quality of you product and set up a target that no more that 1% of your manufactured shafts should be rejected. In order to ensure this, what should the standard deviation of the new sample be?
2. Imagine that a dam is being designed for flood control in a community. The historical stream flow record illustrates that a hydrologic extreme event (flood) occurred once in 100 years.
a. What is the chance that such an event will occur at least once during the life time of the dam? I.e. in the next 30 years?
b. The elevation (i.e. water level in the dam) during floods follows an exponential distribution with an average elevation of 5 feet. The dam is designed to hold up to 12 feet of water. The community downstream of the dam will be inundated if the dam overtops or spills. What is the probability of overtopping the dam if a flood occurs?
Complete the table and answer the following questions. Use the .05 significance level. How many treatments are there? What is the total sample size?
Consider the following time series data.Week 1 2 3 4 5 6Value 18 13 16 11 17 14Using the naive method (most recent value) as the forecast for the next week
An airline has flights from a small airport connecting with Ohare. These small planes carry 30 passengers. The airline knowing that only 85% of booked passengers routinely show up for a randomly selected flight routinely sell 31 tickets for each f..
Categorize the following as discrete or continuous random variables.
A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01?
with sample standard deviation s=0.6. Use a 5% level of significance to test the claim that the drug has changed(either way) the mean pH level of the blood.
For how many of the 100 days was the number of paying customers within three standard deviations of the mean? Explain how you determined your answer.
Is there a relationship between the opinion and the location of the resident at a level of significance of 0.05?
Find the test statistic value for two mean tests using equal variance formula.
Construct three scatter plots for: (1) percentage alcohol versus calories, (2) percentage alcohol verses carbobydrates, and (3) calories versus carbohydrates
Suppose that a researcher does a study to see how level of anxiety (A 1 = low, A 2 = medium, A 3 = high) is used to predict exam performance (Y).
The instructor plans to draw a histogram of the 1,100 sample proportions. What will be the approximate mean for the 1,100 sample proportions?
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