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The average modulus of rupture (MOR) for a particular grade of pencil lead is known to be 6500 psi with a standard deviation of 250 psi. A random sample of size 16 is taken.
a. What is the sampling distribution of the mean?
b. What is the probability that the sample of 16 pencil leads will have an average MIR between 6400 and 6550 psi?
c. What assumptions did you make when answering the previous questions?
Two components of reliability 0.95 are in parallel and this subsystem is connected in series to a component with a reliability of 0.90. Calculate the overall reliability of this system.
Give an example of a polynomial of a degree 2 that satisfies the following two conditions: (1) the coefficient of x^2 is 1 and (2) the polynomial cannot be factored. Explain why the polynomial cannot be factored.
Test the overall significance of the regression model at α = .05 level. Please use the six-step hypothesis-testing framework we employed in class, and write out the last three steps in this table:
Determine the area under the normal curve with mu = 8 and sigma = 3. If Mary gets 90 on a physics test where mean is 85 and standard deviation is 4.59, where does she stand in relation to her classmates?
Finding the probability of each event in a group of events of different possibility
I did a study correlating net profit per location with expenditures on an in-house promotion, and got a correlation of about .15, and that was received very well.
If μ represents the mean increase in the verbal SAT score if all high school students used the method, the alternative hypothesis the teacher wishes to test is what?
A wholesaler has recently developed a computerized sales invoicing system. Prior to implementing this system, a manual system was used. The distribution of the number of errors per invoice for the manual system is as follows
You select a random sample of 16 cities similar to Statesville in demographic and economic characteristics and collect the following data on FOOTAGE (in 10,000 square feet) and RETURN (rate of return as a %). a. Analyze the above output to determi..
The sample standard deviation is 10 lbs. We would like to decide if there is enough evidence to establish that the average weight for the population of lawnmowers is greater than 100 lbs.
Assume that your students are a sample of all fourth graders in your state and you can use your student data to test some ideas. What is the major problem with your assumption.
If you take a random sample of 100 adults, what's the probability that less than 50% of the adults sampled prefer coffee? Write answer in decimals using 4 digits precision.
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