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A specific automotive part that a service station stocks in its inventory has a 8% chance of being defective. Suppose many cars come into the filling station needing this part each week. What is the
If fX,Y (x, y) = k(y ? x) is a joint density function over the triangular region with vertices at (0,0), (0,1), and (1,1), then what is the value of the constant k?
From a random sample of 70 high school seniors, the mean and standard deviation of the verbal scores in the SAT are found to be 433 and 47, respectively. Find a 95% confidence interval for the mean
On this scale, a score of 10.5 would be average. Below are the results for Hunterdon Pinot Noir Santa Lucia Highlands, one of the less expensive wines. Use the Runs Test to test the hypothesis that
The shear strength of the bond between the two propellant types is an important characteristic. Results of testing 20 randomly selected motors are shown in the following table. Test the hypothesis t
The content of a particular constituent in two different brands of a drug, measured in milligrams, was found to be as shown below. Test the hypothesis that the mean contents of the two brands are eq
Assume that a random sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confindence level.
A study was done on the propagation of an ultrasonic stress wave through a substance. In particular, attenuation in fiber-glass-reinforced polyester composites was measured. A random sample is 2.6,
The drying time of a certain type of paint under specified test conditions is known to have mean value 75 minutes. Chemists have proposed a new additive designed to decrease average drying time.
Let µ1 and µ2 represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period.
At a certain high school, a random sample of 50 student are chosen for a free 10-week SAT prep class They are given a pre-test before the course begins and a post-test after taking the course. The p
A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x (with the line above it)= 120.8 and the sample standard deviation is found to be s=12.5 . Construct a
How is the denominator influenced by sample variability, and given this, why do we need a larger sample for between subject designs compared to within subject designs?
Suppose that an eddy current nondestructive evaluation technique for identifying cracks in clinical metal parts has a probability of around .20 of detecting a single crack of length .003 in. in a ce
Compute r2 to measure the size of the effect. Compute a 90% confidence interval to estimate the population mean difference
The life in hours of a laser is known to be normally distributed with a standard deviation of sigma = 20 hours. A sample of 15 lasers and their lives is as follows: 708, 692, 736, 707, 708, 696, 708
Construct a 90% CI for the true proportion of masks of this type whose lenses would pop out at 250o.
Use graphical sensitivity analysis to determine the range of values of the probability of state of nature s1 over which each of the decision alternatives has its largest expected value. State of Nat
Compute 98% confidence interval for the national average error based on these sample results. Assume the travel agent errors are normally distributed in the population. How wide ia the interval? Int
A student curious about the average number of chocolate chips in a commercial brand of cookie estimated the standard deviation to be 8. If he wants to be 99% confident in his results
A major hurrican is a hurricane with winds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain counttry's mainland per year was about 0
Find a 90% confidence interval for the difference in average absorption time for the two drugs. Does it appear that one drug is absorbed faster than the other (at the 90% level)? Explain.
An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were lit
Most of the students selected will not respond. The students selected can't be consideed a random sample from the population of all students in the course.