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Gamma Corporation is considering the installation of governors on cars driven by its sales staff. These devices would limit the car speeds to a preset level, which is expected to improve fuel economy. The company is planning to test several cars for fuel consumption without governors for 1 week. Then governors would be installed in the same cars, and fuel consumption will be monitored for another week. Gamma Corporation wants to estimate the mean difference in fuel consumption with a margin of error of estimate of 2 mpg with a 90% confidence level. Assume that the differences in fuel consumption are normally distributed and that previous studies suggest that an estimate of sd=3sd=3 mpg is reasonable. How many cars should be tested? (Note that the critical value of tt will depend on nn, so it will be necessary to use trial and error.)
Now, assume that P moves from the left to the right on a hyperbola given by the equation y = 1/x at a uniform speed of 5 m/s. What is the velocity vector of P at the point (3,1/3)?
Zooms produces computer games. The quality control department of Zooms has a procedure to inspect its games. During the first hour of production the manager picks a random value between 1 and 60.
What is the relevance of Pearson's r? What does it tell you about the correlation between variables? What is one example of a null hypothesis and the research hypothesis that goes with it?
A club has 225 members. If there is a 60% attendance rate per meeting, find the mean, variance, and standard deviation of the number of people who attend each meeting. Note that this is a binomial distribution.
Explain how both sides might be correct, identifying the measure of center you think each side is using and why the difference might exist.
Show that the fractional error in Ti produced by an error in r, is very nearly 3.73 times the fractional error in rs, or dTi/Ti = 3.73 drs/rs.
The average time it took then to change a water pump was 18 minutes. The standard deviation of the sample was 3 minutes. Find the 99% confidence interval of the true mean.
A government official estimates that the mean time required to fill out the long form of the United States Census follows a distribution which is approximately normal with mean 36 minutes. A random sample of 16 people who were given the long form ..
in a study of the risk factors for invasive cervical cancer that was conducted in germany the following data were
For the population of Exercise 3, what sample size is required to simultaneously estimate the proportion with each blood type to within 0.02 of the true proportion with 95% confidence?
DC Comics created a character known as Flex Mentallo, who like Mac, came to be imbued with extraordinary strength. Flex Mentallo, once a scrawny weakling who has sand kicked in his face by a bully, returns to the beach with his muscular physique, ..
Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated.
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