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The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.7.
Question:
Use the central limit theorem to find the probability that the average number of moths in 30 traps is greater than 0.6. Give your answer to four decimal places.
A. Determine the regression equation. B. Determine the estimated sales if 40 contacts are made.
A process is out of control when:
A person asks, "what do you think is the ideal number of children for a family to have?" The 497 females who responded had a median of 2, mean of 3.02, and a standard deviation of 1.81.
A seminar is given to three levels of managers (highlevel, midlevel, lowlevel).The facilitators believe the evaluations may vary with the audience.
Currently, quarters have weights that are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g. A vending machine is configured to accept only those quarters with weights between 5.550 g and 5.790 g.
Conduct a one-tailed hypothesis test given the information below. A certain brand of Green Energy light bulbs was advertised as having an average illumination life-span of 2,500 hours. A random sample of 50 bulbs burned out with a mean life-span o..
The design tolerance thickness for an automotive part is 55 mm to 65 mm. If the process mean thickness is 61 with a standard deviation of 2.3 mm, then what percentage of the sheets will be acceptable? (i.e. What percentage will fall within the des..
Extra college-level training, and rest of the sailors arn't accounted for. How does your sample compare to what you expected to determine? Define null hypothesis.
According to an article, 19% of the entire US population have high-speed access to the Internet. Random samples of size 200 are selected from the US population.
In part b, the sample have greater variability than part a, but the sample sizes are unchanged. how does the larger variability affect the size of the standard error for the sample mean?
Critically discuss the concept of the normal distribution, why it is important, and what you think it means. When students talk about "grading on the curve," how does that apply to the normal distribution?
A particular fast food restaurant is located near a University. 40% of the customers are students. Students prefer the spicier items.
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