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If the mean value of a set of data including 6 sample tests is 20, and the standard deviation of the data is 5, what is the probability that the test value will be less than 18 in any subsequent sam
Compare the means of the following sets of yield data (from catalysts A&B). Determine if we can state the mean yield of catalyst B is greater than the mean yield of catalyst A at a 95% confidenc
A professor uses a normal distribution to determine grades from a class of 100 students. The syllabus states that students with a final grade equal to 1.4 standard deviations above the mean (or grea
Let X be a random variable with mean 3 and variance 2, and let Y be a random variable, such that for every x, the conditional distribution of Y given X = x has mean x and variance x2 . What is the v
Imagine you are in charge of reviewing applications for your academic institution. As a preliminary measure, you want to review only the top 25% of applicants on the basis of standardized test score
A community college mathematics department experimented with four different delivery methods for their intermediate algebra courses:
Suppose that the diameter of a metal cylinder has a probability density function given by: f(x) = 1.5 - 6( x - 50)2 for 49.5 ? x ? 50.5 mm
The moisture X of the wet mix of a product is considered to have an effect on the density Y of the finished product. The moisture of the mix was controlled and the finished product densities were as
Convert the following SAT scores into a new distribution with a mean of 50 and a standard deviation of 2. What new score equals an SAT score of 570?
Conduct a simple linear regression analysis of these data in which the average tuition for private colleges is predicted by the average public college tuition. Test the significance of the model usi
Construct the ANOVA table for these data. Test the null hypothesis that effects due to the different preparations are not significantly different. If H_0 is rejected, estimate the four preparation e
To provide information on whether coatings on iron pipes are of any use, 10 pieces of pipe are each marked off in equal segments, one to receive coating A, one to receive coating B, and the third le
Alan, while snooping around his grandmother's basement stumbled upon a shiny object protruding from under a stack of boxes . When he reached for the object a genie miraculously materialized and stat
Below are data showing the results of six subjects on a memory test. The three scores per subject are their scores on three trials (a, b, and c) of a memory task. Are the subjects getting better eac
During the 3pm to 5pm time period, cars arrive at a banks drive through window at an average rate of 15 customers per hour. Asuume that the time between arrivals follows the expotentional distributi
Johns commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutesand a standard deviation of 5.1 minutes. What is the probability that the commu
Reasearchers for a manufacture of barometers reach each of 50 barameters at the same time each day. The mean of the readings is 30.4 (inches of mercury) with a standard deviation of 0.28 inch, and a
Create a game of chance using a coin, dice, or a standard deck of cards. Choose how to play the game and determine at least two ways to win. Then determine the probability of winning the game. Then
What percentage of the population has an IQ more 120? If the percentage of people who have IQ more than x is 85%. Find the value of x.
Assume that IQ scores are normally distributed, with a standard deviation of 18 points and a mean of 100 points. If 95 people are chosen at random, what is the probability that the sample mean of IQ
A factory makes light bulbs. Over a long period, 4% of them are found to be faulty. A random sample of 100 light bulbs is tested. Write down the expected number of faulty bulbs in the sample.
In the United States, a full-time employee works an average of 40 hours a week with a standard deviation of 2.5 hours per week. What percentage of employees work less than 35 hours a week?
A box contains four tickets, labeled 0,1,3,6. The chance that the sample sum of the labels on the tickets in three independent random draws with replacement from this box equals 8 is ________
The process of selecting and replacing is carried out 400 times. What is the expected number of black discs that would be drawn?
In the United States, a full-time employee works an average of 40 hours a week with a standard deviation of 2.5 hours per week. What percentage of employees work more than 43 hours a week?