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If the correlation coefficient in a linear regression model is 2 or more, a very strong positive relation exists between the two variables?
A random sample of children in two different schools found that 16 of 42 at one school and 21 of 36 at the other had this infection. At the ? = 0.05 level of significance, is there sufficient eviden
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. A sample of four metal sheets is randomly select
In past elections, the representative received 40% of the popular vote in that area of the state. How many registered voters should be sampled?
The 95 percent confidence interval means that 95 percent of the sample means of a specified sample size selected from a population will lie within plus and minus 2.58 standard deviations of the hypo
A confidence interval is constructed to estimate a population parameter. Which of the following will make a confidence interval narrower and more precise?
Define the following event relating to rolling two 8-sided dice: At least one die shows an eight
Now assign a random variable x, where the value of x is equal to the number of heads observed in the flips. Describe the probability distribution of x, and calculate the probability of observing thr
A student flips a coin three times, and it comes up heads each time. The student decides that the coin must be unfair. The student is demonstrating a failure to understand which one of the following
Consider a data set of 15 distinct measurements with mean A and median B. If the highest number were increased, what would be the effect on the median and mean? Explain.
Traffic engineers install 14 street lights with new bulbs. The probability that a bulb will fail within 50010 hours of operation is 0.27. Assume that each of the bulbs fails independently.
The percent of observations above the third quartile in a distribution is
the scores of students (out of 100 points) on a very easy exam in which most score perfectly, but a few do very poorly. the salaries of all National Football League players
A reporter wishes to portray baseball players as overpaid. Which measure of center would he most likely use to report their salary?
A company has three divisions and three conference rooms for meetings. To keep track of the use of their facilities, for each meeting held in the company, the division holding the meeting is recorde
If a study had a result of F (2, 147)= 4.56, p = 0.003, how many groups were in the study, and what was the sample size?
Compute the mean and median. Compute the variance, standard deviation, range, and coefficient of variation. Are the data skewed? if so, how?
Identify a variable that subdivides the population into subsets in which it possible that for every subset of the population couples that have lived together before marriage will have a lower divorc
Suppose the rate of return for a particular stock during the past two years was 20% (written as 0.20) and 35% (written as .35). compute the geometric mean rate of return.
A study of 35 brown gerbils showed that their average weight was 4.7 ounces. The standard deviation of the population is 0.7 ounces. Which of the following is the 99% confidence interval for the mea
Consider an electrical system. This system has a critical component: without this component the system doesn't work. The item has a limited lifespan, which is exponentially distributed with paramete
The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that eight calls are pla
A two-dimensional random walk moves on the integer grid shown in the figure. It begins at (0,0) and on each move it has equal likelihood of going up, down, right, or left to points adjacent to its c
A historical study was conducted to examine the origin of wars. This resulted in the following probability distribution for X, the number of wars beginning in a year.
A historical study was conducted to examine the origin of wars. This resulted in the following probability distribution for X, the number of wars beginning in a year. f(0)=0.52, f(1)=-0.3, f(2)= 0.1