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Use the frequency distribution table below that shows the results from a survey which asked 200 households. Find the expected value of the number of televisions in the households surveyed.
A group of 49 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8. Construct a 98% confidence interval estimate for the population mean age.
The first area examined is the Southside community. A random sample of 98 households produces a mean of $1,240 with a standard deviation of $580. a. Does the Southside qualify for the employment ass
Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $31,000 and a standard deviation of $3,000. Find the probability that he or she ma
Suppose that three parachutists operate independently lands at a random point on a line between markers A and B. What is the probability that exactly one of the three lands past the midpoint betw
Find the sample size required to estimate the mean age of registered drivers in the United States. Assume that we want 95% confidence that the sample mean is within ½ year.
The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the .02 significance level.
On a certain examination the average score is 53 and the standard deviation is 6. Find a range of values within which at least 75% of the scores will fall.
In our example of research on lipstick, where E = $2 and S = $29, what sample size would we require if we desired a 99 percent confidence level? What about if we keep the 95 percent confidence level
let I_a be an indicator function of A. show that the indicator of A compliment is 1- indicator of A.
Determine the mean, variance and standard deviation of Y in terms of the mean and variance of X (with E[X] = 5 and var(X) = 9), where Y = X - E[X].
Suppose a fast food restaurant wishes to estimate average sales volume for a new menu item. The restaurant has analyzed the sales of the items at a similar outlet and observed the following results:
The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level. Compute the value of the test statistic.
In an experiment involving matched pairs, a sample of 13 pairs of observations is collected. The degree of freedom for the t statistic is 11.
A new standarized distribution of m=100 and deviation = 20 find the new standarized score for each of the following values from the original population.
On a toss of a fair die, a person wins $10 if 1 or 3 results, loses $5 if 4 or 6 results, wins $5 if 2 results, and loses $10 if 5 results. Compute the expected value to the person.
A random variable, X, has a probability density function, f(x) = 2x for 0 < x < 1. Find the difference between 10th percentile and the 90th percentile.
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
Test at the .05 level of significance whether the proportion of alumni who support the coach is less than 50 percent.
The table below shows the durations of eruptions, X (in minutes), and the time, Y, until the next eruption of the Old Faithful geyser. We wish to determine whether there is a linear relationship bet
An object is in simple harmonic motion. Find an equation for the motion given that the frequency is 4/π and at time t = 0, y = 0, and y' = 8. What is the equation of motion?
A random variable X follows a normal distribution with a mean of 10 and standard deviation of 3. A standardized value of X was found to be Z = 3. The value of X is then
A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 9. At ? = 0.05 is there enough evidence to reject the researcher's claim? Show all work.
The following table shows the distribution of blood types in the general population. What is the probability a person will have type O blood?
In a study conducted by UCLA, it was found that 30% of college freshmen support increased military spending. If 12 college freshmen are randomly selected, find the probability that more than 5 sele