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The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the nu
A researcher wants to determine a 97% confidence interval for the mean number of hours that UIUC students spend doing homework per week. Suppose she know that the standard deviation for hours spent
Tests of the fidelity and the selectivity of 190 radios produced the results shown in the following table: Use the 0/01 level of significance to test the null hypothesis that fidelity independent of
Certain radioactive substance is a random variable having the Poisson distribution with lambda = 2.4. Use the following data obtained for 300-1 second intervals to test this null hypothesis at the 0
We randomly choose letters, one at a time, without replacement, from the word, CHOOSE until both Os have been obtained. Find the variance of the random variable.
Use a suitable statistical computer program to test whether the mean failure time of such light bulbs is significantly less than 300 hours. Use the 0.01 level of significance.
Find the 98% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations. (Use conservative degrees of fr
Suppose a linear programming (maximization) problem has been solved and the optimal value of the objective function is $300. Suppose a constraint is removed from this problem. Explain how this might
You claim that the average speed of cars going down a certain stretch of highway is 72 mph. After analyzing the data and performing a hypothesis test, you fail to reject the null hypothesis.
We randomly choose letters, one at a time, without replacement, from the word CHOOSE until both Os have been obtained. What is the variance of the random variable? The answer should be 14/9.
Test the claim that Sludge County has a pinworm infection rate that is greater than the national average. Use a 0.01 significance level.
For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation.
What is the probability the average of the sample is more than $37000 if a random sample of 75 house holds is taken?
Find the conditional probability mass function of the number of cars that arrive between 11:15am and 11:25am given that 600 cars arrive between 11:00am and 12:00pm.
Can we use the Normal approximation to the binomial distribution to find the probability of finding more than 5 defective items in the sample of 100?
Suppose that scores on the Math SAT exam follow a Normal distribution with mean 500 and standard deviation 100. Two students that have taken the exam are selected at random. What is the probability
Given that the size of the sample is extremely large, can this sample size compensate for a poor method of sampling? What valid conclusion can be made from the sample results? Based on the sample res
Construct a cross-tabulation to examine the relationships between the two nominal/ordinal level variables you selected in Week One. Assume that you have selected a random sample of 200 cases and col
Using a normal curve table, give the percentages of scores between the mean and a z-score of
Suppose the people living in a city have a mean score of 47 and a standard of 3 on a measure if concern about the environment. Assume that these concern scores are normally distributed. Using the 50
The probability of getting a defective widget is .10. You select five widgets for the National Widget Championship.
Describe type 1 and type 2 errors in this situation and the consequences of committing each type. which error is more expensive for the franchisor to make
A purse contains $101 in Anthony dollars and $1 in pennies. Smith is allowed to draw and keep coins, one at a time, until he has drawn 30 pennies. Find the variance of the random variable.
A converging lens (f = 12.8 cm) is located 30.3 cm to the left of a diverging lens (f = -5.4 cm). A postage stamp is placed 35.4 cm to the left of the converging lens. Find the overall magnification
Steve and his friends are relaxing at a local tavern. The number of drinks that Steve's table receives is Poisson distributed with an average of 9 drinks per 3 hours. Write out the distribution and