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An economist is interested in studying the incomes of consumers in a particular region. The economist needs to know how large a sample should be taken so that a 90% confidence interval for their mean income with an error of $500 can be constructed. If the population standard deviation is known to be $8,000 what sample size would the economist need to use?
Assume that the cost for this type of hospital emergency room visit is normally distributed with a standard deviation of $92. Assume that the following questions about the cost of a hospital emergency room visit for this medical service.
An entrepreneur in a developing country owns 10 food carts. He has ten employees to work with these food carts. Let Xi be a random variable representing revenue from cart i (on a particular day), i = 1,..., 10. Xi is approximately normally distrib..
Suppose that you draw a random sample of 27 cans. Find the probability that the mean weight of the sample is less than 6.19 ounces.
In a poll to estimate presidential popularity, each person in a random sample of 1000 voters was asked to agree with one of the following statements:
The company can alter the standard deviation. Use a sketch to decide how the company can proceed if they want to reduce this proportion by changing the standard deviation.
The mean (m) number of employee absences in company X is 6 days annually, according to previous studies conducted by the Human Resources Department.
Her students this semester can be considered a sample from the population of all students she might teach, so she compares their mean score with 72.
Explain the difference between a left-tailed, two-tailed, and right-tailed test. When would we choose a two-tailed test? How can we tell the direction of the test by looking at a pair of hypothesis?
Suppose we wish to test the null hypothesis that there are no differences among the proportion of men and women who developed a rash. Evaluate the P-value of the chi-square test of this hypothesis.
Using the sample information given in the above exercise, the p value for testing Ho versus Ha can be calculated to be 0.0057
The service call can take 1, 2, 3, or 4 hours. The different types of malfunction occur at about the same frequency. Develop a probability distribution for the duration of a service call.
For each variable, identify the kind of graph that should be used to display the distribution of scores (histogram, polygon, or bar graph).
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