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1. What information does each measure of central tendency provide?
2. Why are measures of variability essential statistical tools for describing behavior?
3. How do standard scores assist you in determining relative standing and in making comparisons between groups?
4. What happens to the mean in a skewed distribution? What happens to the median?
f x has a normal distribution with mean µ=15 and standard deviation σ= 3, describe the distribution of x values for sample size n, where n = 4, n = 16, and n = 100. How do the x distributions compare for the various sample sizes?
Employer wishes to interview only those applicants who score in top 15%. What must cut-off score be for interviews?
At.01 significance level, is there difference in mean number of times men and women order take-out dinners in month? Determine the p -value?
The average score on the stat midterm was 75 points with a standard deviation of 5 points, and Gregor's z-score was -2. How many points did he score.
Determine the test value? Use α = 0.05. (Use the variances unequal formula).
Describe the sampling distribution of the sample mean.
Suppose that among all participants, the mean test score is 70.07 and the standard deviation is 10.27. Use z-scores to interpret a raw score of 80. What is the corresponding z-score? How would you interpret this result? Show your work.
A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 4. The sample mean is 23. (Round your answers to 3 decimal places.) (a) The standard error of the mean is_____?
Suppose that the average annual salary for a worker in the United States is $30,000 and that annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Determine the following:
The Starbucks in the Bauer College of Business found that 24% of customers purchase more than one cup of coffee per day from their shop. If 180 customers are randomly selected one day, what is the probability that no less than 25% of them purchase..
Formulate an appropriate hypothesis test to examine at the 10% level of significance whether the manager's worries are justified.
Using the original data, estimate the population standard deviation with 90% probability.
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