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Do students at various universities differ in how sociable they are? Twenty-five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spent socializing each day with other students. The result for University X was a mean of 5 hours and an estimated population variance of 2 hours; for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. What should you conclude? Use the .05 level. (a) Use the steps of hypothesis testing, (b) figure the effect size for the study; and (c) explain your answers to parts (a) and (b) to someone who has never had a course in statistics.
Based on the answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.
A manufacturer produces and sells chilled, ready-to-eat pasta salad in round lots of 50 serving units each. These items have a very limited shelf life; therefore, if items are made but not sold, they have no value.
A researcher wishes to estimate within $300 the true average amount of money a country spends on road repairs each year. If she wants to be 90% confident, how large a sample is necessary? The standard deviation is known to be $900.
The following table describes the estimated green power sales by renewable energy in 2008: Develop a bar chart, pie chart, and Pareto Chart.
A manufacturer produces a batch of memory chips (RAM) and measures the mean-time-between-failures (MTBF). The manufacturer then changes a manufacturing process and produces another batch and again measures the MTBF.
If X and Y are infinite sets with the same number of elements, show that the following conditions are equivelent for a function f: X-->Y:
For a binomial probability experiment, with n=150 and p=.2, it is appropriate to use the normal approximation to the binomial distribution.
The following data represent glucose blood levels(mg/100ml) after a 12 hour fast for random sample of 70 women: Employ 6 classes and make a frequency distribution table.
Describe a 5-step hypothesis test for two variances for a particular claim related to your work or life environment. You need to state the claim,
Distribution and the method of moments estimators of the parameters are alpha(hat)= 5.23 and lambda(hat) = 21.3. Find an asymptotic 95% confidence interval for alpha.
Public transportation and the automobile are two methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
A random sample of 15 first-year CMAs in Denver produces a mean salary of $32,279, with a standard deviation of $1,797. Test the hypothesis that the mean for all Denver first-year CMAs is not equal to $31,129. Use the .05 level of significance.
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