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To Test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at α = .05? (a) State the hypothesis for a right-tailed test. (b) Obtain a test statistic and p-value assuming equal variances. Interpret these results. (c) Is the difference in mean scores large enough to be important? (d) Is it reasonable to assume equal variances? (e) Carry out a formal test for equal variances at α = .05, showing all steps clearly.
Which of the following(s) can be considered (a) variable(s)?
Find a 99% confidence interval for the difference in the mean number of calls between night and day.
Temperature in certain city for the month of June follows a uniform distribution over the interval 61° F to 91° F. Find the temperature which 90% of the June days exceeds?
If one item is chosen at random, determine these probabilities. It is a TV
Determine the probability that we would reject null hypothesis given that it is true?
Steps in hypothesis test procedure - conducting a hypothesis test for some general statistic, ? say.
A local bank reported to the federal government that its 5,246 saving accounts have a mean of $1,000 and standard deviation of $240.
Conduct post hoc comparisons with the LSD method. Which groups differ significantly at α = 0.05?
Given that standard deviation process=4.7 and standard deviation gage=3.4, what is the total standard deviation in data from this process?
Average Precipitation For the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 inches. If the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities.
Is there evidence of violations of the usual ANOVA assumptions of equal variances and normal populations? Set up and perform appropriate TESTS at the α = 0.05 level of significance.
Assume that the standard deviation of college student IQ's is 10. A random sample of 100 students from a college showed an average IQ of 110. Compute a 95% confidence interval for the mean IQ of students attending this college.
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