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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 hypotheses 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.
Create a 90% confidence interval for proportion of all kernels that would not pop.
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An advantage of the permutation test over the t test for a difference in means, can Permutation tests be used for tests when we believe the two populations differ under the null hypothesis.
Using the Census data, the OH Registry of Motor Vehicles reveal the subsequent about the Autos owned by the 10 families residing in Smallville.
A sample of 50 male and 50 female infants were put on an experimental infant formula. After two weeks the parents of each infant were asked to fill out a questionnaire concerning infant satisfaction on the formula. One of the questions was "Did Ba..
Compute a 95% confidence interval for the mean using the formula and where is the mean of the ten random numbers.
Using the probabilities above what is the expected size of family you draw?
Categorize the following as discrete or continuous random variables.
Iindicate all samples are approximately Normal with no outliers. Is the ANOVA appropriate?
Establish an approximate design to MTBF required for a system that will result in an approximate minimum total cost over a five year period if the system is to be operated 7500 hours per year
An old saying in golf is "you drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money.
At α = .05, is there a difference in variances? Illustrate all steps clearly, including the illustration of the decision rule.
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