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1. The Degree of Reading Power is a test of the reading ability of children. The average DRP score for California students is 35. The head of the Antioch School District wonders if her students would score differently than other students in California.
She gives the test to an SRS of 40 students in the district and calculates a sample mean of 38 and a standard deviation of 3.3 on the test. Perform a significance test to help her draw a conclusion.
2. Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 19 seconds for one particular maze. (Assume also the standard deviation is always 2.3 seconds). A researcher thinks that a loud noise will cause the mice to complete the maze faster.
She measures how long each of 10 mice takes to complete the maze with a noise as stimulus. The average time was 15 seconds.
A. Present a significance test with ALL SIX components carefully laid out (follow my model). Assess the results at the 0.03 significance level.
C. Give a 99% confidence interval for the average completion time with the noise stimulus.
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