Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.4, Problem 5AYU
Voice-Recognition Systems Have you ever been frustrated by computer telephone systems that do not understand your voice commands? Quite a bit of effort goes into designing these systems to minimize voice-recognition errors. Researchers at the Oregon Graduate Institute of Science and Technology developed a new method of voice recognition (called a remapped network) that was thought to be an improvement over an existing neural network. The data shown in the next column are based on results of their research. Does the evidence suggest that the remapped network has a different proportion of errors than the neural network? Use the α = 0.05 level of significance.
Source: Wei, Wei, Leen, Todd, Barnard, and Etienne, “A Fast Histogram-Based Postprocessor That Improves Posterior Probability Estimates.” Neural Computation 11:1235–1248.
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A neuroscientist is interested in testing the effects of environment on dendritic branching in the hippocampus (dendrites increase the receptivity of neurons and may be an important basis of cognition). To test this, he took one group of rats (n = 11) and housed them in an “enriched” environment (consisting of a large box with tunnels to run through, toys to play with, etc.) and then he took another group of rats (n = 11) and housed them in an “isolate” environment (rats were housed alone without any tunnels or toys). After 6 weeks, the number of dendritic spines in a particular region of the hippocampus from these rats was imaged and counted. The results are below. Did the different housing conditions have an effect on the number of dendrite branches? Solve using the steps in hypothesis testing.
Enriched condition
Isolate condition
Mean number of dendrites
40
10
(Estimated) Standard
Deviation
10
4
Question: Calculate the T statistic
Chapter B.4 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.4 - Skill Building In Problems 1 and 2, test whether...Ch. B.4 - In Problems 1 and 2, test whether the population...Ch. B.4 - NW 3. Hazardous Activities In a survey of 3029...Ch. B.4 - Income Taxes A Gallup organization survey asked...Ch. B.4 - Voice-Recognition Systems Have you ever been...Ch. B.4 - Poison Ivy Look back at the data in Table 3 on...Ch. B.4 - Gun Laws and Capital Punishment The General Social...Ch. B.4 - Children and Childcare The General Social Survey...
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