1. More eggs? Can a food additive increase egg production? Agricultural researchers want to design an experiment to find out. They have 100 hens available. They have two kinds of feed: the regular feed and the new feed with the additive. They plan to run their experiment for a month, recording the number of eggs each hen produces. a) Design an experiment that will require a two-sample t procedure to analyze the results. b) Design an experiment that will require a matchedpairs t procedure to analyze the results. c) Which experiment would you consider the stronger design? Why?
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Textbook Solutions for Stats: Modeling The World
Question
18. Brain waves. An experiment was performed to see whether sensory deprivation over an extended period of time has any effect on the alpha-wave patterns produced by the brain. To determine this, 20 subjects, inmates in a Canadian prison, were randomly split into two groups. Members of one group were placed in solitary confinement. Those in the other group were allowed to remain in their own cells. Seven days later, alpha-wave frequencies were measured for all subjects, as shown in the following table. (P. Gendreau et al., "Changes in EEG Alpha Frequency and Evoked Response Latency During Solitary Confinement," Journal of Abnormal Psychology 79 [1972]: 54-59) a) What are the null and alternative hypotheses? Be sureto define all the terms and symbols you use.b) Are the assumptions necessary for inference met?c) Perform the appropriate test, indicating the formulayou used, the calculated value of the test statistic, thedf, and the P-value.d) State your conclusion.
Solution
a) Null Hypothesis: There is no difference in alpha-wave frequencies between the group of subjects placed in solitary confinement and the group of subjects not placed in solitary confinement.
Alternative Hypothesis: There is a difference in alpha-wave frequencies between the group of subjects placed in solitary confinement and the group of subjects not placed in solitary confinement.
b) Yes, assumpti
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