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Assume that sigma is 9 for the population of all radon detectors. We want to determine if there is convincing evidence at the 90% confidence level that the mean reading of all detectors of this type differs from the true value 105, so our hypotheses are: Null: mu = 105, Alternative: mu does not equal 105. A significance test to answer this question was done. The test statistic was z= -0.3336 and the P-value is 0.74. 1. Calculate the probability of a type 1 error in this situation.
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