Find probability of type two error for two-sided hypotheses


The mean weight of penguins last year was 15.4 kg. In a random sample of 35 penguins, the standard deviation of the weight is 2.5 kg. If the actual mean weight is as low as 15.1 kg, what is the probability of a type 2 error for a two-sided hypotheses test at the 0.05 significance level?

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Basic Statistics: Find probability of type two error for two-sided hypotheses
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