For each of the following, state the null and alternative hypotheses, the Type 1
ID: 3126788 • Letter: F
Question
For each of the following, state the null and alternative hypotheses, the Type 1 and Type II errors associated with the hypotheses and the consequences of each error.
Too Many Pets, a pet store, is concerned about its dogs. The store has enough supplies on hand to maintain an estimated in-store average of 10 dogs a day. The store wants to know whether its average dog population is actually 10 a day or some other number. If their original estimate is incorrect the store will have to invest in research to determine the actual average and decide how to accommodate the change.
Explanation / Answer
H0:mu=10 days (average dog population is same as that of in-store capacity)
H1:mu not equal to 10 (average dog population is different from as that of in-store capacity)
Type 1 error: If true null hypothesis is rejected that is if the average dog population is same as that of in-store capacity of 10, but it is determined wrongly as different).
Type II error. If false null hypothesis is not rejected, that is when actually the dog population i sdifferent from that of 10, in-store capacity but null hypothesis is falsely retained).
Consequence of Type 1 error-Pet store will unnecessarily plan to accomodate the change.
Consequence of Type II error: Pet store will be happily maintain the status, when actually chenage is required.
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