A veterinary hospital manager suspects that pet owners visit the veterinarian less than 3 times a year. To verify this suspicion, he hires a market research agency that takes a random sample of 64 clients and asks them the number of times they go to the veterinarian per year. The decision the market researcher makes is that if 2.8, then he will have sufficient evidence to say that the manager's suspicion is true. Assume that the frequency of visiting the veterinarian has a standard deviation of 1.02. a) Write the null hypothesis and the alternative hypothesis in this case. b) What is the rejection region used by the investigator? c) What is the probability of type I. error if this rejection region is used? d) If the true mean of the number of visits to the veterinarian is = 2.7, what is the probability of type II error? e) If the true mean of the number of visits to the veterinarian is = 2.7, what is the power of the test? f) If the true mean of the number of visits to the veterinarian is = 2.7, what is the sample size required to obtain a power of 0.9?
A veterinary hospital manager suspects that pet owners visit the veterinarian less than 3 times a year. To verify this suspicion, he hires a market research agency that takes a random sample of 64 clients and asks them the number of times they go to the veterinarian per year. The decision the market researcher makes is that if 2.8, then he will have sufficient evidence to say that the manager's suspicion is true. Assume that the frequency of visiting the veterinarian has a standard deviation of 1.02.
a) Write the null hypothesis and the alternative hypothesis in this case.
b) What is the rejection region used by the investigator?
c) What is the
d) If the true mean of the number of visits to the veterinarian is = 2.7, what is the
probability of type II error?
e) If the true mean of the number of visits to the veterinarian is = 2.7, what is the
power of the test?
f) If the true mean of the number of visits to the veterinarian is = 2.7, what is the
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