The Atlantic bluefin tuna is the largest and most endangered of the tuna species. They are found throughout the North Atlantic O
cean and the mean weight is 550 pounds.37 The Center for Biological Diversity is concerned that this species has been overfished and that the mean weight has decreased. Suppose a random sample of 12 Atlantic bluefin tuna was obtained from commercial fishing boats and weighed. The summary statistics were x 5 535.7 and s 5 37.8. Conduct a hypothesis test to determine whether there is any evidence that the mean weight of Atlantic bluefin tuna is less than 550 pounds. Assume the distribution of weight is normal and use a 5 0.05. Write a Solution Trail for this problem.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Sample proportion p is the proportion of favourable numbers to total number in the sample
By central limit theorem and also approximation of binomial to normal , we have sample proportion for large number of samples will be normal
with mean = sample proportion
and std deviation =
Thus we find standard deviation of proportion sample is inversely proportional to the square of the sample size n.
It follows automatically that as sample size increases std deviation decreases.
Here from 80 sample size was made to 200
So std deviation would decrease automatically
Answer:
Step-by-step explanation:
Normally we wouldn't have our square variable be negative, so in order to get rid of that negative sign without changing the equation is by multiplying by -1