SOLUTION: The historical mean for fish caught at a certain Florida lake is 10 pounds with a standard deviation of 1.2 pounds. A fishman goes on a Satuday and catches 12 fish whhich had a me

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Question 222354: The historical mean for fish caught at a certain Florida lake is 10 pounds with a standard deviation of 1.2 pounds. A fishman goes on a Satuday and catches 12 fish whhich had a mean weight of 11 pounds. Has themean weight of fish at the Florida lake increased? Use a = .05 Please show calculation to problem.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The historical mean for fish caught at a certain Florida lake is 10 pounds with a standard deviation of 1.2 pounds. A fishman goes on a Satuday and catches 12 fish whhich had a mean weight of 11 pounds. Has themean weight of fish at the Florida lake increased? Use a = .05 Please show calculation to problem.
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Ho: u = 10
H1: u > 10
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Critical value for 1-tail test with alpha = 5% and df = 10: t = 1.7959
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test statistic: t(11)= (11-10)/[1.2/sqrt(11)] = 2.7639
p-value = P(t>2.7639 with df=11) = 0.0092
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Conclusion: since the p-value is less than 5%, reject Ho.
The mean wt. at the lake has increased.
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Cheers,
Stan H.