The length of trout in a lake follows a normal distribution with mean length of 16...
The length of trout in a lake follows a normal distribution with mean length of 16 inches and standard deviation of 1.5 inches. Your friend claims that he randomly caught 25 trout from this lake and their average length was 17.2 inches. Do you believe him? Explain.
Homework Answers
Sample size = n = 25
Sample mean = 
= 17.2
Population standard deviation = 
= 1.5
The null and alternative hypothesis is
Level of significance = 0.05
Here population standard deviation is known so we have to use z-test statistic.
Test statistic is
Critical value = 1.96 ( Using z table)
Critical value > Test statistic | z | we fail to reject the null hypothesis.
Conclusion: The length of trout in a lake follows a normal distribution with a mean length of 16 inches.
Yes, you believe him.
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