A random sample of 17 trout are selected from Wheatland Reservoir #3 are found to have a mean length of 16.4 inches with a standard deviation of 2.5 inches. A similar sample of size 14 is selected from Twin Buttes Reservoir with a mean length of 13.5 inches and a standard deviation of 2.1 inches. Assume both populations of trout have lengths which are normally distributed. a. Construct a 90% confidence interval for the difference between the true mean lengths for these populations. What does this interval tell you? b. Construct a 90% confidence interval for the ratio of the population variances. What does this interval tell you? Discuss how the answer to part “b* could change your answer to part "a".

MATLAB: An Introduction with Applications
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A random sample of 17 trout are selected from Wheatland Reservoir #3 are found to
have a mean length of 16.4 inches with a standard deviation of 2.5 inches. A similar
sample of size 14 is selected from Twin Buttes Reservoir with a mean length of 13.5
inches and a standard deviation of 2.1 inches. Assume both populations of trout have
lengths which are nomally distributed.
a. Construct a 90% confidence interval for the difference between the true mean
lengths for these populations. What does this interval tell you?
b. Construct a 90% confidence interval for the ratio of the population variances.
What does this interval tell you? Discuss how the answer to part “b* could change
your answer to part "a".
Transcribed Image Text:A random sample of 17 trout are selected from Wheatland Reservoir #3 are found to have a mean length of 16.4 inches with a standard deviation of 2.5 inches. A similar sample of size 14 is selected from Twin Buttes Reservoir with a mean length of 13.5 inches and a standard deviation of 2.1 inches. Assume both populations of trout have lengths which are nomally distributed. a. Construct a 90% confidence interval for the difference between the true mean lengths for these populations. What does this interval tell you? b. Construct a 90% confidence interval for the ratio of the population variances. What does this interval tell you? Discuss how the answer to part “b* could change your answer to part "a".
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