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# hypothesis tests

Review questions below and indicate which confidence interval statistic you would use in each case (z-sigma, Z-s, or t-s):

Brown bullheads are a common Great lakes feeding fish and indicator species for sediment health. The current study focused on the weight of fish taken in various locations.

a. A sample of 27 brown bullheads was taken from the buffalo river. The sample average was 14 ounces. Researchers wanted to compute confidence intervals for this sample. They felt comfortable using a standard deviation from a large and well-done study of great lakes brown bullheads. Which statistics would you use to compute a confidence interval here?
(Z-sigma, Z-s, or t-s)

b. A sample of 27 brown bullheads was taken form the buffalo river. the sample average was 14 ounces, with a standard deviation of 1.5 ounces. Researchers used 1.5 ounces as their standard deviation measurement. Which statistics would you use to compute a confidence interval here?
(Z-sigma, Z-s, or t-s)

c. A sample of 33 brown bullheads was taken from the Buffalo River. the sample average was 14 ounces, with a standard deviation of 1.5 ounces. Resaerchers used 1.5 ounces as their standard deviation measurement. Which statistics would you use to compute a confidence interval here?
(Z-sigma, Z-s, or t-s)

5. Confidence interval for porportions:
A sample of 80 Alaskan King Salmon was taken near Holy Cross, Alaska. Exactly 16 of these fish weighed 15 pounds or more. Find the 99% confidence interval of the true proportion of fish weighing over 15 pounds or more.

#### Solution Summary

Solutions to hypothesis tests are provided.

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