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# hypothesis tests

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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.

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review question 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 ...

#### Solution Summary

The solutions to hypothesis tests are provided. The confidence interval statistics for each case are provided.

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## One and Two Tailed Tests: Hypothesis Testing Problem

Ho: u = 50
H1: u not = 50
The sample mean is 49, and the sample size is 36. the population standard deviation is 5. Use the .05 significance level.

a. Is this a one or two tailed test.
b. What is the decision rule?
c. What is the value of the test statistic?
d. What is your decision regarding Ho?
e. What is the p-value? Interpret it.

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