Question

3. A researcher was interested in whether American Basset Hounds were taller than European Basset Hounds. The average height for a European Basset Hound in the population is 12" (? = 1"). She took a sample of 14 American Basset Hounds and found that their average height was 13":

a) What is the IV?

b) What is the DV?

c) What is the research question?

d) What is the Null Hypothesis in symbols and in words?

e) What is the Research Hypothesis in symbols and in words?

f) Is this a directional or a non-directional hypothesis?

g) Compute the z-score for the sample’s mean.

h) What is the critical z-score for rejecting the Null hypothesis?

i) Do you reject or fail to reject the Null hypothesis?

j) What would be your conclusion about the new production methods given your results?

Answer 1

There are 2 variables here. The type of hounds American or european and their heights.

a) The Independent variable is the type of Hound. American or European.

b) The dependent variable is the height as it depends on which type of hound.

c) The research question is whether American Hounds heights is greater than European Hounds.

d) The Null Hypothesis: H0: = 12" : The avereage height of American Basset Hounds is equal to 12 inches.

e) The Research Hypothesis: Ha: > 12" : The avereage height of American Basset Hounds is greater than 12 inches.

f) This is a direction hypothesis, i.e it is a 1 tailed test.

g) The Test Statistic:

h) The Critical Z score for = 0.05 (default), right tail is 1.645

i) The rule is if Z test is > 1.645, then reject H0. Here since Z test(3.74) is > 1.645, we Reject H0.

j) The Conclusion: Reject H0. There is sufficient evidence at the = 0.05 level to conclude that the avereage height of American Basset Hounds is greater than 12 inches.