Question

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":

Answer 1

H₀: = 12

H₁: > 12

The test statistic z = (x - )/()

                              = (13 - 12)/(1/sqrt(14))

                              = 3.74

At alpha = 0.05 the critical value is z_0.95 = 1.645

As the test statistic value is greater than the critical value (3.74 > 1.645), so the null hypothesis is rejected.

So there is sufficient evidence to support the researcher's claim that American Basset Hounds were taller than European Basset Hounds.