Question

A random sample of 35 rabbits of a particular species was collected. The lengths of the rabbit tails were measured. From the sample, the mean tail length was found to be 3.3 cm. Assume that the population tail length has a Normal distribution with a standard deviation of 1.2 cm.

From a reference book, it was stated that the mean tail length for rabbits of this particular species is 2.6 cm. A hypothesis test for the mean µ was conducted. Which of the following is TRUE?

Select one:
a. Null hypothesis Ho: µ=2.6 ± 1.2; Alternative hypothesis Ha: µ=3.3 ± 1.2
b. Null hypothesis Ho: µ=2.6; Alternative hypothesis Ha: µ>2.6
c. Null hypothesis Ho: µ=3.3 ± 1.2; Alternative hypothesis Ha: µ=2.6 ± 1.2
d. Null hypothesis Ho: µ=2.6; Alternative hypothesis Ha: µ<2.6
e. Null hypothesis Ho: µ=2.6; Alternative hypothesis Ha: µ≠2.6

Answer 1

We need to test if the mean tail length is same as 2.6. Hence,

Our hypotheses will be:

Ho : μ = 2.6

Ha: $\mu \neq 2.6$

Option E is correct.