Question

The mean height of a certain kind of plant is 171 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 171. State the null hypothesis and the alternative hypothesis that we would use for this test.

Answer 1

Null Hypothesis:
`H_0:\mu=171`

Alternative Hypothesis:
`H_1:\mu\\eq 171`

Explanation:

It is given that the mean height of a certain kind of plant is 171 centimeters.

Null Hypothesis: A hypotheses of no statistical significant difference is known as null hypothesis. The null hypotheses for this test is

`H_0:\mu=171`

Alternative Hypothesis: If a hypothesis is used in hypothesis testing that is contrary to the null hypothesis is known as alternative hypotheses. The alternative hypotheses for this test is

`H_1:\mu\\eq 171`