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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.

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Answer:

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

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