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Answer :
For this hypothesis test, the null hypothesis (H0) is that the mean height of individuals on Mars is equal to or less than 1.70 meters.
What is hypothesis test?
Hypothesis testing is a statistical method used to make decisions about a population based on sample data. It is used to test a stated belief or assumption about a population and determine whether it is likely to be true or false. Hypothesis testing involves two hypotheses, the null hypothesis that states that there is no difference between the observed sample and the population and the alternative hypothesis which states that there is a difference between the observed sample and the population.
We will use a one-tailed t-test to compare the mean height on Mars to our benchmark of 1.70 meters. We will use a significance level of 0.05. We will calculate the t-statistic and the p-value for this test. If the p-value is less than our significance level, we can reject the null hypothesis and accept the alternative hypothesis. Based on this test, we can conclude that the mean height of individuals on Mars is greater than 1.70 meters.
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