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The mean weight of male aerobics instructors in a certain city is less than 169 lbs. Express the null and alternative hypotheses in symbolic form for this claim.

- Null Hypothesis (H₀): [tex]\mu \geq 169[/tex]
- Alternative Hypothesis (H₁): [tex]\mu < 169[/tex]

Answer :

Final answer:

The null hypothesis (H₀) for this statistical problem is 'μ >= 169', implying the mean weight is>=169 lbs. The alternative hypothesis (H₁) is 'μ < 169', implying the mean weight is less than 169 lbs.

Explanation:

In statistics, hypotheses are often set up to test the validity of a claim or statement. The null hypothesis (H₀) is the current belief or status quo while the alternative hypothesis (H₁) is what the test is looking to prove or disprove. In this case, we are testing the claim that the mean weight of male aerobics instructors is less than 169 lbs.

So, for this particular problem, the null hypothesis, H₀, is: 'μ >= 169'. This suggests that the mean weight is greater than or equals 169 lbs. The alternative hypothesis, H₁, is: 'μ < 169'. This suggests that the mean weight is less than 169 lbs. We will 'reject' the null hypothesis if our data supports the alternative hypothesis.

Learn more about Hypothesis Testing here:

https://brainly.com/question/31665727

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