High School

Express the null and alternative hypotheses in symbolic form for this claim:

The mean weight of male dancers in a local modern dance company is less than 173 lbs. Note that the mean weight in the sample taken is 181 lbs.

Use the following codes to enter the following symbols:
- Enter `<` for less than
- Enter `<=` for less than or equal to

H₀: μ >= 173
H₁: μ < 173

Answer :

The null hypothesis states that the mean weight of male dancers in the local modern dance company is equal to or greater than 173 lbs, while the alternative hypothesis states that it is less than 173 lbs.

The null hypothesis, denoted as H0, represents the claim that there is no significant difference and that the mean weight of male dancers in the local modern dance company is equal to or greater than 173 lbs. The alternative hypothesis, denoted as H1, represents the claim that there is a significant difference and that the mean weight of male dancers in the local modern dance company is less than 173 lbs. In symbolic form, the hypotheses can be expressed as:

H0: μ >= 173 lbs

H1: μ < 173 lbs

Learn more about the topic of Null and alternative hypotheses here:

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