Problem

Score: $72 / 100 \quad 13 / 17$ answered
Question 6
The mean weight of female dancers in a local modern dance company is at most $144 \mathrm{lbs}$. Express the null and alternative hypotheses in symbolic form for this claim.
\[
\begin{array}{l}
H_{0}: \mu \\
H_{1}: \mu
\end{array}
\]
Use the following codes to enter the following symbols:
\[
\begin{array}{l}
\geq \text { enter }> = \\
\leq \text { enter } \\
\neq \\
\neq \text { enter } !=
\end{array}
\]
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Answer

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Answer

Thus, the null and alternative hypotheses in symbolic form for this claim are: \[\begin{array}{l} H_{0}: \mu = 144 \\ H_{1}: \mu < 144 \end{array}\]

Steps

Step 1 :The problem is asking to express the null and alternative hypotheses in symbolic form for the claim that the mean weight of female dancers in a local modern dance company is at most 144 lbs.

Step 2 :The null hypothesis (H0) is the hypothesis that the claim is true. So, the null hypothesis would be that the mean weight (µ) is equal to 144 lbs.

Step 3 :The alternative hypothesis (H1) is the hypothesis that the claim is false. So, the alternative hypothesis would be that the mean weight (µ) is less than 144 lbs.

Step 4 :Thus, the null and alternative hypotheses in symbolic form for this claim are: \[\begin{array}{l} H_{0}: \mu = 144 \\ H_{1}: \mu < 144 \end{array}\]

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