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: \[ \begin{array}{l} \geq \text { enter }>= \\ \leq \text { enter } \\ \neq \\ \neq \text { enter } != \end{array} \] Question Help: D Post to forum

Solution

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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Source: https://solvelyapp.com/problems/17785/

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