The mean weight of female dancers in a local modern dance company is at least 138 lbs. Express the null and alternative hypotheses in symbolic form for this claim.

Question

H_0 : μ _____
H_1 : μ _____

Use the following codes to enter the following symbols:

≥ enter >=

≤ enter <=

≠ enter !=

Answer 1

To express the null and alternative hypotheses for the claim that the mean weight of female dancers in a local modern dance company is at least 138 lbs, we can define them as follows:

• The null hypothesis (H₀) states that the mean weight is at least 138 lbs.
• The alternative hypothesis (H₁) states that the mean weight is less than 138 lbs.

Therefore, in symbolic form, the hypotheses are:

H₀: μ >= 138
H₁: μ < 138