Solved on Sep 19, 2023

Which statement about a negatively skewed distribution's density curve is true? A.Right tail is longer than leftA. \text{Right tail is longer than left} B.Left and right tails are equalB. \text{Left and right tails are equal} C.Left and right sides are mirror imagesC. \text{Left and right sides are mirror images} D.Left tail is longer than rightD. \text{Left tail is longer than right}

STEP 1

Assumptions1. We are dealing with a density curve of a distribution. . The distribution is negatively skewed.
3. We understand that skewness refers to the asymmetry of the distribution around its mean.
4. The length of the tail refers to the extent of the values on one side of the mean.

STEP 2

In a negatively skewed distribution, the tail on the left side of the distribution extends more towards the left from the mean than the right tail extends towards the right. This is due to the presence of more low-valued outliers.

STEP 3

Therefore, the correct statement about a negatively skewed distribution is that the left tail is longer than the right tail.
So, the answer is D. The left tail is longer than the right.

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