HELP PLZ The mean weight of an elephant is 10,000 lbs with a standard deviation of 500 lbs. A house cat has a mean weight of 12 lbs with a standard deviation of 3 lbs. If an elephant weight 10,500 lbs and a house cat weighs 14 lbs which one has a comparatively higher weight.
To determine which animal has a comparatively higher weight, we can calculate their respective z-scores. The formula for calculating a z-score is:
z = (x - μ) / σ
Where:
- x is the given weight
- μ is the mean weight
- σ is the standard deviation
Let's calculate the z-scores for the given weights:
For the elephant:
z_elephant = (10,500 - 10,000) / 500
For the house cat:
z_cat = (14 - 12) / 3
Now we can compare the z-scores. A higher z-score indicates a weight that is comparatively farther from the mean.
If the absolute value of the z-score for the elephant is higher than the absolute value of the z-score for the cat, then the elephant has a comparatively higher weight. Otherwise, the cat has a comparatively higher weight.
You can calculate the z-scores and compare them to determine which animal has a comparatively higher weight.