Answer:
A.99.7%
Step-by-step explanation:
We are given;
- Mean of a distribution, μ as 0.68 ounce
- Standard deviation, σ as 0.02 ounce
- The range values of X between 0.62 ounce and 0.74 ounce
We are required to calculate the percentage of the weight to be between 0.62 ounce and 0.74 ounce
Step 1: Calculate the Z-score
To get the Z-score we use the formula;
Z-score = (x-μ)/σ
Therefore, when x = 0.62
Then z score = (0.62 - 0.68 ) ÷ 0.02
= -3
When, x = 0.74
Then, Z score = (0.74 - 0.68) ÷ 0.02
= 3
Step 2: we use the Z-score table or the empirical rule
Using the Z-score table;
P(-3 < z < 3) = 99.7%.
Therefore; the percentage of mice that weigh between 0.62 ounce and 0.74 ounce is 99.7%.
