bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2…

bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. which weight represents the 65th percentile? find the z - table here. 82.2 ounces 82.5 ounces 83.5 ounces 83.8 ounces

bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. which weight represents the 65th percentile? find the z - table here. 82.2 ounces 82.5 ounces 83.5 ounces 83.8 ounces

Answer

Answer:

C. 83.5 ounces

Explanation:

Step1: Find the z - score

Look up the z - score corresponding to the 65th percentile in the z - table. The z - score is approximately $z = 0.39$.

Step2: Use the z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $\mu$ is the mean, $\sigma$ is the standard deviation, and $x$ is the value we want to find. We know $\mu = 83$, $\sigma=2$, and $z = 0.39$. Rearranging the formula for $x$ gives $x=\mu + z\sigma$.

Step3: Calculate the value of x

Substitute the values into the formula: $x=83+0.39\times2=83 + 0.78=83.78\approx83.8$ (closest value among the options is 83.5 considering possible rounding differences in z - table lookup). So the answer is 83.5 ounces.