Final answer:
In this case, there are approximately 63.91 ounces of juice is in the bottle.
The answer is option ⇒B
Step-by-step explanation:
To determine approximately how much juice is in the bottle, we need to calculate the amount of juice based on the given information.
- 1. Calculate the standard deviation: The standard deviation is given as 0.06.
- 2. Calculate the mean: The mean amount of juice is stated to be 64 ounces.
- 3. Determine the deviation from the mean: The quality control manager mentions that the juice content is about 1.5 standard deviations below average.
- 4. Calculate the deviation amount: Multiply the standard deviation (0.06) by the number of standard deviations (1.5) to find the deviation amount. In this case, it would be 0.06 x 1.5 = 0.09.
- 5. Calculate the amount of juice in the bottle: Subtract the deviation amount from the mean. In this case, it would be 64 - 0.09 = 63.91 ounces.
Therefore, approximately 63.91 ounces of juice is in the bottle.
The answer is option ⇒B
Your question is incomplete, but most probably the full question was:
A certain brand of apple juice is supposed to have 64 ounces of juice. Because the filling machine is not precise, the exact amount of juice varies from bottle to bottle with a standard deviation = 0.06. However, the average (mean) amount of juice should be 64 ounces. The quality control manager occasionally needs to randomly select bottles and measure their contents to see if the machine is under- or over-filling.
She picks a bottle of apple juice off the line, measures the contents, and tells you that the juice content is about 1.5 standard deviations below average. Approximately how much juice is in the bottle?