Find the indicated probability or percentage for the sampling error.
-The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a standard deviation of 0.18 ounce. What is the probability that the
Sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a
Random sample of 100 jars will be at most 0.02 ounce?
A)0.7330
B)0.0938
C)0.0876
D)0.8665

Question

Find the indicated probability or percentage for the sampling error.
-The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a standard deviation of 0.18 ounce. What is the probability that the
Sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a
Random sample of 100 jars will be at most 0.02 ounce? 
A)0.7330
B)0.0938
C)0.0876
D)0.8665

Quizplus · Accepted Answer

The probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce is 0.7330. This is because the sampling error is normally distributed with a mean of 0 and a standard deviation of 0.018. The probability that the sampling error will be at most 0.02 ounce is the area under the normal curve between -0.02 and 0.02, which is 0.7330.

Find the Indicated Probability or Percentage for the Sampling Error