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In: Statistics and Probability

The amount of corn chips dispensed into a 10-ounce bag by the dispensing machine has been...

The amount of corn chips dispensed into a 10-ounce bag by the dispensing machine has been identified at possessing a normal distribution with a mean of 10.5 ounces and a standard deviation of 0.2 ounces (these are the population parameters). Suppose a sample of 100 bags of chips were randomly selected from this dispensing machine. Find the probability that the sample mean weight of these 100 bags exceeded 10.6 ounces. (Hint: think of this in terms of a sampling distribution with sample size = 100)

a. 0.6915

b. 0.3085

c. 0.1595

d. Approximately 0

Solutions

Expert Solution

The amount of corn chips dispensed into a 10-ounce bag by the dispensing machine has been identified at possessing a normal distribution with a mean 10.5 ounce and a SD of 0.2 ounces. now suppose a sample of 100 bags of chips were randomly selected from this dispensing machine.

now, we want to find the probability that the sample mean weight of 100 bags exceeded 10.6 ounces.

Hence correct answer is option d. Approximately 0

orchestra answered 2 years ago
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