Question

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


Related Solutions

The amount of corn chips dispensed into a 13​-ounce bag by the dispensing machine has been...
The amount of corn chips dispensed into a 13​-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 13.5 ounces and a standard deviation of 0.4 ounces. Suppose 50 bags of chips were randomly selected from this dispensing machine. Find the probability that the sample mean weight of these 50 bags exceeded 13.6 ounces. Round to four decimal places.
Weights of 10-ounce bag corn chips follow a normal distribution with µ=10 and σ=0.3 ounces. Find...
Weights of 10-ounce bag corn chips follow a normal distribution with µ=10 and σ=0.3 ounces. Find the probability that –(i) the sample mean weight of 49 randomly selected bags exceeds 10.25 ounces. –(ii) the sample mean weight of 49 randomly selected bags is less than 10.20 ounces.
The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally...
The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. d) What is the percentile rank of a bag that contains 1450 chocolate​ chips?
the number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally...
the number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1175 chocolate chips? (d) what is the percentile rank of...
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally...
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation of 129 chips. a. What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips? b. What is the probability that a randomly selected bag contains more than 1225 chocolate chips? c. What is the percentile rank of a bag that contains 1425 chocolate chips Suppose the lengths of...
The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally...
The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. ​ (a) What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips? ​ (b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate​ chips? ​ (c) What proportion of bags contains more than 1225 chocolate​ chips? ​(d) What is the percentile rank of a...
The amount of coffee dispensed by a drink vending machine is normally distributed with a mean...
The amount of coffee dispensed by a drink vending machine is normally distributed with a mean of 12.1 oz. What is the probability that a randomly selected cup of coffee has more than 12.8 oz? Assume that the standard deviation for all drink vending machines is 0.38
The daily amount of​ coffee, in​ liters, dispensed by a machine located in an airport lobby...
The daily amount of​ coffee, in​ liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with Aequals 9 and Bequals 12 . Find the probability that on a given day the amount of coffee dispensed by this machine will be ​(a) at most 11.1 ​liters; ​(b) more than 9.5 liters but less than 11.3 ​liters; ​(c) at least 10.5 liters.
Jamie believes that a 9 ounce bag of potato chips does not really contain 9 ounces...
Jamie believes that a 9 ounce bag of potato chips does not really contain 9 ounces of chips. It is known that all potato chip bags are normally distributed with a standard deviation of 1 ounce. He wants to test this hypothesis at the 5% level of significance. He takes a sample of 40 bags of chips and finds the average amount of potato chips to be 10.5 ounces. What should Jamie’s conclusion be using the p-value approach? Be sure...
he number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally...
he number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. ​(a) What is the probability that a randomly selected bag contains between 1100 and 1400 chocolate​ chips, inclusive? ​(b) What is the probability that a randomly selected bag contains fewer than 1025 chocolate​ chips? ​(c) What proportion of bags contains more than 1200 chocolate​ chips? ​(d) What is the percentile rank of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT