Question

In: Statistics and Probability

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables

a. More than 60 pounds

d. Less than 55 pounds

Solutions

Expert Solution

We have given a random sample of households aluminum usage is monitored which is large , by the central limit theorem, the random variable has an approximately normal distribution.

The population mean with population standard deviation .

Now using as the Z-score for a given value.

(a) Probability that sample mean is more than 60 pounds.

So, the probability that the sample mean be more than 60 pounds is calculated as

________________

(b) Probability that sample mean be less than 55 pounds

So the probability that the sample mean be less than 55 pounds is calculated as

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 pounds b. More than 56 pounds c. Between 55 and 57 pounds d. Less than 55...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.4 pounds, what is the probability that the sample mean will be each of the following? a. More than 59 pounds b. More than 56 pounds c. Between 55 and 57 pounds d. Less than 53 pounds e. Less than...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.2 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 pounds b. More than 57 pounds c. Between 56 and 58 pounds d. Less than 55...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.4 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 pounds b. More than 57 pounds c. Between 55 and 57 pounds d. Less than 53...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.1 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 59 pounds b. More than 57 pounds c. Between 56 and 57 pounds d. Less than 53...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.4 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 pounds b. More than 57 pounds c. Between 56 and 57 pounds d. Less than 54...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.2 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 61 pounds b. More than 56 pounds c. Between 55 and 57 pounds d. Less than 54...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? a. More than 60 pounds b. More than 56 pounds c. Between 55 and 58 pounds d. Less than 54 pounds e. Less than...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.2 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 pounds b. More than 57 pounds c. Between 56 and 58 pounds d. Less than 55...
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year....
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.4 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 pounds b. More than 57 pounds c. Between 55 and 58 pounds d. Less than 55...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT