15. Captain D's tuna is sold in cans that have a net weight of 8 ounces. The weights are normally distributed with a mean of 8.025 ounces and a standard deviation of 0.125 ounces. You take a sample of 36 cans. Compute the probability that the sample would have a mean:

a. greater than 8.03 ounces?
b. less than 7.995 ounces?
c. between 7.995 and 8.03 ounces?

16. The mean hourly wage of finish carpenters in Phoenix, AZ is $16.50 per hour. What is the likelihood that we could select a sample of 40 carpenters with a mean of $16.75 or more? The standard deviation of the sample is $1.75.

17. The anticipated mean weight of logging trucks entering the Hafner Saw mill in southern Ohio is 78,000 pounds. A sample of 48 trucks has a mean of 78,700 pounds and a standard deviation of 1,750 pounds. What is the probability that a sample of this size could come from the population with a mean of 78,000 pounds?

Samples of size 49 are drawn from a population with a mean of 36 and a standard deviation of 15. What is the probability that the sample mean is less than 33?

Individual scores of a placement examination are normally distributed with a mean of 84.2 and a standard deviation of 12.8.
If the score of an individual is randomly selected, find the probability that the score will be less than 90.0.
If a random sample of size n = 20 is selected, find the probability that the sample mean

A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3. Find the probability that the sample mean computed from the 25 measurements will exceed

The Oil Price Information Center reports the mean price per gallon of regular gasoline is 3.26 with a population standard deviation of 0.18. Assume a random sample of 40 gasoline stations is selected and their mean cost for regular gasoline is computed.
a.) What is the standard error of the mean in this experiment?
b.) What

1. A population of unknown shape has a mean of 75. you select a sample of 40. the standard deviation of the sample is 5. What is the probability that the sample mean is between 76 and 77?
a. 0.3980
b. 0.8905
c. 0.0081
d. 0.3943
2. a population has a mean of 50 and a standard deviation of 12. FOr samples of size 9, sam

1. An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size = 225.
a. What is the probability that the sample mean will fall within $800 of the population mean?
b. What is the probability that the

Q1: Why does the samplesize play such an important role in reducing the standard error of the mean? What are the implications of increasing the samplesize?
Q2: Why might one be interested in determining a samplesize before a study is undertaken? How do population variability and a level of certainty affect the size of

Construct a graph determining the probability for the following problems. The sample mean andsample standard deviation are present. Construct a 90% confidence interval using the population mean andsamplesize.

The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500 psi.
a. What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200.
b. If the samplesize had been 15 rather than 40, could the probability requested in part (a) b