# Question: Scores on a particular test taken by a large group

Scores on a particular test, taken by a large group of students, follow a normal distribution with a standard deviation of 40 points. A random sample of 16 scores was taken to estimate the population mean score. Let the random variable x-bar denote the sample mean. What is the probability that the interval (x-bar – 10) to (x-bar + 10) contains the true population mean?

## Relevant Questions

In a particular year 40% of home sales were partially financed by the seller. A random sample of 250 sales is examined. a. The probability is 0.8 that the sample proportion is more than what amount? b. The probability is 0.9 ...A consumer product that has flourished in the last few years is bottled natural spring water. Jon Thorne is the CEO of a company that sells natural spring water. He has requested a report of the filling process of the ...A simple random sample is to be taken of 527 business majors in a college to estimate the proportion favoring greater emphasis on business ethics in the curriculum. How many observations are necessary to ensure that a 95% ...A process produces bags of refined sugar. The weights of the contents of these bags are normally distributed with standard deviation 1.2 ounces. The contents of a random sample of 25 bags had a mean weight of 19.8 ounces. ...A machine that packages 18-ounce (510-gram) boxes of sugar-coated wheat cereal is being studied. The weights for a random sample of 100 boxes of cereal packaged by this machine are contained in the data file Sugar. a. Find a ...Post your question