Confidence interval estimate of the population mean

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1. A population consists of the following four values: 8, 10, 12, and 16. From this population, there are six different samples of size 2. The means of the six samples of size 2 are 9, 10, 12, 11, 13, and 14.

Compute the mean of the distribution of the sample means and the population mean. What is true about the two values?

2. A population consists of 10 values. How many samples of size six are possible?

3. A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes?

4. There are 250 computer programmers employed at Computers.com, Inc. A sample of 50 programmers revealed that 30 graduated with a four-year college degree. Construct the 95 percent confidence interval for the proportion of all programmers who graduated from a four-year university.

5. Sugar is packaged in 16-ounce bags. If 42 bags are sampled, with a mean of 15.95 ounces and a standard deviation of 0.4 ounces, what is the 99% confidence interval estimate of the population mean?

Reference no: EM132849230

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