the sampling distribution of the sample mean for normal population when the variance is known or unknown

the sampling distribution of the sample mean for normal population when the variance is known or unknown.

. . . . 2. . . Given Population and sample/ sample size Population variance is known Sample and population mean, Population variance is unknown We can solve Standard error Standard error w/ FPC Determining probability.

Correction for a finite population. . 3.

. example. In a random sample of 20 costumers at Mc Bee, the mean waiting time to order is 95 seconds, and the standard deviation is 21 seconds..

. example. The values of the population are 3, 4, 6, 7, and 10. Two samples are drawn without replacement..

. example. . 6.

. example. . 7.

. example. . 8.

. practice. The sample averages of STEM students this year are 88, 90, 89, 93, and 95. The usual average in the previous years is 93. Two samples are drawn at a time without replacement to determine the standard error..

. practice. Consider a population consisting of 1, 2, 3, 4, 5, 8, 9 and 11 samples of size 3 are drawn from this population..

. practice. Given the population mean of 12, and a sample standard deviation of 3 in the sample size of 125..

. practice. A population composed of 10 items whose measurements are 11, 12, 15, 8, 20 23, 18, 13, 22 and 10 period samples of 6 items are drawn at random without replacement..

. practice. A manufacturer of light bulbs produces bulbs that has a mean of 800 hours with a standard deviation of 100 hours to assess the claim of the manufacturer a random sample of 12 of these bulbs was tested and found to have a mean of 790 hours..

Summary. . 14.

summary. . 15.

16. Philip Morrison quote: The probability of success is difficult to estimate; but if....