The following information gives the number of days absent...

The following information gives the number of days absent from work for a population of 5 workers at a small factory. Worker Number of Days Absent A 5 B 7 C 1 D 4 E 8 a. Find the mean and the standard deviation for the population. Samples of size 2 will be drawn from the population. Use the answers in part a to calculate b. the expected value and the standard deviation of the sampling distribution of the sample mean. Find all the samples of 2 workers that can be extracted from this population. Choose the c. samples without replacement. d. Compute the sample mean x for each of the samples in Part c.

Transcript

00:02 Here number of absent days for 5 workers are given as population.

00:11 Therefore, n is equal to 5.

00:15 For worker a, the number of absent is given as 5.

00:20 For worker b, it is given that 7.

00:24 For worker c, it is 1.

00:26 For worker d it is 4 and for worker e it is 8 the mean for the population can be obtained by using the formula sum of observations divided by number of workers that is 5 plus 7 plus 1 plus 4 plus 8 divided by 5 which is equal to 25 the standard deviation can be calculated using the formula square root of sum of x minus mu the whole square divided by n that is square root of 5 minus 25 the whole square plus 7 minus 25 the whole square so on 8 minus 25 the whole square whole divided by whole square whole divided by 5 which is equal to 2 .4495.

01:33 The population main is 25 and population standard deviation is 2 .449.

01:42 The expected value of sampling distribution of sample mean is mu x bar is equal to mu.

01:50 Therefore this value is 5.

01:54 The standard deviation of sampling distribution of sampling distribution of sample main is sigma by root n that is 2 .4495 divided by square root of 2.

02:10 Here the sample size is given as small n is equal to 2 therefore which is equal to 1 .7321.

02:22 The expected value of sampling distribution of sample mean is 5 and the standard deviation of sampling distribution of sample mean is 1 .7321...

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