Question

The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions​ (a) through​ (e).

60,42,51,33,38

(b) Compute the mean for all

5 Upper C 2 equals 105C2=10

samples with size

n=2.

Sample	Sample Mean		Sample	Sample Mean
60​,42			42​,33
60​,51			42​,38
60​,33			51​,33
60​,38			51​,38
42​,51			33​,38

(c) Construct a sampling distribution for the mean by listing the sample means and their corresponding probabilities.

Give all the unique sample means in ascending order. ​(Type N if there is no​ solution.)

	Sample Mean	Probability		Sample Mean	Probability
1			6
2			7
3			8
4			9
5			10

​(d) Compute the mean of the sampling distribution.

The mean of the sampling distribution is

_____________

years.

​(e) Compute the probability that the sample mean is within

33

years of the population mean age.

The probability is

-------------

Answer 1

sample	sample mean		sample	sample mean
60,42	51		42,33	37.5
60,51	55.5		42,38	40
60,33	46.5		51,33	42
60,38	49		51,38	44.5
42,51	46.5		33,38	35.5

c)

	sample mean	probability		sample mean	probability
1	37.5	0.1	6	46.5	0.2
2	35.5	0.1	7	49	0.1
3	40	0.1	8	51	0.1
4	42	0.1	9	55.5	0.1
5	44.5	0.1	10	N	N

d)

  mean of the sampling distribution =44.8

e)

probability that the sample mean is within years of the population mean age.=0.4