Question

The air temperature is measured every 6 hours for one week. The temperatures are given in the data table. Use the data to complete parts a through c below.

Data#   Temperature
1   42.8
2   55.6
3   41.3
4   44.6
5   43.4
6   58.5
7   46.1
8   45.6
9   41.6
10   59.9
11   51.1
12   46.3
13   54.6
14   56.2
15   54.9
16   43.2
17   51.7
18   51.8
19   49.8
20   47.4
21   46.2
22   55.2
23   51.9
24   41.3
25   50.2
26   59.8
27   49.3
28   48.4

a. Draw a systematic sample consisting of 2​ temperatures, and then calculate the sampling error for the sample.

The sampling error for the sample is ___degreesF. ​(Round to two decimal places as​ needed.)

b. Draw a systematic sample consisting of 4​ temperatures, and then calculate the sampling error for the sample.

The sampling error for the sample is ___degreesF. ​(Round to two decimal places as​ needed.)

c. Draw a systematic sample consisting of 7​ temperatures, and then calculate the sampling error for the sample.

The sampling error for the sample is negative _____degreesF. ​(Round to two decimal places as​ needed.)

Answer 1

Column1	Column2	2	4	7
1	42.8	42.8	42.8	42.8
2	55.6
3	41.3
4	44.6
5	43.4			43.4
6	58.5
7	46.1		46.1
8	45.6
9	41.6			41.6
10	59.9
11	51.1
12	46.3
13	54.6			54.6
14	56.2
15	54.9	54.9	54.9
16	43.2
17	51.7			51.7
18	51.8
19	49.8
20	47.4
21	46.2			46.2
22	55.2		55.2
23	51.9
24	41.3
25	50.2			41.3
26	59.8
27	49.3
28	48.4
	mean	48.85	49.75	45.94286

a)

sampling error is difference between statistic and parameter

here sample mean and population mean

population mean =

49.5964286

sampling error for systematic sample consisting of 2​ temperatures,

= 49.5964286 - 48.85

= 0.7464286

=0.75

b)

for 4

sampling error = |49.5964286 - 49.75|

= 0.15357

=0.15

c)

for 7

sampling error = |49.5964286 -45.94286|

= 3.65356