Use this data to construct a confidence interval and testing hypothesis. this da
ID: 3155497 • Letter: U
Question
Use this data to construct a confidence interval and testing hypothesis.
this data set for mean
County
TDCJ Total On Hand
Anderson
506
Armstrong
9
Bell
2006
Bosque
128
Brewster
24
Brooks
42
Cameron
1871
Carson
82
Collin
1716
Coryell
376
Crosby
19
Culberson
5
Dallas
16854
Denton
1743
Ellis
845
El Paso
2210
Falls
151
Floyd
47
Freestone
125
Glasscock
4
Hale
320
Harris
26647
Hill
337
Houston
197
Hudspeth
8
Hutchinson
100
Jeff Davis
3
Jim Hogg
22
Kenedy
12
Leon
85
Limestone
251
Lubbock
2170
McLennan
2390
Madison
94
Midland
1170
Montgomery
2245
Moore
127
Navarro
519
Potter
1965
Presidio
11
Reagan
15
Robertson
119
Starr
206
Tarrant
10510
Travis
4509
Upton
13
Walker
244
Willacy
125
Williamson
1245
Zapata
37
Use this data to construct a confidence interval and testing hypothesis.
this data set for proportion.
Bins
Frequency
Intervals
499
32
0-499
999
3
500-999
1499
2
1000-1499
1999
4
1500-1999
2499
5
2000-2499
2999
0
2500-2999
3499
0
3000-3499
3999
0
3500-3999
4499
0
4000-4499
County
TDCJ Total On Hand
Anderson
506
Armstrong
9
Bell
2006
Bosque
128
Brewster
24
Brooks
42
Cameron
1871
Carson
82
Collin
1716
Coryell
376
Crosby
19
Culberson
5
Dallas
16854
Denton
1743
Ellis
845
El Paso
2210
Falls
151
Floyd
47
Freestone
125
Glasscock
4
Hale
320
Harris
26647
Hill
337
Houston
197
Hudspeth
8
Hutchinson
100
Jeff Davis
3
Jim Hogg
22
Kenedy
12
Leon
85
Limestone
251
Lubbock
2170
McLennan
2390
Madison
94
Midland
1170
Montgomery
2245
Moore
127
Navarro
519
Potter
1965
Presidio
11
Reagan
15
Robertson
119
Starr
206
Tarrant
10510
Travis
4509
Upton
13
Walker
244
Willacy
125
Williamson
1245
Zapata
37
Explanation / Answer
Using first set of data
Mean = 1689.18
SD = 4573.25
n = 50
SE = SD/n
= 4573.25 / 50
= 646.75
95% confidence level
Z value for alpha = 0.05 is 1.96
95% confidence interval = [mean - z*SE, mean + z*SE]
= [1689.18 - 1.96*646.75, 1689.18 + 1.96*646.75]
= [421.55, 2956.81]
Now, we an use baove confidence interval for hypothesis testing
For second data set,
Lets do it for proportion in 500-999 = 3/46 = 0.065
p = 0.065
SE = p(1-p)/n
n = 9
SE = 0.065(1-0.065)/9
= 0.0823
Z value at 95% confidence level is 1.96
95% confidence interval = [p-z*SE, p+z*SE]
= [0.065 - 1.96*0.0823, 0.065 + 1.96*0.0823]
= [-0.096, 0.2263]
We can use this interval for hypothesis testing.
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