Solution:
x | x2 |
32 | 1024 |
30 | 900 |
29 | 841 |
28 | 784 |
27 | 729 |
26 | 676 |
25 | 625 |
22 | 484 |
21 | 441 |
47 | 2209 |
40 | 1600 |
35 | 1225 |
22 | 484 |
27 | 729 |
30 | 900 |
26 | 676 |
40 | 1600 |
x=507 | x2=15927 |
The sample mean is
Mean = (x / n) )
=32+30+29+28+27+26+25+22+21+47+40+35+22+27+30+26+40/17
=507/17
=29.8235
The sample standard is S
S =(
x2 ) - ((
x)2 / n ) n -1
=15927-(507)217/16
=15927-15120.5294/16
=806.4706/16
=50.4044
=7.0996
Degrees of freedom = df = n - 1 = 17 - 1 = 16
At 98% confidence level the t is ,
= 1 - 98% = 1 - 0.98 = 0.02
/ 2 = 0.02 / 2 = 0.01
t /2,df = t0.01,16 =2.583
Margin of error = E = t/2,df * (s /n)
= 2.583* (7.10 / 17)
= 4.45
Margin of error = 4.45
The 98% confidence interval estimate of the population mean is,
- E < < + E
29.82 - 4.45 < < 29.82 + 4.45
25.37 < < 34.27
(25.37, 34.27 )
USUULUYP43121bUOY-CV-WaUbben My OKstate Canvas b Billighway Geriatric Book UCO ASL Book 1 Spring 2020 Stat 2013/2053...