Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Answer:
1. Q1=7 Q3=12 IQR=5
2. Q1=8 Q3=33 IQR=25
3. Q1=4.5 Q3=10 IQR=5.5
Step-by-step explanation:
hope this helps have a good day or night
Answer:
(-4/3), 0.4, 0.8, √2, √11
Step-by-step explanation:
√11=3.316624790355399849114932736670686683927088545589353597058
0.4
(-4/3) = -1.33333333333333333333333333333333333333333333333333333333
0.8
√2=1.414213562373095048801688724209698078569671875376948073176
Thus :
(-4/3)
0.4
0.8
√2
√11
OH THANKS A LOT AND ITS 11