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
Step-by-step explanation:
10 2/3 + 3 1/3 = 10 + 3 + 2/3 + 1/3 = 13 + 3/3 = 13 + 1 = 14
Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis 
; Alternative hypothesis 
.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by 
is of 0, hence:
At the alternative hypothesis, it is tested if there is a difference, hence:
More can be learned about an hypothesis test at brainly.com/question/26454209
Answer:
1. y
=
1
/2X
+5
Step-by-step explanation:
2. m=1/2
Answer:
4.2
Step-by-step explanation:
4.1553
15 -> 2
4.2
