Answer:
t= 0.4933
t ≥ t ( 0.025 ,8 ) = 2.306
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: ud= 0 Ha: ud≠0
The significance level is set at ∝= 0.05
The test statistic under H0 is
t= d`/ sd/√n
which has t distribution with n-1 degrees of freedom
The critical region is t ≥ t ( 0.025 ,8 ) = 2.306
Computations
Student Scores before Scores after Difference d²
reading book ( after minus before)
1 720 740 20 400
2 860 860 0 0
3 850 840 -10 100
4 880 920 40 1600
5 860 890 30 900
6 710 720 10 100
7 850 840 -10 100
8 1200 1240 40 1600
<u>9 950 970 20 40</u>
<u>∑ 6930 8020 140 4840</u>
d`= ∑d/n= 140/9= 15.566
sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775
sd= 18.2422
t= 3/ 18.2422/ √9
t= 0.4933
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
Answer:
1-1/6-2
Step-by-step explanation:
Answer:
Opposite angles of a cyclic quadrilateral add to 180°
Angel CBA and angle ADC adds up to 180°.
CBA + ADC = 180
CBA = 180 - ADC
x + CBA = 180
x + 180 - ADC = 180
x - ADC = 0
x = ADC
y + ADC = 180
y + x = 180
Secants:
<CBG
<AGF
<ABD
Tangent:
<CDE
Chords:
<BD
<DF
<BG
<BF
<GD
<FG
I haven't figured out the nineteen angles, i would love heIp as well with them.
Answer:
52 degrees
Step-by-step explanation:
Really easy, i learned it this summer
1. 180-128=52
2. 3=52 cus alternate interior angles
