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:
I guess dan because people who named dan usually eat more than others
Answer:
After 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.
Step-by-step explanation:
Given that Cam and Madison were investing money into two different accounts, both investing $ 550 each, and Cam invested into an account at an annual interest rate of 2.7% compounded monthly while
Madison invested into an account that had an annual interest rate of 3% compounded quarterly, to determine the balances of both accounts after 5 years, the following calculations must be performed:
Cam
X = 550 (1 + 0.027 / 12) ^ 5x12
X = 550 (1 + 0.027 / 12) ^ 60
X = 616.04
Madison
X = 550 (1 + 0.03 / 3) ^ 5x3
X = 550 (1 + 0.03 / 3) ^ 15
X = 638.53
Thus, after 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are 
and 
Plug in the given points (4, -6) and (0, 2):
Therefore, the slope of the line is -2. Plug this into :
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into :
I hope this helps!
