Answer:
d = 308ft
Therefore, the car travelled 308ft in 3sec
Step-by-step explanation:
Given;
Speed v = 70miles/hour
converting the speed to ft/sec. We have
v = 70miles/hour × 5280ft/mile × 1/3600sec/hour
v = 102.67ft/sec
Time = 3 sec
To determine the distance travelled in 3sec
distance = speed × time
d = 102.67 × 3
d = 308ft
Therefore, the car travelled 308ft in 3sec
Answer:
Step-by-step explanation:
The graph is skewed to the right.
Answer:
H0 : correlation is equal to 0
H1 : correlation is not equal to 0 ;
Pvalue < α ;
There is sufficient evidence
r = 0.945 ;
Pvalue = 0.01524
Step-by-step explanation:
Given the data :
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9
Using technology :
The regression equation obtained is :
y = 16.3363-0.002455X
Where, slope = - 0.002455 ; Intercept = 16.3363
The Correlation Coefficient, r = 0.945
H0 : correlation is equal to 0
H1 : correlation is not equal to 0 ;
The test statistic, T:
T = r / √(1 - r²) / (n - 2)
n = 5 ;
T = 0.945 / √(1 - 0.945²) / (5 - 2)
T = 0.945 / 0.1888341
T = 5.00439
The Pvalue = 0.01524
Since Pvalue < α ; Reject the Null and conclude that there is sufficient evidence to support the claim.
Answer:
Step-by-step explanation:
Given
Required
Determine the test statistic
Let the dataset of stick be A and Liquid be B.
We start by calculating the mean of each dataset;
n, in both datasets in 6
For A
For B
Next, calculate the sample standard deviation
This is calculated using:
For A
For B
Calculate the pooled variance
Lastly, calculate the test statistic using:
We set
So, we have:
The equation becomes
<em>The test statistic is 31.29</em>