The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in
the table.
The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
1 answer:
You might be interested in
Answer:
-
Step-by-step explanation:
-pi/2
Answer:
We reject the null hypothesis and conclude that at least 2 proportions differ from the stated value.
Step-by-step explanation:
There are 3 types of gas listed in the question.
Thus;
n = 3
DF = n - 1
DF = 3 - 1
DF = 2
Let's state the hypotheses;
Null hypothesis; H0: P_regular = P_super unleaded = 20%; P_i leaded = 60%
Alternative hypothesis; Ha: At least 2 proportions differ from the stated value.
Observed values are;
Regular gas; O = 51
Unleaded gas; O = 261
Super Unleaded; O = 88
Total observed values = 51 + 261 + 88 = 400
We are told that super unleaded and regular were each selected 20% of the time and that unleaded gas was chosen 60% of the time.
Thus, expected values are;
Regular gas; E = 20% × 400 = 80
Unleaded gas; E = 60% × 400 = 240
Super Unleaded; E = 20% × 400 = 80
Formula for chi Square goodness of fit is;
X² = Σ[(O - E)²/E]
X² = (51 - 80)²/80) + (261 - 240)²/240) + (88 - 80)²/80)
X² = 13.15
From the chi Square distribution table attached and using; DF = 2 and X² = 13.15, we can trace the p-value to be approximately 0.001
Also from online p-value from chi Square calculator attached, we have p to be approximately 0.001 which is similar to what we got from the table.
Now, if we take the significance level to be 0.05, it means the p-value is less than it and thus we reject the null hypothesis and conclude that at least 2 proportions differ from the stated value.
