Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
Answer:
C. obtaining an even number when rolling a die
Step-by-step explanation:
Two events are independent when neither depends on the other. That is, the probability that one occurs is not affected by the occurrence, or lack of occurrence, of the other event. Their joint probability is the product of their individual probabilities.
__
Among the answer choices, all describe two independent events except C. Choice C describes one (1) event, so does NOT illustrate independent events.
Answer:
G
Step-by-step explanation:
I hope this helps, have a great day:) God bless you!
Answer:
18.42 m
Step-by-step explanation:
At that point, the ball will be static, with final velocity of 0.
The initial velocity is 19.
The acceleration due to gravity is -9.8 m/s^2.
We now have to use an equation of kinematics shown below:

Where
is the final velocity
is the initial velocity
a is -9.8
s is the distance we are looking for
Lets substitute and find the answer:

Answer:
Standard Form: x^2 + 10x + 24
Step-by-step explanation:
In order to solve this, you would have to find the area of ALL of the shapes provided:
Blue Shape: The area is x^2 (X squared)
Green Shape: Area is 6x
Purple Shape: Area is 4x
Orange Shape: 24
The make the area of the whole shape
Top would be x^2 + 6x
While side would be 4x + 24
Now you can find the area!
x^2 + 6x +4x + 24
x^2 + 10x +24