Can you answer these question ........................HEY...............
1 answer:
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Answer:
and
The null hypothesis is not rejected
Step-by-step explanation:
Given
Random sample of 50 commuter times
Solving (a): The null and alternate hypothesis
From the question, a previous census shows that:
and
This is the null hypothesis i.e.
Reading further, a new test was to show whether the average has decreased.
This is the alternate hypothesis, and it is represented as:
Solving (b) and (c): The test statistic (T).
This is calculated using:
In this case:
and
So:
Solving (c): Accept or reject null hypothesis
First calculate the degrees of freedom (df)
From the t distribution table,
At: ,
and
the t score is:
<em>So, the null hypothesis is not rejected</em>
Answer:
A, B, and C
Step-by-step explanation:
A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = . Thus, this is a horizontal line and the statement is correct.
B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.
Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.
C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = = undefined. So, this is a vertical line and the statement is true.
D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.
So, the answers are A, B, and C.
Hope this helps!