A lumber company is making boards that are 2578.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 20 boards is made, and it is found that they have a mean of 2580.2 millimeters with a variance of 64.00. Is there evidence at the 0.1 level that the boards are either too long or too short? 1. State the hypotheses.
2. Find the value of the t test statistic.
3. Specify if the test is one-tailed or two-tailed.
4. Determine the decision rule.
5. Determine the conclusion.
A) Reject Null Hypothesis
B) Fail to Reject Null Hypothesis

-0.750

Step-by-step explanation:

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step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: