A home building company routinely orders standard interior doors with a height of 80 inches. Recently the installers have compla
1 answer:
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Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is different from 634, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a two sided test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.
Answer:
The answer is the option C
graph of minus
, with discontinuity at negative
, negative
Step-by-step explanation:
we have
Simplify
Step 1
Convert to a factored form the numerator
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
so
Step 2
Simplify the function f(x)
The domain of the function f(x) is all real numbers except the number
Because the denominator can not be zero
------> with a discontinuity at
The discontinuity is at point
the answer in the attached figure
Answer:
First, we need to know how to calculate the area and the permiter of a rectangle.
To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.
Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:
Now we solve the equation:
As the negative result doesn't have sense, we only pick the second one: 1.
If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches