(WILL MARK BRAINILEST) Consider the two functions shown here. Which function grows faster for large positive values of x? [Note:
Function 1 is shown in the graph.]
A) Function 1, because it has larger x values than function 2.
B) Function 1, because the y-value for x = 1 is greater in function 1.
C) Function 2, because all the range values of the function are positive.
D) Function 2, because the y-values increase faster than the y-values in function 1.
A) Function 1, because it has larger x values than function 2.
B) Function 1, because the y-value for x = 1 is greater in function 1.
C) Function 2, because all the range values of the function are positive.
D) Function 2, because the y-values increase faster than the y-values in function 1.
2 answers:
D) Function 2, because the y-values increase faster than the y-values in function 1.
Step-by-step explanation:
The graph of function 1 is that of a linear function.
Finding the slope of the line,
Taking points (0,5) and (1,9) on the graph
m₁=rise/run
rise=Δy = 9-5 =4
run =Δx =1-0 =1
m₁ = 4/1 =4
This function increase at a constant rate
In the second function containing the table, plot the table values to see the behavior of the function. It is noticed that the slope in increasing . This means the function grows faster for large positive values of x as attached;
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Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
c)
d) 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 higher than 15 at 1% of signficance.
Step-by-step explanation:
Data given and notation
The sample mean is given by:
And the sample deviation is:
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.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
Part a State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is less or equal than 15, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviation, 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".
Part b Calculate the statistic
We can replace in formula (1) the info given like this:
Part c P-value
The degrees of freedom are given by:
Since is a right tailed test the p value would be:
Part d 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 higher than 15 at 1% of signficance.