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Functions, equations and tables can be represented using graphs
- The x-intercepts are: 0, 0.35 and 1.53
- The local maximum is at point (0.17, 0.08), and the local minimum is at point (1.13, -1.07)
The expression is given as:
Rewrite the expression as a function
See attachment for the graph of the function.
<h3>The x-intercepts</h3>This is the point where the graph cross the x-axis.
From the attached graph, the x-intercepts are: 0, 0.35 and 1.53
<h3>The local maximum</h3>From the attached graph, the local maximum is at point (0.17, 0.08)
<h3>The local minimum</h3>From the attached graph, the local minimum is at point (1.13, -1.07)
<h3>Intervals</h3>- The graph increases at interval (-1.30, 0) and (1,13, infinity)
- The graph decreases at interval (- infinity, 1.30) and (0.35, 1.13)
Read more about graphs and functions at:
Answer:
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.7787.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.
The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).