If I had 12 over 12 × blank = 14. How do I solve the problem
1 answer:
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Answer:
No, there is not any sufficient evidence to conclude that individuals who have experienced childhood trauma have lower self-efficacy in adulthood.
Step-by-step explanation:
We are given that a clinical psychologist wants to test whether experiencing childhood trauma reduces one's self-efficacy in adulthood.
He randomly selects 22 adults who have experienced childhood trauma and finds that their mean self-efficacy score equals 118.1.
Self-efficacy scores in the general population of adults are distributed normally with a mean equal to 118.5 and a standard deviation equal to 18.8 .
<em>Let </em><em> = mean self-efficacy score.</em>
So, Null Hypothesis, :
118.5 {means that the individuals who have experienced childhood trauma have higher or same self-efficacy in adulthood}
Alternate Hypothesis, :
< 118.5 {means that the individuals who have experienced childhood trauma have lower self-efficacy in adulthood}
The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample mean self-efficacy score = 118.1
= population standard deviation = 18.8
n = sample of adults who have experienced childhood trauma = 22
So, <u><em>test statistics</em></u> =
= -0.0998
The value of z test statistics is -0.0998.
Since, in the question we are not given with the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the z table gives critical value of -1.645 for left-tailed test.</u>
Since our test statistic is more than the critical value of z as -0.0998 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.
Therefore, we conclude that the individuals who have experienced childhood trauma have higher or same self-efficacy in adulthood.
Answer:
(6,9)
Step-by-step explanation:
Let the coordinates of C be (x,y).
For the circular cover we have:
A) The area is 379.94 ft²
B) The length of the rope must be 68.2 ft
<h3>How to get the area of the cover?</h3>Remember that the area of a circle of radius R is given by the formula:
Where pi = 3.14
In this case, the diameter of the pool is 20ft, then the radius is:
R = 20ft/2 = 10ft
And it must extend 12 inches beyond, then the radius of the cover must be:
R = 10ft + 12in
Now, we know that 1ft = 12 in, then we can rewrite the radius as:
R = 10ft +1ft = 11ft
Then the area of the cover is:
B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.
Remember that the circumference of a circle of radius R is:
Then the length of the rope will be:
If you want to learn more about circles:
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