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crummar01
03.10.2019 •
Mathematics
Verify the identity.
cos (pi-beta) + sin (pi/2 + beta)
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Ответ:
So on this case the 99% confidence interval would be given by (-3.562;9.762)
And for this case we can conclude that we don't have a significant result since the confidence interval contains the value of 0 so we don't have enough evidence to conclude that we have a reducing effect.
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
s=17.4 represent the sample standard deviation
n=49 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
In order to calculate the critical value
we need to find first the degrees of freedom, given by:
Since the Confidence is 0.99 or 99%, the value of
and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,48)".And we see that ![t_{\alpha/2}=2.68](/tpl/images/0536/0534/37295.png)
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval would be given by (-3.562;9.762)
And for this case we can conclude that we don't have a significant result since the confidence interval contains the value of 0 so we don't have enough evidence to conclude that we have a reducing effect.