Pls help me with my math
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Answer:
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5
The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5
The 95% confidence interval for the population mean is between 61.5 and 68.5.
The question and data provided in the information is that (<J ≈ <K) are congruent to each other. Then (<J + <L = 180°) here supplementary means that there sum tends to 180°. And we have also provided the value of <K = 71°.
Now as per question we can write that,
Now substituting values,
- The value of <L = 109°