Q(-5, -1), R(3, 7), S(4.-2)
1 answer:
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Step 1: Find the standard error (SE)
The standard error is given by
In this case,
Therefore,
Step 2: Find the alpha level (α)
Step 3: Find the critical probability (P*)
Therefore,
Step 4: Find the critical value (CV)
The critical value the z-score having a cumulative probability equal to the critical probability (P*).
Using the cumulative z-score table we will find the z-score with value of 0.995
Hence,
Step 5: Find the margin of error (ME)
Therefore,
Step 6: Find the confidence interval (CI)
Therefore,
Hence there is a 99% probability that the true mean will lie in the confidence interval
(16.8725, 17.3275)