A data set includes 106 body temperatures of healthy adult humans having a mean of 98.9 degrees F and a standard deviation of 0.
1 answer:
Answer:
Step-by-step explanation:
Sample mean x bar = 98.9
Std dev s = 0.62
Sample size n = 106
Std error =
Since population std deviation not known we can use t critical value.
t critical for 99% with df = 105 is 1.98
Margin of error = ±1.98(0.0602) =±0.1192
Confidence interval for sample mean = (98.9±0.1192)
=(98.781, 99.019)
2) Sample mean confidence interval suggests that sample mean is different from the population since 98.6 is not contained in the confidence interval.
3) Population interval confidence mean would be
98.6±0.1192
=(98.4808, 98.7192)
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Answer:
While determining the angle with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other.
Step-by-step explanation:
See the diagram attached.
Let us assume a right triangle Δ ABC with ∠ B = 90°. Now, assume that the angle ∠ CAB = and the sides AB, BC, CA are 3, 4, 5 units respectively.
The tangent ratio of an angle is given by
Again, the cotangent ratio of angle is given by
Therefore, in both the cases of tangent ratio and cotangent ratio are inverse of each other and while determining the angle with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other. (Answer)
