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Andru [333]
3 years ago
12

The two intervals (114.9, 115.7) and (114.6, 116.0) are confidence intervals (computed using the same sample data) for μ = true

average resonance frequency (in hertz) for all tennis rackets of a certain type. (a) What is the value of the sample mean resonance frequency?
Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer:

115.3 hertz

Step-by-step explanation:

For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.

For the first interval:

M=\frac{114.9 + 115.7}{2} \\M=115.3\ hertz

For the second interval:

M=\frac{114.6 + 116.0}{2} \\M=115.3\ hertz

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