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MrMuchimi
3 years ago
5

For population parameter μ = true average resonance frequency for all tennis rackets of a certain type, each of these is a confi

dence interval. (114.4, 115.6) and (114.1, 115.9) What is the value of the sample mean resonance frequency?
a. 114.5
b. 115.8
c. 114.1
d. 115.0
Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

X[bar]= 115

Step-by-step explanation:

Hello!

Every Confidence interval to estimate the population mean are constructed following the structure:

"Estimator" ± margin of error"

Wich means that the intervals are centered around the sample mean. To know the value of the sample mean you have to make the following calculation:

X[bar]= \frac{Upper bond + Low bond}{2}

X[bar]= \frac{115.6+114.4}{2} = 115

Since both intervals were calculated with the information of the same sample, you can choose either to calculate the sample mean.

I hope it helps!

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