09.01.2022

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

. 0

Step-by-step answer

30.05.2023, solved by verified expert
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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:

For population parameter μ = true average resonance, №16479588, 09.01.2022 11:34

For population parameter μ = true average resonance, №16479588, 09.01.2022 11:34 = 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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Mathematics
Step-by-step answer
P Answered by Specialist

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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Step-by-step answer
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