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The two intervals (114.8, 115.4) and (114.5, 115.7) 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? (Hint: Where is the confidence interval centered?)(b) Both intervals were calculated from the same sample data. The confidence level for one interval is 90%; the confidence level for the other interval is 99%. Which interval is the 90% confidence level, and why?

Respuesta :

Answer:

115.1,90% is (114.8, 115.4) and 99% is (114.5, 115.7)

Step-by-step explanation:

Given that the two intervals (114.8, 115.4) and (114.5, 115.7) 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) The mean of  the sample mean resonance frequency

= the mid value of any one of the confidence interval

= [tex]\frac{114.8+115.4}{2} \\=115.1[/tex]

b) Since both intervals were calculated from the same sample data, we can say that the narrower interval is for 90% and the wider interval is for 99%

Hence 90% is (114.8, 115.4) and 99% is (114.5, 115.7)

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