The two intervals (114.9, 115.3) and (114.6, 115.6) are confidence intervals (calculated 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 (in hertz) of the sample mean resonance frequency? (Hint: Where is the confidence interval centered?) hertz (b) The confidence level for one of these intervals is 90% and for the other it is 99%. Which one has a confidence level of 99%? O (114.9, 115.3) O (114.6, 115.6) O It is impossible to tell which is which. How can you tell? O The 99% confidence interval should be wider than the 90% confidence interval. O The center of the 99% confidence interval should be less than the center of the 90% confidence interval. O The center of the 99 % confidence interval should be greater than the center of the 90% confidence interval. O The 99% confidence interval should be narrower than the 90% confidence interval. O It is impossible to tell which is which.

MATLAB: An Introduction with Applications
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The two intervals (114.9, 115.3) and (114.6, 115.6) are confidence intervals (calculated 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 (in hertz) of the sample mean resonance frequency? (Hint: Where is the confidence interval centered?)
hertz
(b) The confidence level for one of these intervals is 90% and for the other it is 99%. Which one has a confidence level of 99%?
O (114.9, 115.3)
O (114.6, 115.6)
O It is impossible to tell which is which.
How can you tell?
O The 99% confidence interval should be wider than the 90% confidence interval.
The center of the 99% confidence interval should be less than the center of the 90% confidence interval.
O The center of the 99% confidence interval should be greater than the center of the 90% confidence interval.
O The 99% confidence interval should be narrower than the 90% confidence interval.
O It is impossible to tell which is which.
Transcribed Image Text:The two intervals (114.9, 115.3) and (114.6, 115.6) are confidence intervals (calculated 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 (in hertz) of the sample mean resonance frequency? (Hint: Where is the confidence interval centered?) hertz (b) The confidence level for one of these intervals is 90% and for the other it is 99%. Which one has a confidence level of 99%? O (114.9, 115.3) O (114.6, 115.6) O It is impossible to tell which is which. How can you tell? O The 99% confidence interval should be wider than the 90% confidence interval. The center of the 99% confidence interval should be less than the center of the 90% confidence interval. O The center of the 99% confidence interval should be greater than the center of the 90% confidence interval. O The 99% confidence interval should be narrower than the 90% confidence interval. O It is impossible to tell which is which.
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