A medical researcher measured the pulse rates (beats per minute) of a sample of randomly selected adults and found the following Student's t-based confidence interval: With % Confidence, (Pulse) a) Explain carefully what the software output means. b) What's the margin of error for this interval? c) If the researcher had calculated a % confidence interval, would the margin of error be larger or smaller?

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03-12-2021
SAT

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A medical researcher measured the pulse rates (beats per minute) of a sample of randomly selected adults and found the following Student's t-based confidence interval: With % Confidence, (Pulse) a) Explain carefully what the software output means. b) What's the margin of error for this interval? c) If the researcher had calculated a % confidence interval, would the margin of error be larger or smaller?

Sagot :

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topeadeniran2 topeadeniran2 · Answer 1 · 2021-12-06T09:20:10-05:00

The software output implies that the researcher is 95 percent confident that the interval given regarding the beats per minute contains the true mean heart of the adults.

From the complete information, the margin of error will be calculated as:

= (Upper limit - Lower limit) / 2

where,

Upper limit = 73.325706

Lower limit = 68.509306

= (73.325706 - 68.509306) / 2

= 4.8164 / 2

= 2.4082

Also, it should be noted that in a situation where there is an increase in the confidence interval, this will lead to an increase in the margin of error.

Sagot :

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