A student reads that a re - cent poll finds that a 95% confidence interval for the mean ideal weight given by adult American women is 139 (plus or minus) 1.4 pounds. Asked to explain the meaning of this interval, the student says, "95% of all adult American women would say that their ideal weight is between 137.6 and 140.4 pounds." Is the student right? Explain your answer

Question

Sawyer

Mathematics

14 June, 21:41

A student reads that a re - cent poll finds that a 95% confidence interval for the mean ideal weight given by adult American women is 139 (plus or minus) 1.4 pounds. Asked to explain the meaning of this interval, the student says, "95% of all adult American women would say that their ideal weight is between 137.6 and 140.4 pounds." Is the student right? Explain your answer

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Answers (1)

Know the Answer?

Bruno Andrade · Answer 1

Yes, the student is right

Step-by-step explanation:

95% confidence interval for the mean ideal weight given by adult American women is 139 ( + or - ) 1.4 pounds

Mean = 139 pounds

Error margin = 1.4 pounds

Lower limit = 139 - 1.4 = 137.6

Upper limit = 139 + 1.4 = 140.4

The ideal weight is between 137.6 and 140.4 pounds