Question

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

Answer 1

Yes, the student is right

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