Question

Dyanna is the quality control manager of a candy producing factory. She has measured the weight of 25 boxes of candies. The average of the weights of these 25 boxes is 250, and the standard deviation of them is 12. She is going to provide a label for the weights of boxes with 95% confidence. What is the range of the weightsthat she should report?

Answer 1

Ans.=

Given,

No.of boxes(n) = 25

Mean = 250

Standard Deviation(s.d.) = 12

Value of Z at 95% confidence interval(Z) = 1.960

So,

95% confidence interval = Mean + Z *(s.d. / )

= 250 + 1.960 * (12 / )

= 250 + 1.960 * (12 / 5)

= 250 + 4.704

Therefore,

Range of Weights or True Mean = From 245.296 (250-4.704) to 254.704 (250+4.704)

=> I would be glad to receive a feedback or suggestion to the question answered above.

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