A large national survey of American dietary habits showed a mean calorie consumption of 2700 kcal...

A large national survey of American dietary habits showed a mean calorie consumption of 2700 kcal and a standard deviation of 450 kcal among teenage boys. You are studying dietary habits of children in your county to see if they differ from the national norm. (a) In a sample of 36 teenage boys, you find a mean consumption of 2620 kcal. At  = 0.05, is this significant evidence that the mean in your county differs from the national mean? Assume that the standard deviation observed nationally can be used for  . (b) Using =0.05 and sample of size 36, what is the probability that you will actually be able to detect a situation where your county has a mean of only 2600 kcal? (That is, what is the power if =2600?)

REFER TO THE INFORMATION ABOVE:

A) Give a 95% confidence interval for the mean consumption among teenage boys in your country.

B) The confidence interval in (b) has a wide margin of error. What sample size would you suggest if you wanted a margin of error of only 75 kcal?

Solutions

Expert Solution

(a)

Conclusion: There is significant evidence that the mean in your county differs from the national mean.

(b)

-------------------

(A)

(B)

orchestra answered 1 year ago

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