Assuming a Normal model applies,a town's average annual snowfall (in cm)is modeled by N(42,8).Draw and label the Normal model.Then find the interval for the middle 95% of snowfall.
A) ;18 to 50
B) ;34 to 50
C) ;26 to 58
D) ;34 to 66
E) ;18 to 66

Question

Assuming a Normal model applies,a town's average annual snowfall (in cm)is modeled by N(42,8).Draw and label the Normal model.Then find the interval for the middle 95% of snowfall.
A) ;18 to 50 
B) ;34 to 50 
C) ;26 to 58 
D) ;34 to 66 
E) ;18 to 66

Quizplus · Accepted Answer

The Normal model can be drawn as follows:

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Using the empirical rule, we know that approximately 95% of the snowfall values will fall within 2 standard deviations of the mean. Therefore, we can calculate the interval as follows:

Lower bound = 42 - 2(8) = 26
Upper bound = 42 + 2(8) = 58

Thus, the interval for the middle 95% of snowfall is 26 to 58. Therefore, the best choice is C.

Assuming a Normal Model Applies,a Town's Average Annual Snowfall (In