Probability of higher average based on past average and SD

Draegon

New member
Joined
May 4, 2020
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2
Sorry for the awkward title.

I have a statistics word problem which is driving me nuts. I've swapped the values and nouns.
It is:
"A Tyrannosaur eats an average of 1230 steaks per week, with a standard deviation of 156. He will get a prize if, over a four-week period, the average number he eats per week is more than 1300. What is the probability that he will get a prize next month?"

I've been working on this for hours, but I can't even figure out what method or type of formula I need for this. Is this technically a forecasting problem? Standard distribution? Cumulative probability? Am I over-thinking it entirely?
Any assistance would be much appreciated. Thank you.
 
Sorry for the awkward title.

I have a statistics word problem which is driving me nuts. I've swapped the values and nouns.
It is:
"A Tyrannosaur eats an average of 1230 steaks per week, with a standard deviation of 156. He will get a prize if, over a four-week period, the average number he eats per week is more than 1300. What is the probability that he will get a prize next month?"

I've been working on this for hours, but I can't even figure out what method or type of formula I need for this. Is this technically a forecasting problem? Standard distribution? Cumulative probability? Am I over-thinking it entirely?
Any assistance would be much appreciated. Thank you.
Have you thought of z-transformation?
 
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