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In a sample of 1000 Yuba College students, it was found that they consumed on average...

In a sample of 1000 Yuba College students, it was found that they consumed on average 23 grams of sugar with a standard deviation of 4 grams and that 230 planned to transfer to Chico State.


a) (7 points) Can we conclude with 99% confidence that Yuba College students consume on average over 20 grams of sugar? Use the rejection region approach.
  
b) Can we conclude with 99% confidence that under 25% of Yuba College students plan to transfer to Chico State? Use the p-value approach.

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