An education board claims that the mean annual tuition at college X is equal to that at college Y. A sample of 3030 students at college X has a mean tuition of $$22500\22500 $$with a population standard deviation of $$4200\4200. A $$sample of 3636 students at college Y has a mean tuition of $$24100\24100 $$with a population standard deviation of $$4800\4800. At$$ α=0.05\alpha=0.05, is there sufficient evidence to reject the board's claim? Assume random, independent samples and normally distributed populations.

There is insufficient evidence to reject the board's claim that the mean annual tuition at college X is equal to that at college Y

There is sufficient evidence to reject the board's claim that the mean annual tuition at college X is equal to that at college Y

An education board claims that the mean annual tuition at college...

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