Avideo game company surveys a random sample of 225 of its best customer and finds that the average gamer spends $606 a year on games, with a standard deviation of $62. another company is also interested in the amount game consumers spend, and surveys a random sample of 250 gamers, over all interest levels, and finds that the average gamer spends $250 a year on games, with a standard deviation of $15. why is the second survey more believable than the first?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.