Suppose you are conducting a survey about the amount grocery store baggers are tipped for helping customers to their cars. For a similar simulated population with 50 respondents, the population mean is $1.73 and the standard deviation is $0.657. Using the central limit theorem, what are the intervals for the data? Round your answers to the nearest hundredth.

About 68% of the sample means fall within the interval $ (blank) and $ (blank).

About 99.7% of the sample means fall within the interval $ (blank) and $(blank) .

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?