The mean percentage of a population of people eating out at least once a week is 57%, with a standard deviation of 3.5%. Assume that a sample size of 40 people was surveyed from the population an infinite number of times. In which interval will 95% of the sample means occur?

a.55.89%058.11%

b.56.45%057.55%

c.56.54%057.46%

d.56.07%057.93%

e.55.34%058.68%