Question:

In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.80 hours per week playing organized sports. The population's standard deviation is 2.80 hours per week.

Based on a sample of 100 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates.

Calculate the probability that the sample mean will be between 5.5 and 6.1 hours. (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.)