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Probability of sample mean and range

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In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.5 hrs per week playing organized sports. The population's standard deviation is 2.2 hrs per week. Based on a sample of 121 students, healthy lifestyles Inc. (HLI) would like to apply the central limit theorem to make various estimates.

A.) Calculate the probability that the sample mean will be between 5.3 and 5.7 hrs
B.) How strange would it be to obtain a sample mean greater than 6.5 hrs?

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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