The owner of a fitness center wants to compare the time his customers spend on each visit to his center during working hours and the time they spend on each visit outside of working hours. He conducted a survey on his customers. The following table records the summary of his findings.

a. Determine if the customers spent less than 2 hours per visit during working hours at a 5% significance level.

b. Determine if the customers spent more than 2.5 hours per visit outside of working hours at a 5% significance level.

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Time Period During working hours Outside working hours Sample size (number of customer) 100 150 Mean time spent (in hours) 1.97 3.05 Standard deviation 20.65 6.02