Example 4: Brandon runs a local gym and was interested in determining how many hours per week on average his members spend working out. He randomly sampled 72 of his members and found that they spent an average of 11.4 hours per week working out. Assume it is known that the true standard deviation is 3.6 hours. a) A national study was conducted that found that individuals who have a gym membership work out an average of 13 hours per week. Carry out an appropriate hypothesis test at the a = 0.05 level to determine if Brandon's members work out less than the national average.

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Example 4: Brandon runs a local gym and was interested in determining how many hours per
week on average his members spend working out. He randomly sampled 72 of his members and
found that they spent an average of 11.4 hours per week working out. Assume it is known that
the true standard deviation is 3.6 hours.
a) A national study was conducted that found that individuals who have a gym membership
work out an average of 13 hours per week. Carry out an appropriate hypothesis test at
the a = 0.05 level to determine if Brandon's members work out less than the national
average.
Transcribed Image Text:Example 4: Brandon runs a local gym and was interested in determining how many hours per week on average his members spend working out. He randomly sampled 72 of his members and found that they spent an average of 11.4 hours per week working out. Assume it is known that the true standard deviation is 3.6 hours. a) A national study was conducted that found that individuals who have a gym membership work out an average of 13 hours per week. Carry out an appropriate hypothesis test at the a = 0.05 level to determine if Brandon's members work out less than the national average.
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