During the winter months, the temperatures at the Starneses' Colorado cabin can stay well below freezing 32°F or 0°C) for weeks at a time. To prevent the pipes from freezing, Mrs. Starnes sets the thermostat at 50°F. The manufacturer claims that the thermostat allows variation in home temperature of o = 3°F Mrs. Starnes suspects that the manufacturer is overstating the consistency of the thermostat.

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During the winter months, the temperatures at the Starneses' Colorado cabin can stay well below freezing 32°F or 0°C) for
weeks at a time. To prevent the pipes from freezing, Mrs. Starnes sets the thermostat at 50°F. The manufacturer claims
that the thermostat allows variation in home temperature of o = 3°F Mrs. Starnes suspects that the manufacturer is
overstating the consistency of the thermostat.
What are the appropriate hypotheses for performing this significance test?
Ho: o = 3, H, o 3, where o = the true standard deviation of the temperature in the cabin.
Ho : o = 3, H, o> 3, where o = the true standard deviation of the temperature in the cabin.
Ha: o < 3;H, o>3, where o = the true standard deviation of the temperature in the cabin.
Ho: o = 3; H,: o<3, where o = the true standard deviation of the temperature in the cabin
He: o < 3,H,: o2 3, where o = the true standard deviation of the temperature in the cabin.
O O
O O O
Transcribed Image Text:During the winter months, the temperatures at the Starneses' Colorado cabin can stay well below freezing 32°F or 0°C) for weeks at a time. To prevent the pipes from freezing, Mrs. Starnes sets the thermostat at 50°F. The manufacturer claims that the thermostat allows variation in home temperature of o = 3°F Mrs. Starnes suspects that the manufacturer is overstating the consistency of the thermostat. What are the appropriate hypotheses for performing this significance test? Ho: o = 3, H, o 3, where o = the true standard deviation of the temperature in the cabin. Ho : o = 3, H, o> 3, where o = the true standard deviation of the temperature in the cabin. Ha: o < 3;H, o>3, where o = the true standard deviation of the temperature in the cabin. Ho: o = 3; H,: o<3, where o = the true standard deviation of the temperature in the cabin He: o < 3,H,: o2 3, where o = the true standard deviation of the temperature in the cabin. O O O O O
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