Question 1112361: For each situation, state the null and alternative hypotheses.
(a) The manufacturer claims the diameter of a spindle in a small motor is supposed to be 4.7 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.79 mm.
H0 :
Ha :
(b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $17.05 with standard deviation $0.52. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $19.38.
H0 :
Ha :
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For each situation, state the null and alternative hypotheses.
(a) The manufacturer claims the diameter of a spindle in a small motor is supposed to be 4.7 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.79 mm.
H0 : u = 4.7
Ha : u # 4.7
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(b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $17.05 with standard deviation $0.52. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $19.38.
H0 : u >= 17.05
Ha : u < 17.05
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Cheers,
Stan H.
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