or each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.) (a) The diameter of a spindle in a small motor is supposed to be 4.2 millimeters (mm) with a standard deviation of 0.12 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 19 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.3 mm. ?0 : ?? : (b) Harry thinks that prices in Caldwell are higher than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $20.75 with a standard deviation of $2.27. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $19.50. ?0 :
For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >> 1 for the
(a) The diameter of a spindle in a small motor is supposed to be 4.2 millimeters (mm) with a standard deviation of 0.12 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 19 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.3 mm.
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(b) Harry thinks that prices in Caldwell are higher than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $20.75 with a standard deviation of $2.27. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $19.50.
?0 :
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