For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μμ , 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 6.3 millimeters (mm) with a standard deviation of 0.2 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 14 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 6.25 mm. H0H0 : HaHa : (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 $22.15 with standard deviation $1.94. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $22.87. H0H0 : HaHa
For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.)
(a) The diameter of a spindle in a small motor is supposed to be 6.3 millimeters (mm) with a standard deviation of 0.2 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 14 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 6.25 mm.
H0H0 :
HaHa :
(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 $22.15 with standard deviation $1.94. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $22.87.
H0H0 :
HaHa :
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