For 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 5.4 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 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.35 mm. ?0H0 : ??Ha : (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 $18.75 with standard deviation $1.10. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $16.26. ?0H0 : ??Ha :
For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.)
(a) The diameter of a spindle in a small motor is supposed to be 5.4 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 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.35 mm.
?0H0 :
??Ha :
(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 $18.75 with standard deviation $1.10. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $16.26.
?0H0 :
??Ha :
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