(4 pts) 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. 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 4.5 millimeters (mm) with a standard deviation of 0.19 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 40 spindles to determine whether the mean diameter has moved away from the required measurement. suppose the sample has an average diameter of 4.63 mm. h0 : ha : (b) harry thinks that prices in caldwell, idaho, are higher than the rest of the country. he reads that the nationwide average price of a certain brand of laundry detergent is $23.25 with standard deviation $1.13. he takes a sample from 50 local caldwell stores and finds the average price for this same brand of detergent is $21.30. h0 : ha :