For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol u, 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. Piease 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 6.5 millimeters (mm) with a standard deviation of 0.18 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 6..39 mm, Ho : H: (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 $22.35 with standard deviation $1.27. He takes a sample from 4 local Caldwell stores and finds the average price for this same brand of detergent is $21.32. Ho: H.: