For each situation, state the null and alternative hypotheses: (Type 'mu' for the symbol , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu != 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 11 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 6.44 mm. Ho: Ha : (b) Alex thinks that prices in Springfield are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $21.15 with standard deviation. $1.09. He takes a sample from 4 local Springfield stores and find the average price for this same brand of detergent is $20.35. Ho Ha