Question

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.) What do H0 and Ha equal?

(a) The diameter of a spindle in a small motor is supposed to be 5.2 millimeters (mm) with a standard deviation of 0.1 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 42 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.34 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 $24.05 with standard deviation $0.90. He takes a sample from 44 local Caldwell stores and finds the average price for this same brand of detergent is $24.62. H0 : Ha :

Answer 1