Question

(1 point) 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. 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 6.4 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 16 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 6.3 mm. H: H: (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 $19.05 with standard deviation $1.18. He takes a sample from 4 local Caldwell stores and finds the average price for this same brand of detergent is $16.56. H: H:

Answer 1

(a) The null and alternative hypotheses:

H0: mu = 6.4

Ha: mu not = 6.4

(b) The null and alternative hypotheses:

H0: mu = 19.05

Ha: mu > 19.05