For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μμ ,...

For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μμ , 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 3 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 9 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 3.12 mm.
H0H0 :
HaHa :

(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 $25.05 with standard deviation $0.72. He takes a sample from 4 local Caldwell stores and finds the average price for this same brand of detergent is $23.10.
H0H0 :
HaHa :

Expert Solution

a. Here the population mean diameter of a spindle in a small motor is supposed to be 3 mm. So here we want to test whether is equal to 3 mm or different from this .

So our Hypotheses are

Ho : vs Ha :

b. Let be the population mean prices in Caldwell . Harry wants to test whether is higher than the price of the rest of the country which is $25.05

So our Hypotheses are

Ho : vs Ha :

orchestra answered 2 years ago

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