..ooo AT&T; 11:15 PM @(? 58%) s+ HW10 HW 10 Previous Problem List Next (1 point)

Question

..ooo AT&T; 11:15 PM @(? 58%) s+ HW10 HW 10 Previous Problem List Next (1 point) 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, mu1 for the mean is less than 1, mu not 1 for the mean is not equal to 1, mu >= 1 for the mean is greater than or equal to 1 Please do not include units such as "mm" or "$" in your answer.) (a) The manufacturer claims the diameter of a spindle in a small motor is supposed to be 3.2 millimeters (mm) with a standard deviation of 0.14 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 14 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 3.34 mm. Courses Calendar To Do Notifications Messages

Explanation / Answer

Solution :

    We have to state H0 and Ha for the following :

Part a) The manufacturer claims the diameter of a spindle in a small motor is supposed to be 3.2 mm with a standard deviation of 0.14 mm.

Determine whether the mean diameter has moved away from the required measurement

Thus this is non-directional and two tailed test :

hence H0 and Ha are:

H0: mu = 3.2

Ha: mu not = 3.2

Part 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 $17.65 .

Thus this is directional and right tailed test.

Thus H0 and Ha are:

H0 : mu = 17.65

Ha : mu > 17.65

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