Question

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(1 point) For each situation, state the null and alternative hypotheses: (Type "mu" for the symbolu, 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 3.5 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 18 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 3.61 mm. HO: H: (b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $22.95 with standard deviation $2.15. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $25.59. HO: H:
1

2

3

Answer 1

a)

Ho :   µ = 3.5
Ha :   µ ╪ 3.5

b)

Ho :   µ = 22.95
Ha :   µ < 22.95

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a)

B. H: = 4.55, H: 4.55

b)

E. H, u = 115, H.: < 115

c)

E. HO :με 69, H, :μ> 69

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a)

Ho :   µ = 5.9
Ha :   µ ╪ 5.9

b)

Ho :   µ = 21.35
Ha :   µ > 21.35

Please let me know in case of any doubt.

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