(a) The diameter of a spindle in a small motor is supposed to be 5.6 millimeters (mm) with a standard deviation of 0.18 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 17 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.48 mm. Ho: Ha (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 $16.15 with standard deviation $2.36. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $13.28. Ho ⠀⠀ Ha

MATLAB: An Introduction with Applications
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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.)
(a) The diameter of a spindle in a small motor is supposed to be 5.6 millimeters (mm) with a standard deviation of 0.18 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 17 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average
diameter of 5.48 mm.
Ho
H₂
(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 $16.15 with standard deviation $2.36. He
takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $13.28.
4
Ho
Ha
EES
Transcribed Image Text:For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μ, e.g. mu> 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.) (a) The diameter of a spindle in a small motor is supposed to be 5.6 millimeters (mm) with a standard deviation of 0.18 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 17 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.48 mm. Ho H₂ (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 $16.15 with standard deviation $2.36. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $13.28. 4 Ho Ha EES
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