Question

the diameter of a spindle in a motor is supposed to be 40 mm with standard deviation of 0.5 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 100 motors to determine whether the mean diameter has moved away from the target and finds that average is 40.3 mm. h0 is null hypothesis, and ha is alternative hypothesis.what significance level do you choose for this test? a. level of significance

Answer 1

The appropriate level of significance for a statistical hypothesis test concerning the mean diameter of motor spindles would commonly be 0.05, although a more conservative level like 0.01 may be used depending on the importance of avoiding errors

Step-by-step explanation:

To determine the significance level for this test, we need to consider the level of risk (probability of Type I error) we are willing to accept and set our significance level accordingly. Generally, a significance level of 0.05 or 5% is commonly used. This means that we are willing to accept a 5% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true. In this case, since the significance level is not provided, we can assume a common significance level of 0.05.