A MAchine used for producing quarter inch rivets is to be ch

A MAchine used for producing \"quarter inch\" rivets is to be checked by taking a random smaple of 10 rivets and measuring their diameters. It is feared that eh wear-off factor of the machine will cause it to produce rivets with diameters less than 1/4 in. Describe the critical region in terms of x, the average of the 10 diameters, for a test at level of significane of 1% of

H₀: = 0.25 versus H₁: = ₁ < 0.25,

it can be assumed that the diameters are distributed as N(, (0.0015)²) for a wide range of values of . What is the power of the test at = 0.2490? Graph the power curve test.

Solution