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A series of measurements on a machine part yielded the following sample statistics. The series
was normally distributed. = 9.19, s = 0.19, n = 23. For the part to fit properly in the assembled
product, the measurement should be 9.361. The standard deviation, ?, of the population is
unknown. Should the statistician use a t distribution, a normal distribution, or neither to test the
null hypothesis? (Points : 7) t distribution Neither Normal distribution
Solution
Since n=23 is less than n=25, we use t distribution to test the null hypothesis.

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A series of measurements on a machine part yielded the following sam.pdf

  • 1. A series of measurements on a machine part yielded the following sample statistics. The series was normally distributed. = 9.19, s = 0.19, n = 23. For the part to fit properly in the assembled product, the measurement should be 9.361. The standard deviation, ?, of the population is unknown. Should the statistician use a t distribution, a normal distribution, or neither to test the null hypothesis? (Points : 7) t distribution Neither Normal distribution Solution Since n=23 is less than n=25, we use t distribution to test the null hypothesis.