The length X mm of a spring made by a machine is normally distributed. A random sample of 24 springs is selected and their lengths measured in mm. Using this sample, the unbiased estimates of mean and variance are =100.3 and s² =1.2 . Stating your hypotheses clearly, test at the 5% level of significance, whether or not the mean length of the springs is greater than 100 mm.

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The length X mm of a spring made by a machine is normally distributed. A random sample of 24 springs is selected
and their lengths measured in mm. Using this sample, the unbiased estimates of mean and variance are =100.3
and s2 =1.2. Stating your hypotheses clearly, test at the 5% level of significance, whether or not the mean length of
the springs is greater than 100 mm.
Transcribed Image Text:The length X mm of a spring made by a machine is normally distributed. A random sample of 24 springs is selected and their lengths measured in mm. Using this sample, the unbiased estimates of mean and variance are =100.3 and s2 =1.2. Stating your hypotheses clearly, test at the 5% level of significance, whether or not the mean length of the springs is greater than 100 mm.
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