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The mean length of a candy bar is supposed to be 43 millimeters. There is concern...

The mean length of a candy bar is supposed to be 43 millimeters. There is concern that the settings of the machine cutting the bars have changed. Test the claim at the .02 level that there has been no change in mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were selected at random and their lengths in millimeters are: 42, 39, 42, 45, 43, 40, 39, 41, 40, 42, 43, and 42. The mean length of the sample is 41.5. The sample standard deviation is 1.784. The population standard deviation is not known. If the computed t = −2.913, has there been a statistically significant change in the mean length of the candy bars?

Multiple Choice

  • Yes, because the computed t lies in the rejection region.

  • No, because the information given is not complete.

  • No, because the computed t lies in the area to the right of −2.718.

  • Yes, because 43 is greater than 41.5.

math   Statistics-And-Probability   
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