The Mean Length of a Candy Bar Is 43 Millimeters

question 58

Multiple Choice

The mean length of a candy bar is 43 millimeters. There is concern that the settings of the machine
Cutting the bars have changed. Test the claim at the 0.02 level that there has been no change in the
Mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were
Selected at random and their lengths recorded. The lengths are (in millimeters) 42, 39, 42, 45, 43,
40, 39, 41, 40, 42, 43, and 42. The mean of the sample is 41.5 and the standard deviation is 1.784.
Computed t = -2.913. Has there been a statistically significant change in the mean length of the
Bars?

• A) Yes, because the computed t lies in the rejection region.
• B) No, because the information given is not complete.
• C) No, because the computed t lies in the area to the right of -2.718.
• D) Yes, because 43 is greater than 41.5.

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Definitions:

Intellectual Disability

A condition characterized by significant limitations in intellectual functioning and adaptive behavior, originating before the age of 18.

Prader-Willi Syndrome

A genetic disorder resulting in obesity, intellectual disability, and short stature due to an insatiable appetite.

Metabolic Disorder

A genetic or acquired disorder that affects the body's ability to convert food into energy, often leading to an excessive buildup of toxic substances.

Intellectual Disability

An affliction signified by severe limitations in cognitive functioning and in adaptive behavior, affecting numerous fundamental social and practical life skills.