Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 12 vegetarian children that are six years old. The average height of the children is 42.5 inches with a standard deviation of 3.8 inches. The average height for all six year old children is 45.75 inches. Conduct a hypothesis test to determine whether there is overwhelming evidence at a = 0.05 that six year old vegetarian children are not the same height as other six year old children. Assume that the heights of six year old vegetarian children are approximately normally distributed.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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6. Researchers studying the effects of diet on growth would like to know if a vegetarian diet
affects the height of a child. The researchers randomly selected 12 vegetarian children that
are six years old. The average height of the children is 42.5 inches with a standard deviation
of 3.8 inches. The average height for all six year old children is 45.75 inches. Conduct a
hypothesis test to determine whether there is overwhelming evidence at a = 0.05 that six
year old vegetarian children are not the same height as other six year old children. Assume
that the heights of six year old vegetarian children are approximately normally distributed.
7. To test the null hypothesis that the average lifetime for a particular brand of bulb is 750
hours versus the alternative that the average lifetime is different from 750 hours, a sample
of 75 bulbs is used. If the standard deviation is known to equal 50 hours and if a is equal to
0.01, what values for a will result in rejection of the null hypothesis.
Transcribed Image Text:6. Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 12 vegetarian children that are six years old. The average height of the children is 42.5 inches with a standard deviation of 3.8 inches. The average height for all six year old children is 45.75 inches. Conduct a hypothesis test to determine whether there is overwhelming evidence at a = 0.05 that six year old vegetarian children are not the same height as other six year old children. Assume that the heights of six year old vegetarian children are approximately normally distributed. 7. To test the null hypothesis that the average lifetime for a particular brand of bulb is 750 hours versus the alternative that the average lifetime is different from 750 hours, a sample of 75 bulbs is used. If the standard deviation is known to equal 50 hours and if a is equal to 0.01, what values for a will result in rejection of the null hypothesis.
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