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 11 vegetarian children that were six years old. The average height of the children is 43.5 inches with a standard deviation of 3.3 inches. The average height for all six-year-old children is 45.25 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a = 0.01 that six-year-old vegetarian children are not the same height as other six-year-old children. Assume the population is normally distributed. Step 1 of 2: Calculate a confidence interval for the average height of six-year-old vegetarian children. Round your answers to two decimal places.
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 11 vegetarian children that were six years old. The average height of the children is 43.5 inches with a standard deviation of 3.3 inches. The average height for all six-year-old children is 45.25 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a = 0.01 that six-year-old vegetarian children are not the same height as other six-year-old children. Assume the population is normally distributed. Step 1 of 2: Calculate a confidence interval for the average height of six-year-old vegetarian children. Round your answers to two decimal places.
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.12P
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![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 11 vegetarian
children that were six years old. The average height of the children is 43.5 inches with a standard deviation of 3.3 inches. The average height for all six-year-old children
is 45.25 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a = 0.01 that six-year-old vegetarian children are not the same
height as other six-year-old children. Assume the population is normally distributed.
Step 1 of 2: Calculate a confidence interval for the average height of six-year-old vegetarian children. Round your answers to two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd5dc567-a321-484b-b6d4-81d1bfab40f6%2F0be12dcd-6927-4fcd-a65f-83e591389f99%2Fn0zbwwnn_processed.png&w=3840&q=75)
Transcribed Image Text: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 11 vegetarian
children that were six years old. The average height of the children is 43.5 inches with a standard deviation of 3.3 inches. The average height for all six-year-old children
is 45.25 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a = 0.01 that six-year-old vegetarian children are not the same
height as other six-year-old children. Assume the population is normally distributed.
Step 1 of 2: Calculate a confidence interval for the average height of six-year-old vegetarian children. Round your answers to two decimal places.
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