Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 13 wheels of Gouda and finds the mean is 1.2 lb with a standard deviation of 0.37 lb; she then randomly samples 11 wheels of Brie and finds a mean of 1.06 lb and a standard deviation of 0.33 lb. What is the p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four decimal places.)

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Author:Amos Gilat
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Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the
amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant
difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 13 wheels of Gouda and finds
the mean is 1.2 lb with a standard deviation of 0.37 Ib; she then randomly samples 11 wheels of Brie and finds a mean of 1.06 lb and a
standard deviation of 0.33 lb. What is the p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four
decimal places.)
Transcribed Image Text:Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 13 wheels of Gouda and finds the mean is 1.2 lb with a standard deviation of 0.37 Ib; she then randomly samples 11 wheels of Brie and finds a mean of 1.06 lb and a standard deviation of 0.33 lb. What is the p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four decimal places.)
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