200 people were randomly sampled and asked what they regularly eat for breakfast or lunch. Each person was identified as either a consumer or a non consumer of high-fiber cereals, and the number of calories consumed at lunch was measured and recorded. These data are summarized below: Consumer of high fiber cereals Non consumer of high cereals n1=41 n2 = 159  Mean 1 = 603 Mean 2 = 639  Standard deviation 1= 110  standard deviation 2 = 141 If the scientist claims that people who eat high fiber cereals for breakfast do consume on average fewer calories for lunch than people who don't eat high fiber cereals for breakfast, and if it is true, high fiber cereal manufacturer will be able to claim another advantage of eating their products-potential weight reduction for dieter. REQUIRED Are there sufficient evidence at 5% significance level to support the above claim?

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200 people were randomly sampled and asked what they regularly eat for breakfast or lunch.
Each person was identified as either a consumer or a non consumer of high-fiber cereals, and the
number of calories consumed at lunch was measured and recorded. These data are summarized
below:

Consumer of high fiber cereals Non consumer of high cereals
n1=41 n2 = 159
 Mean 1 = 603 Mean 2 = 639
 Standard deviation 1= 110  standard deviation 2 = 141


If the scientist claims that people who eat high fiber cereals for breakfast do consume on average
fewer calories for lunch than people who don't eat high fiber cereals for breakfast, and if it is
true, high fiber cereal manufacturer will be able to claim another advantage of eating their
products-potential weight reduction for dieter.
REQUIRED
Are there sufficient evidence at 5% significance level to support the above claim?

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