The average of a populationCrispy Biscuit Manufacturers label the calorie content of 400 cal per 250 gram package. The Consumer Foundation believes that the actual calorie content is above 400 cal per pack. The Consumer Foundation took a sample of 100 packs of crispy biscuits and found that the average calorie was 406 cal with a standard deviation of 25 cal.Based on the sample data calculate a 95% confidence interval for the mean calories in the pack population!As in [1], calculate a 99% confidence interval for the average calorie in the packaged population!What can you conclude from the answers [1] and [2]By using a 1% alpha, would you support the Consumer Foundation hypothesis?

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Description: The average of a populationCrispy Biscuit Manufacturers label the calorie content of 400 cal per 250 gram package. The Consumer Foundation believes that the actual calorie content is above 400 cal per pack. The Consumer Foundation took a sample of 10

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The average of a population

Crispy Biscuit Manufacturers label the calorie content of 400 cal per 250 gram package. The Consumer Foundation believes that the actual calorie content is above 400 cal per pack. The Consumer Foundation took a sample of 100 packs of crispy biscuits and found that the average calorie was 406 cal with a standard deviation of 25 cal.

Based on the sample data calculate a 95% confidence interval for the mean calories in the pack population!
As in [1], calculate a 99% confidence interval for the average calorie in the packaged population!
What can you conclude from the answers [1] and [2]
By using a 1% alpha, would you support the Consumer Foundation hypothesis?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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