A potato chip manufacturer produces bags of potato chips that are supposed to have a net weight of 326 grams. Because the chips vary in size, it is difficult to fill the bags to the exact weight desired. However, the bags pass inspection so long as the standard deviation of their weights is no more than 3 grams. A quality control inspector wished to test the claim that one batch of bags has a standard deviation of more than 3 grams, and thus does not pass inspection. If a sample of 25 bags of potato chips is taken and the standard deviation is found to be 3.7 grams, does this evidence, at the 0.01 level of significance, support the claim that the bags should fail inspection? Assume that the weights of the bags of potato chips are normally distributed. Step 3 of 3 : Draw a conclusion and interpret the decision. Answer Tables Keypad Keyboard Shortcuts We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.010.01 level of significance that the bags should fail inspection. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.010.01 level of significance that the bags should fail inspection. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.010.01 level of significance that the bags should fail inspection. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.010.01 level of significance that the bags should fail inspection.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.010.01 level of significance that the bags should fail inspection.

We reject the null hypothesis and conclude that there is insufficient evidence at a 0.010.01 level of significance that the bags should fail inspection.

We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.010.01 level of significance that the bags should fail inspection.

We reject the null hypothesis and conclude that there is sufficient evidence at a 0.010.01 level of significance that the bags should fail inspection.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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