A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is believed that the machine is overfilling the bags. A 9 bag sample had a mean of 425 grams with a variance of 100. Assume the population is normally distributed. Is there sufficient evidence at the 0.01 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 420 $The Sample Mean $ (\bar{x}) = 425 $The Sample Variance $ (s^2) = 100 $The Sample Size $ (n) = 9 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{100} = 10…

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is overfilling the bags. A 15 bag sample had a mean of 412 grams with a variance of 169. Assume the population is normally distributed. Is there sufficient evidence at the 0.05 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 405 $The Sample Mean $ (\bar{x}) = 412 $The Sample Variance $ (s^2) = 169 $The Sample Size $ (n) = 15 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{169} = 13…

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 415 gram setting. It is believed that the machine is overfilling the bags. A 12 bag sample had a mean of 420 grams with a variance of 144. Assume the population is normally distributed. Is there sufficient evidence at the 0.01 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 415 $The Sample Mean $ (\bar{x}) = 420 $The Sample Variance $ (s^2) = 144 $The Sample Size $ (n) = 12 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{144} = 12…

A manufacturer of nuts would like to know whether its bag filling machine works correctly at the 450 gram setting. It is believed that the machine is overfilling the bags. A 10 bag sample had a mean of 458 grams with a variance of 121. Assume the population is normally distributed. Is there sufficient evidence at the 0.05 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 450 $The Sample Mean $ (\bar{x}) = 458 $The Sample Variance $ (s^2) = 121 $The Sample Size $ (n) = 10 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{121} = 11…

A manufacturer of candy would like to know whether its bag filling machine works correctly at the 300 gram setting. It is believed that the machine is overfilling the bags. A 13 bag sample had a mean of 308 grams with a variance of 81. Assume the population is normally distributed. Is there sufficient evidence at the 0.02 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 300 $The Sample Mean $ (\bar{x}) = 308 $The Sample Variance $ (s^2) = 81 $The Sample Size $ (n) = 13 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{81} = 9…

A manufacturer of pretzels would like to know whether its bag filling machine works correctly at the 480 gram setting. It is believed that the machine is overfilling the bags. A 14 bag sample had a mean of 490 grams with a variance of 144. Assume the population is normally distributed. Is there sufficient evidence at the 0.01 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 480 $The Sample Mean $ (\bar{x}) = 490 $The Sample Variance $ (s^2) = 144 $The Sample Size $ (n) = 14 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{144} = 12…

A manufacturer of granola would like to know whether its bag filling machine works correctly at the 520 gram setting. It is believed that the machine is overfilling the bags. A 10 bag sample had a mean of 528 grams with a variance of 196. Assume the population is normally distributed. Is there sufficient evidence at the 0.05 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 520 $The Sample Mean $ (\bar{x}) = 528 $The Sample Variance $ (s^2) = 196 $The Sample Size $ (n) = 10 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{196} = 14…

A manufacturer of chips would like to know whether its bag filling machine works correctly at the 425 gram setting. It is believed that the machine is overfilling the bags. A 11 bag sample had a mean of 430 grams with a variance of 100. Assume the population is normally distributed. Is there sufficient evidence at the 0.02 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 425 $The Sample Mean $ (\bar{x}) = 430 $The Sample Variance $ (s^2) = 100 $The Sample Size $ (n) = 11 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{100} = 10…

A manufacturer of cereal would like to know whether its bag filling machine works correctly at the 600 gram setting. It is believed that the machine is overfilling the bags. A 9 bag sample had a mean of 615 grams with a variance of 169. Assume the population is normally distributed. Is there sufficient evidence at the 0.01 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 600 $The Sample Mean $ (\bar{x}) = 615 $The Sample Variance $ (s^2) = 169 $The Sample Size $ (n) = 9 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{169} = 13…

A manufacturer of snack mix would like to know whether its bag filling machine works correctly at the 450 gram setting. It is believed that the machine is overfilling the bags. A 8 bag sample had a mean of 460 grams with a variance of 196. Assume the population is normally distributed. Is there sufficient evidence at the 0.02 level that the bags are overfilled?

Answer:Given:The Hypothesized Mean $ (\mu) = 450 $The Sample Mean $ (\bar{x}) = 460 $The Sample Variance $ (s^2) = 196 $The Sample Size $ (n) = 8 $ $\therefore$ The Sample Standard Deviation $ (s) = \sqrt{196} = 14…