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 (μ)=420The Sample Mean (x¯)=425The Sample Variance (s2)=100The Sample Size (n)=9 ∴ 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 (μ)=405The Sample Mean (x¯)=412The Sample Variance (s2)=169The Sample Size (n)=15 ∴ 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 (μ)=415The Sample Mean (x¯)=420The Sample Variance (s2)=144The Sample Size (n)=12 ∴ 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 (μ)=450The Sample Mean (x¯)=458The Sample Variance (s2)=121The Sample Size (n)=10 ∴ 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 (μ)=300The Sample Mean (x¯)=308The Sample Variance (s2)=81The Sample Size (n)=13 ∴ 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 (μ)=480The Sample Mean (x¯)=490The Sample Variance (s2)=144The Sample Size (n)=14 ∴ 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 (μ)=520The Sample Mean (x¯)=528The Sample Variance (s2)=196The Sample Size (n)=10 ∴ 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 (μ)=425The Sample Mean (x¯)=430The Sample Variance (s2)=100The Sample Size (n)=11 ∴ 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 (μ)=600The Sample Mean (x¯)=615The Sample Variance (s2)=169The Sample Size (n)=9 ∴ 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 (μ)=450The Sample Mean (x¯)=460The Sample Variance (s2)=196The Sample Size (n)=8 ∴ The Sample Standard Deviation $ (s) = \sqrt{196} = 14…