A manufacturer of stone-ground deli-style mustard uses a high-speed machine to fill jars. The amount of mustard dispensed is normally distributed with a mean weight of 290 grams, and a standard deviation of 4 grams. If the actual amounts dispensed is too low, then their customers will be cheated; if it’s too high, then the company could lose money. To keep the machine properly calibrated, the company periodically takes a sample of 12 jars, to see if they need to stop production temporarily and re-calibrate. A recent sample produced a mean of 292.2 grams. Should the company be concerned that µ 6= 290 grams? Use α = 0.025. Use the p-value approach.

Q: The tread life of a certain brand of tires is known to be normally distributed with a mean of 40,000…

A: From the provided information, Mean (µ) = 40000 miles Standard deviation (σ) = 2000 miles X~N…

Q: A quality control company was hired to study the length of meter sticks produced by a certain…

A: The mean length would be at the 92nd percentile is obtained below: here, P (Z < z) = 92% P (Z…

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. What…

A: We have given that,  Let X be the GPA scores from normal distribution with average or mean (μ) =…

Q: Arsenic occurs naturally in some ground water and can be toxic. A mean arsenic level of μ=9 parts…

A: Given that α=0.005. Hence, the level of significance is 0.005.   The appropriate Null and…

Q: months. What is the standardized value for a family vehicle that is 3 years and 3  months old?

A: Given Data : Population Mean,μ =2years = 2*12 =  24