Question

# Items produced by a manufacturing process are supposed to weigh 90 grams. However, there is variability...

Items produced by a manufacturing process are supposed to weigh 90 grams. However, there is variability in the items produced, and they do not all weigh exactly 90 grams. The distribution of weights can be approximated by a normal distribution with a mean of 90 grams and a standard deviation of 1 gram. To monitor the production process, items are sampled from the manufacturing process and weighed several times throughout each day.

What proportion of all possible items will either weigh less than 89 grams or more than 91 grams? Round your answer to two decimal places.

What proportion of all possible sample means of 4 items will either weigh less than 89 grams or more than 91 grams? Round your answer to two decimal places.

1)

 for normal distribution z score =(X-μ)/σx here mean=       μ= 90 std deviation   =σ= 1.0000

proportion of all possible items will either weigh less than 89 grams or more than 91 grams:

 probability = 1-P(89

2)

 sample size       =n= 4 std error=σx̅=σ/√n= 0.5

proportion of all possible sample means of 4 items will either weigh less than 89 grams or more than 91 grams:

 probability = 1-P(89

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• Researchers hypothesized that increasing a woman's level of arousal would increase her perceptions of attractiveness of...
• Equation 37-14b in the textbook gives the energy emitted by Hydrogen when electrons transition between states...
• Theory of Computation Please provide explanation too on how it works a. Give an NFA recognizing...
• Question 1 A sequential pattern detection circuit (state machine) has input A and output Y, which...
• Natural Foods Inc. is planning to invest in new manufacturing equipment to make a new garden...
• Explain why a callable bond's price would be expected to decline less than an otherwise comparable...