Homework Answers
P[X>22]
=P[Z>-2]
=1-0.0228...................................by using Z table.
=0.9772
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A company that manufactures and bottles apple juice uses a machine that automatically fills 24-ounce bottles....
8. A company that manufactures and bottles apple juice uses a machine that automatically fills 16-...
8. A company that manufactures and bottles apple juice uses a machine that automatically fills 16- ounce bottles. There is some variation, however, in the amounts of liquid dispensed into the bottles that are filled. The amount dispensed has been observed to be approximately normally distributed with mean 16 ounces and standard deviation 1 ounce (a) Determine the proportion of bottles that will have more than 17 ounces dispensed into them. (b) Suppose bottles are rejected if they have more...
A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the...
A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the box is normally distributed with a mean of 24.8 ounces. What does the standard deviation have to be in order for 96% of the boxes to contain 24 ounces or more?
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.27 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains fewer than 12.17 ounces of boer 0.5062 0.9938 0.4938 0.0062 Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the...
A machine fills soda bottles which are labeled for sale as "1100ml", but there is random...
A machine fills soda bottles which are labeled for sale as "1100ml", but there is random variation in the actual amount of soda dispensed into the individual bottles. The actual amount of soda in the bottles is distributed according to a symmetric Triangular distribution between 1050ml and 1150ml. The proportion of bottles containing more than 1108.2ml o soda is 0.35. What proportion of bottles will contain between 1091.8ml and 1100ml? (Hint: Draw a picture.)
A machine at Ken's Ketchup Corporation fills 20-ounce ketchup bottles. The machine can be adjusted to...
A machine at Ken's Ketchup Corporation fills 20-ounce ketchup bottles. The machine can be adjusted to pour, on average, any amount of ketchup into these bottles. However, the machine does not pour exactly the same amount of ketchup into each bottle. It varies from bottle to bottle. It is known that the net amount of ketchup poured into each jug has a normal distribution with a standard deviation of 0.25 ounce. The quality control inspector wants to adjust the machine...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.19 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.09 and 12.15 ounces.
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.41 ounces and a standard deviation of 0.04 ounce. Find the probability that a randomly selected bottle contains between 12.31 and 12.37 ounces.
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.16 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.06 and 12.12 ounces. a. 0.8351 b. 0.1525 c. 0.8475 d. 0.1649
Orange 52. Juice Dispensing Machine A beverage company uses a machine to fill half-gallon bottles with...
Orange 52. Juice Dispensing Machine A beverage company uses a machine to fill half-gallon bottles with fruit juice (see figure). The company wants to estimate the mean volume of water the machine is putting in the bottles within 0.25 fluid Ounce. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 1 fluid Ounce. (b) The sample mean is exactly 64 fluid ounces. With a sample size...
An apple juice producer buys all his apples from a conglomerate of apple growers in one...
An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern state. The amount of juice obtained from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce. What is the probability that a randomly selected apple will contain more than 2.50 ounces?
8. A company that manufactures and bottles apple juice uses a machine that automatically fills 16- ounce bottles. There is some variation, however, in the amounts of liquid dispensed into the bottles that are filled. The amount dispensed has been observed to be approximately normally distributed with mean 16 ounces and standard deviation 1 ounce (a) Determine the proportion of bottles that will have more than 17 ounces dispensed into them. (b) Suppose bottles are rejected if they have more...
A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the box is normally distributed with a mean of 24.8 ounces. What does the standard deviation have to be in order for 96% of the boxes to contain 24 ounces or more?
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.27 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains fewer than 12.17 ounces of boer 0.5062 0.9938 0.4938 0.0062 Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the...
A machine fills soda bottles which are labeled for sale as "1100ml", but there is random variation in the actual amount of soda dispensed into the individual bottles. The actual amount of soda in the bottles is distributed according to a symmetric Triangular distribution between 1050ml and 1150ml. The proportion of bottles containing more than 1108.2ml o soda is 0.35. What proportion of bottles will contain between 1091.8ml and 1100ml? (Hint: Draw a picture.)
A machine at Ken's Ketchup Corporation fills 20-ounce ketchup bottles. The machine can be adjusted to pour, on average, any amount of ketchup into these bottles. However, the machine does not pour exactly the same amount of ketchup into each bottle. It varies from bottle to bottle. It is known that the net amount of ketchup poured into each jug has a normal distribution with a standard deviation of 0.25 ounce. The quality control inspector wants to adjust the machine...
Orange 52. Juice Dispensing Machine A beverage company uses a machine to fill half-gallon bottles with fruit juice (see figure). The company wants to estimate the mean volume of water the machine is putting in the bottles within 0.25 fluid Ounce. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 1 fluid Ounce. (b) The sample mean is exactly 64 fluid ounces. With a sample size...
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