the following questions are either true or false answers 1. The Central Limit Theorem allows one...

the following questions are either true or false answers

1. The Central Limit Theorem allows one to use the Normal Distribution for both normally and non-normally distributed populations.

2. A random sample of 25 observations yields a mean of 106 and a standard deviation of 12. Find the probability that the sample mean exceeds 110. The probability of exceeding 110 is 0.9525.

3. Suppose the average time spent driving for drivers age 20-to-24 is 25 minutes and you randomly select 50 drivers. What is the probability that the mean time they spend driving each day is between 24.7 and 25.5 minutes, assuming that the standard deviation is 1.5 minutes?

P(24.7<X<25.5) =0.9116

4. An electrical firm manufactures a certain type of light bulb that has a mean life of 1,800 hours and a standard

deviation of 200 hours. Find the probability that a random sample of 100 bulbs will have an average life of more than 1,825 hours.

P(X>1,825) =0.1056

5. A manufacturing company receives a shipment of ball bearings each month from a supplier. The inspector applies the following rule in deciding whether or not to accept or reject each shipment: If the mean diameter of the sample is between 0.245 and 0.255 the shipment is accepted otherwise the shipment is rejected. A random sample of 36 bearings is selected and measured. What is the probability of accepting the shipment that has a mean diameter of 0.240 inches and a standard deviation of 0.015 inches? The probability of accepting the shipment is 0.0228.

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orchestra answered 1 year ago

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