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In: Statistics and Probability

1. The concentration of particles in a suspension is 49 per mL. A 5 mL volume...

1. The concentration of particles in a suspension is 49 per mL. A 5 mL volume of the suspension is withdrawn.

What is the probability that the number of particles withdrawn will be between 235 and 265?

2. a sample of 100 steel wires the average breaking strength is 46 kN, with a standard deviation of 2 kN.

Find a 95% confidence interval for the mean breaking strength of this type of wire. Round the answers to three decimal places.

The 95% confidence interval is (_,_ ).

Find a 99% confidence interval for the mean breaking strength of this type of wire. Round the answers to three decimal places.

The 99% confidence interval is (_,_ ).

An engineer claims that the mean breaking strength is between 45.7 kN and 46.3 kN. With what level of confidence can this statement be made? Express the answer as a percent and round to two decimal places.

The level of confidence is _%.

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