a. Suppose X is a normal random variable with mean 2 and standard deviation 10. Find P(X < -5),
P(X >= 0), and P(X >= 10).
b. Suppose that X is a normal random variable with mean 100 and standard deviation 6. Find P(X <= 110), P(X >= 85), and P(X <= 100).
c. Suppose that X is a normal random variable with mean 30 and standard deviation 2. Find P(X >= 28), P(27 <= X <= 34), and P(X <= 35).
a. Suppose X is a normal random variable with mean 2 and standard deviation 10. Find P(X < -5),
P(X >= 0), and P(X >= 10).
b. Suppose that X is a normal random variable with mean 100 and standard deviation 6. Find P(X <= 110), P(X >= 85), and P(X <= 100).
c. Suppose that X is a normal random variable with mean 30 and standard deviation 2. Find P(X >= 28), P(27 <= X <= 34), and P(X <= 35).
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Related questions
The manufacturing specification for a particular variety of copper wire indicates that the process standard deviation of the wire diameter should not exceed .005 inches. A random sample of 20 wires reveals a sample standard deviation of .006 inches. The researcher is interested in finding evidence at the .05 level that the process standard deviation is exceeding the specification limit.
Which of the following pairs of hypotheses accurately reflects the question of interest?
| a. | H0: ?=.005 HA: ??.005 | |||||||||||||||||||||||||||||||||||||||||||||||||
| b. | H0: p?0.005 HA: p<0.005 | |||||||||||||||||||||||||||||||||||||||||||||||||
| c. | H0: ??.005 HA: ? >.005 | |||||||||||||||||||||||||||||||||||||||||||||||||
| d. | H0: ??.005 HA: ?>.005 | |||||||||||||||||||||||||||||||||||||||||||||||||
| e. | H0: ?=.005 HA: ??.005 Which of the following is the correct value of the test statistic?
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