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7.10 The incubation period of MERS (Middle East respiratory syndrome) is known t

ID: 3159026 • Letter: 7

Question

7.10  The incubation period of MERS (Middle East respiratory syndrome) is known to have a normal distribution with a mean of 8 days and a standard deviation of 3 days   Suppose a group of researchers claimed that the true mean is shorter than 8 days.  A test is conducted using a random sample of 20 patients.

a.)Formulate hypotheses for this test.

b.)Consider a rejection against region { x[mean]<6}

Suppose the test failed to reject H0.  If the true mean incubation period is 5 days, what is the type II error probability of the test using St.dev. = 3

Explanation / Answer

Ho : miu = 8

Ha : miu < 8

P( z > 6 - 5 / 3 / srqt 20 )

P( z > 1.49 ) = 0.0681

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