The mean incubation time for a type of fertilized egg kept at a certain temperat

Question

The mean incubation time for a type of fertilized egg kept at a certain temperature is 22 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Would it be unusual for an egg to hatch in less than 19 days? Why?
The probability of an egg hatching in less than 19 days is __, so it _______ ( would or would not be) be unusual, since the probability is ______(greater or less) than 0.05 The mean incubation time for a type of fertilized egg kept at a certain temperature is 22 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Would it be unusual for an egg to hatch in less than 19 days? Why?
The probability of an egg hatching in less than 19 days is __, so it _______ ( would or would not be) be unusual, since the probability is ______(greater or less) than 0.05
The probability of an egg hatching in less than 19 days is __, so it _______ ( would or would not be) be unusual, since the probability is ______(greater or less) than 0.05

Explanation / Answer

Solution:-

Since = 22 and = 1 we have:

P ( X < 19 ) = P ( X < 1922 ) = P (X / < 1922 / 1)

Since x / = Z and 1922 / 1 = 3 we have:

P (X < 19) = P (Z < 3)

Using the standard normal table to conclude that:

P (Z < 3) = 0.0013

Therefore, The probability of an egg hatching in less than 19 days is 0.0013, so it would be ( would or would not be) be unusual, since the probability is less (greater or less) than 0.05

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