A random sample of size n1 = 14 is selected from a normal population with a mean of 74 and a standard deviation of 7.A second random sample of size n2 = 6 is taken from another normal population with mean 70 and standard deviation 12. Let XjandX2 be the two sample means. Find: (a) The probability that X1 – X2 exceeds 3. - (b) The probability that 4.5 < X1 - X2 < 5.8. Round your answers to two decimal places (e.g. 98.76). (a) i ! (b) i

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A random sample of size n1 = 14 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second
random sample of size n2 = 6 is taken from another normal population with mean 70 and standard deviation 12. Let X1 and X2 be the
two sample means. Find:
(a) The probability that X1 - X2 exceeds 3.
(b) The probability that 4.5 <X1 – X2 < 5.8.
Round your answers to two decimal places (e.g. 98.76).
(a)
i
(b)
i
Transcribed Image Text:A random sample of size n1 = 14 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2 = 6 is taken from another normal population with mean 70 and standard deviation 12. Let X1 and X2 be the two sample means. Find: (a) The probability that X1 - X2 exceeds 3. (b) The probability that 4.5 <X1 – X2 < 5.8. Round your answers to two decimal places (e.g. 98.76). (a) i (b) i
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