A random sample of size n1 = 25, taken from a normal population with a standard deviation 01 = 5.0, has a mean of x = 83. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation o2 = 3.6, has a mean X, = 88. a) Test the hypothesis that µ1=µ2 using a 0.01 significance level. b) What is the p-value of the test statistic? c) Develop the appropriate confidence interval.

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2. A random sample of size n1 = 25, taken from a normal population with a standard deviation
o, = 5.0, has a mean of x1 = 83. A second random sample of size n2 = 36, taken from a
different normal population with a standard deviation o2 = 3.6, has a mean x, = 88.
a) Test the hypothesis that µ1=µ2 using a 0.01 significance level.
b) What is the p-value of the test statistic?
c) Develop the appropriate confidence interval.
Transcribed Image Text:2. A random sample of size n1 = 25, taken from a normal population with a standard deviation o, = 5.0, has a mean of x1 = 83. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation o2 = 3.6, has a mean x, = 88. a) Test the hypothesis that µ1=µ2 using a 0.01 significance level. b) What is the p-value of the test statistic? c) Develop the appropriate confidence interval.
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