Question

A sample of 36 observations is selected from one population with a population standard deviation of...

 A sample of 36 observations is selected from one population with a population standard deviation of 3.8. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 4.4. The sample mean is 99.3. Conduct the following test of hypothesis using the 0.02 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2
 (a) This is a (Click to select)twoone-tailed test.
 (b) State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.)
 The decision rule is to reject H0 if z is (Click to select)insideoutside the interval (, ).
 (c) Compute the value of the test statistic. (Round your answer to 2 decimal places.)
 Value of the test statistic
 (d) What is your decision regarding H0? (Click to select)RejectDo not reject H0.
 (e) What is the p-value? (Round your answer to 4 decimal places.)
 p-value

The statistical software output for this problem is:

Hence,

a) Two - tailed

b) Decision rule:

The decision rule is to reject Ho if z is outside the interval (-2.33, 2.33)

c) Test statistic = 1.35

d) Do not reject Ho

e) p - Value = 0.1765

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