Question

# The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...

 The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 11 observations from one population revealed a sample mean of 25 and a sample standard deviation of 3.5. A random sample of 4 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.5.
 At the 0.01 significance level, is there a difference between the population means?
 a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.)
 The decision rule is to reject H0 if t <  or t > .
 b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)
 Pooled estimate of the population variance
 c. Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
 Test statistic
 d. State your decision about the null hypothesis. (Click to select)RejectDo not reject H0 .
 e. The p-value is (Click to select)between 0.01 and 0.1between 0.001 and 0.01between 0.1 and 0.2less than 0.001between 0.05 and 0.1.

a) The decision rule is to reject H0 if t <-3.012 or t > 3.012

b) pooled estimate of population variance=14.096

c) test statistic t=-1.825

d) Do not reject H0

e)

 The p-value is )between 0.01 and 0.1

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