(d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
(e) Conclude the test.
At the ̑ = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the ̑ = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
At the ̑ = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the ̑ = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
(f) Interpret the results.
Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
Reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
Reject the null hypothesis, there is insufficient evidence that there is a difference between the population means.
Fail to reject the null hypothesis, there is insufficient evidence that there is a difference between the population means.
(g) Find a 99% confidence interval for ̑1 − ̑2. (Round your answers to two decimal places.)
lower limit
upper limit
Explain the meaning of the confidence interval in the context of the problem.
At the 99% level of confidence, it appears that the difference between population means is below the lower limit.
At the 99% level of confidence, it appears that the difference between population means is between the lower limit and the upper limit.
At the 99% level of confidence, it appears that the difference between population means is above the upper limit.
At the 99% level of confidence, it appears that the difference between population means is equal to the upper limit.