A research is conducted on the number of times Thais and Chinese who live alone buy Alcoholic drinks in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized below.
Statistic | Thais | Chinese |
Sample mean | 25.17 | 22.50 |
Sample standard deviation | 5.69 | 4.51 |
Sample size | 34 | 36 |
At the 0.01 significance level, is there a difference in the mean number of times Thais and Chinese order alcoholic drinks in a month?
State the decision rule for 0.01 significance level: H0: μ_thais= μ_chinese H1: μ_thais ≠ μ_chinese. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
What is your decision regarding the null hypothesis?
What is the p-value? (Round your answer to 3 decimal places.)
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