A significance test was performed to test H0: μ = 2 vs H1: μ ≠ 2 based on a sample of 16 observations.The test statistic is t = −2.125. Based on the Minitab output below, the p-value for this test is in the interval:Group of answer choices(0, 0.01)(0.01, 0.025)(0.025, 0.05)(0.05, 0.1)(0.1, 1)
Question
A significance test was performed to test H0: μ = 2 vs H1: μ ≠ 2 based on a sample of 16 observations.The test statistic is t = −2.125. Based on the Minitab output below, the p-value for this test is in the interval:Group of answer choices(0, 0.01)(0.01, 0.025)(0.025, 0.05)(0.05, 0.1)(0.1, 1)
Solution
Without the Minitab output, it's impossible to determine the exact p-value. However, given the information provided, we can make an educated guess.
The t-value of -2.125 and a sample size of 16 suggests a two-tailed test. In a t-distribution table, a t-value of approximately ±2.1 with 15 degrees of freedom (sample size - 1) typically corresponds to a p-value in the range of (0.05, 0.1).
So, the p-value for this test is likely in the interval (0.05, 0.1).
Please note that this is an estimation. The exact p-value can be determined using the Minitab output or a more precise statistical calculation.
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