Mathematics, 02.12.2021 01:00 michaelcarroll4228
This is a two-tailed test, so we are concerned about the critical values that give a total area of 0.05 in both the upper and lower tails. Therefore, each tail will have an area equal to half of 0.05, or 0.025. Any test statistic greater than or equal to the positive critical value or less than or equal to the negative critical value will result in the null hypothesis being rejected. An excerpt of the t table with 57 degrees of freedom is given below.
Degrees of Freedom Area in Upper Tail
0.20 0.10 0.05 0.025 0.01 0.005
57 0.848 1.297 1.672 2.002 2.394 2.665
Move along the row for 57 degrees of freedom until reaching the column corresponding to an upper tail area of 0.025. This value of t will be the positive critical value. Find this value, rounding the results to three decimal places.
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