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Answer:
For α=0.01 and two-tailed test: t=2.8188
For α=0.025 and two-tailed test: t=2.4055
For α=0.05 and two-tailed test: t=2.0739
For α=0.10 and two-tailed test: t=1.7171
Step-by-step explanation:
In this problem, we have to estimate the value of the statistic "t" of a sample of size n=23 (22 degrees of freedom), in which the sample mean is M=770 and the sample standard deviation is s=25.
The estimated standard deviation is
The critical values of the statistic t depends on the significance level:
The degree of freedom is known: df=22.
For α=0.01 and two-tailed test: t=2.8188
For α=0.025 and two-tailed test: t=2.4055
For α=0.05 and two-tailed test: t=2.0739
For α=0.10 and two-tailed test: t=1.7171