MathStatisticsInferential StatisticsHypothesis testingStatistics tests

One sample t-test

Theory

Calculating t-value

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In a research study, it was expected that the mean value of a data set would be 1200. The researchers thought the initial number they got was only a theoretical value. They suspected the actual mean might be higher because of some unknown factors. To validate their suspicion, they took a sample of 40 data points and found the sample mean to be 1220, with a sample standard deviation of 40.9.

Their hypotheses were:

H0:μ=300H1:μ>300H_0:\mu=300\\H_1:\mu>300

Considering these data points, what would be the t-value?

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