Terrariums are self-contained ecosystems inside a closed container. A local farmer produces terrariums for sale, but must wait for the plants in the terrarium to grow before she can sell them. On average, her terrariums take 24 days before they are ready to sell. She experiments with a new soil mixture, aiming to decrease the time it takes for the terrariums to be ready. In a sample of 7 terrariums with the new soil mixture, the farmer finds that the average time before they are ready is 20 days with a standard deviation of 3 days. In testing the hypotheses H_0 :μ=24 and Ha:μ<24, what is the value of the t-test statistic? Round your answer to three decimal places.
Terrariums are self-contained ecosystems inside a closed container. A local farmer produces terrariums for sale, but must wait for the plants in the terrarium to grow before she can sell them. On average, her terrariums take 24 days before they are ready to sell. She experiments with a new soil mixture, aiming to decrease the time it takes for the terrariums to be ready. In a sample of 7 terrariums with the new soil mixture, the farmer finds that the average time before they are ready is 20 days with a standard deviation of 3 days.
In testing the hypotheses H_0 :μ=24 and Ha:μ<24, what is the value of the t-test statistic? Round your answer to three decimal places.
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