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 25 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 8 terrariums with the new soil mixture, the farmer finds that the average time before they are ready is 21 days with a standard deviation of 5 days. In testing the hypotheses Ho: μ = 24 and H₁ : μ< 24, what is the value of the t-test statistic? Round your answer to three decimal places.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 25 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 8 terrariums
with the new soil mixture, the farmer finds that the
average time before they are ready is 21 days with a
standard deviation of 5 days.
In testing the hypotheses Ho: μ = 24 and H₁ :
μ< 24, what is the value of the t-test statistic?
Round your answer to three decimal places.
Transcribed Image Text: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 25 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 8 terrariums with the new soil mixture, the farmer finds that the average time before they are ready is 21 days with a standard deviation of 5 days. In testing the hypotheses Ho: μ = 24 and H₁ : μ< 24, what is the value of the t-test statistic? Round your answer to three decimal places.
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