Lucy is using a one-sample t-test based on a simple random sample of size n = 24 to test the null hypothesis Ho: µ = 23.000 cm against the alternative H1: µ < 23.000 cm. The sample has mean x = 22.917 cm and standard deviation is s = 0.683 cm. Determine the value of the t-statistic for this test. Give your answer to three decimal places.

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Lucy is using a one-sample t-test based on a simple random sample of size \( n = 24 \) to test the null hypothesis \( H_0: \mu = 23.000 \, \text{cm} \) against the alternative \( H_1: \mu < 23.000 \, \text{cm} \). The sample has mean \( \bar{x} = 22.917 \, \text{cm} \) and standard deviation is \( s = 0.683 \, \text{cm} \).

Determine the value of the t-statistic for this test. Give your answer to three decimal places.

\[ t = \boxed{} \]
Transcribed Image Text:Lucy is using a one-sample t-test based on a simple random sample of size \( n = 24 \) to test the null hypothesis \( H_0: \mu = 23.000 \, \text{cm} \) against the alternative \( H_1: \mu < 23.000 \, \text{cm} \). The sample has mean \( \bar{x} = 22.917 \, \text{cm} \) and standard deviation is \( s = 0.683 \, \text{cm} \). Determine the value of the t-statistic for this test. Give your answer to three decimal places. \[ t = \boxed{} \]
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