With a one-sample t-test, the value of t isGroup of answer choicesalways positivepositive if the sample mean is too smallnegative whenever the sample standard deviation is negativepositive if the sample mean is larger than the hypothesised population mean

The value of t in a one-sample t-test is positive if the sample mean is larger than the hypothesised population mean.

Here's a step-by-step explanation:

1. The t-value in a one-sample t-test is calculated using the formula: t = (X̄ - μ) / (s/√n), where X̄ is the sample mean, μ is the hypothesized population mean, s is the standard deviation of the sample, and n is the sample size.

2. If the sample mean (X̄) is larger than the hypothesized population mean (μ), then the numerator of the formula (X̄ - μ) will be positive.

3. The denominator of the formula (s/√n) is always positive, because the standard deviation (s) is always positive and the square root of the sample size (√n) is also always positive.

4. Therefore, if the sample mean is larger than the hypothesized population mean, the t-value will be positive.