The weights of soy patties sold by Veggie Burgers Delight are normally distributed.A random sample of 15 patties yields a mean weight of 3.8 ounces with a sample standard deviation of 0.5 ounces.At the .05 level of significance, perform a hypothesis test to see if the true mean weight is less than 4 ounces.
The correct calculated value of the test statistic is ________________________ .

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula $t = \frac{\bar{x} - \mu}{(s/\sqrt{n})}$, where $\bar{x}$ is the sample mean, $\mu$ is the population mean under the null hypothesis, $s$ is the sample standard deviation, and $n$ is the sample size. Substituting the given values: $t = \frac{3.8 - 4}{(0.5/\sqrt{15})}$ results in approximately -1.55.

The Weights of Soy Patties Sold by Veggie Burgers Delight