Use the following to answer the question(s) below.
The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean weight of 108 grams with a sample standard deviation of 14 grams. At the 0.05 level of significance, perform a hypothesis test to see if the true mean weight is less than 113 grams.
-The correct value of the test statistic is
A) -0.4.
B) 0.4.
C) -1.38.
D) 1.38.
E) 2.79.

Question

Quizplus · Accepted Answer

The test statistic for a one-sample t-test is calculated as: 
(t = (x̄ - μ)/(s/√n))
where x̄ is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

In this case, the null hypothesis is that the true mean weight (μ) is equal to 113 grams. The alternative hypothesis is that the true mean weight is less than 113 grams.

Therefore, our test statistic is: 
(t = (108 - 113)/(14/√15))
(t = -1.38)

The correct answer is C, -1.38.

Use the Following to Answer the Question(s) Below