A small business ships specialty homemade candies to anywhere in the world. Past records indicate that the weight of orders is normally distributed. Suppose a random
Sample of 16 orders is selected and each is weighed. The sample mean was found to be
110 grams with a standard deviation of 14 grams. Which of the following statements is
True?
A) The sampling distribution for the sample mean follows the t-distribution with 16
Degrees of freedom.
B) The sampling distribution for the sample mean follows the t-distribution with 15
Degrees of freedom.
C) The mean of the sampling distribution for the sample mean is 110 grams.
D) The sampling distribution for the sample mean is Normal with a mean of 110 grams
And standard deviation of 14 grams.
E) The standard error is 14 grams.

Question

Quizplus · Accepted Answer

The t-distribution is used when the sample size is small (n < 30) and the population standard deviation is unknown. The degrees of freedom for the t-distribution is n-1, which in this case is 16-1 = 15.

A Small Business Ships Specialty Homemade Candies to Anywhere in the World