Assume that 10 people join a weight loss program for 3 months.Each person's weight both before and after the program is recorded and the number of pounds each person lost is found.The following summarizes the results for the 10 people: Mean weight lost = 9 pounds
Sample standard deviation of weight lost = 4.6 pounds
Assume that the hypothesis test will be conducted to determine whether or not the weight loss program is effective using a 0.05 level of significance.What is the value of the test statistic?
A)t = 6.19
B)t = 1.96
C)z = 1.96
D)z = 6.19

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula for the t-test: t = (mean - hypothesized mean) / (standard deviation/sqrt(n)). Here, the mean weight lost is 9 pounds, the hypothesized mean is 0 (no weight loss), the standard deviation is 4.6 pounds, and n = 10. This gives t = 9 / (4.6/sqrt(10)) = 6.19.

Assume That 10 People Join a Weight Loss Program for 3