Question

Question 8 (7 points) In a study to determine whether counseling could help people lose weight, a sample of people experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 5 people 18.2, 3.9, 17.1, 8.8, 13.0 It is reasonable to assume that the population is approximately normal. A researcher wants to know whether the mean weight loss is greater than 10 pounds. Compute the P-value of the test. Write down your P-value. You will need it for the next question Write only a number as your answer. Round to four decimal places (for example: 0.3841). Your Answer: Answer

Answer 1

Q.8) Using Excel we get, n = 5

sample mean = 12.2 and sample standard deviation = 5.9393

The null and alternative hypotheses are,

H0 : μ = 10

Ha : μ > 10

Test statistic is,

12.2-10 5.0303- = 0.828

Degrees of freedom = 5 - 1 = 4

p-value = TDIST (0.828, 4, 1) = 0.2271

=> p-value = 0.2271

Question 9) Since, p-value > 0.05, we fail to reject the null hypothesis.

Conclusion : There is not enough evidence to conclude that the mean weight loss is greater than 10 pounds.