Bookmarks Window Help 38% ng.cengage.com ouTube PowerPoint Chapter 8: CJC/Soc St... Mind Tap Cengage Learning A random sample is selected fro... how to inspect a GE MINDTAP Q Search this course r 8: Introduction to Hypothesis Testing Answer + 6. A random sample is selected from a normal population with a mean of u = 30 and a standard deviation of %3D o= 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 33. %3D a. If the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment n%3D has a significant effect? Use a two-tailed test with a = .05. b. If the sample consists of n = 64 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = .05. %3D c. Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test. Cengage Learning A random sample is selected from a normal po... GE MINDTAP how to inspec Q Search this cou er 8: Introduction to Hypothesis Testing IImuences he outcOIme of a Inypoiesis test. * AA Answer + 8. Brunt, Rhee, and Zhong (2008) surveyed 557 undergraduate college students to examine their weight status, health behaviors, and diet. Using body mass index (BMI), they classified the students into four categories: underweight, healthy weight, overweight, and obese. They also measured dietary variety by counting the number of different foods each student ate from several food groups. Note that the researchers are not measuring the amount of food eaten, but rather the number of different foods eaten (variety, not quantity). Nonetheless, it was somewhat surprising that the results showed no differences among the four weight categories that were related to eating fatty and/or sugary snacks. Suppose a researcher conducting a follow up study obtains a sample of n = 25 students classified as healthy weight and a sample of n = 36 students classified as overweight. Each student completes the food variety questionnaire, and the healthy-weight group produces a mean of M = 4.01 for the fatty, sugary snack category compared to a mean of M = 4.48 for the overweight group. The results from the Brunt, Rhee, and Zhong study showed an overall mean variety score of µ = 4.22 for the discretionary sweets or %3D fats food group. Assume that the distribution of scores is approximately normal with a standard deviation of o = 0.60. a. Does the sample of n = 36 indicate that the number of fatty, sugary snacks eaten by overweight students is significantly different from the overall population mean? Use a two-tailed test with a = ,05. b. Based on the sample of n = 25 healthy-weight students, can you conclude that healthy-weight students eat significantly fewer fatty, sugary snacks than the overall population? Use a one-tailed test with a = .05.