The following summary statistics and two dotplots display data on 64 used textbooks. The price of each used textbook was recorded from the University of California, Los Angeles (UCLA) campus bookstore and from Amazon. Book Source Sample Size Mean Standard Deviation UCLA bookstore 64 $49.63 $42.21 Amazon 64 $37.46 $32.76 Diff = UCLA - Amazon 64 $12.16 $21.17 50 100 150 200 Bookstore Price ($) 50 100 150 200 Amazon Price ($) You would like to determine whether the prices of used textbooks purchased from the UCLA bookstore are, on average, higher than the prices of used textbooks purchased from Amazon. What would be the null and alternative hypotheses using appropriate notation? Ho: UCLA - It Amazon = 0 versus Ha: UCLA - Amazon > 0 Ho: MUCLA - MAmazon = 0versus Ha: MUCLA - /Amazon > 0 Ho: Ha = Oversus Ha: Ma 0where d is the difference UCLA - AmazonThe following summary statistics and two dotplots display data on 64 used textbooks. The price of each used textbook was recorded from the University of California, Los Angeles (UCLA) campus bookstore and from Amazon. Book Source Sample Size Mean Standard Deviation UCLA bookstore 64 $49.63 $42.21 Amazon 64 $37.46 $32.76 Diff = UCLA - Amazon 64 $12.16 $21.17 50 100 150 Bookstore Price ($) 100 150 200 Amazon Price (S) A simulated null distribution from the Matched Pairs applet is shown below. What applet inputs should you choose to compute the p- value? Mean = 0.009 SD = 3.023 -3 0 Average difference Count the proportion of samples (choose one)Patients with chronic obstruction pulmonary disease (COPD) volunteered to be tested for exhaled nitric oxide (eNO) while resting and after a 6 minute walk test. Each subject was measured under each condition, and the order of presentation (resting then walking or the other way around) was randomized. Fresearchers believe the eNO should be higher while walking than resting for COPD patients. The data are summarized in the table below. Assume each of the distributions of eNO - while walking, while resting, and the differences - is not heavily skewed. Treatment Sample Size Mean Standard Deviation Walking 27 14.2 2.8 Resting 27 9.3 2.9 Diff = Walking - Resting 27 4.9 1.5 To what group does this conclusion apply? All COPD patients All patients at this hospital Only those patients who are similar to the ones in the study O More information is needed to answer this questionA past statistics project investigated how well college students perceive their own attractiveness. Twenty college students were recruited to participate in the study. As part of the study, each student rated their own attractiveness on a scale from 1-10. Each of the 20 participants also agreed to have their picture taken. All pictures were taken in similar lighting. In the second part of the study, a group of 79 college student volunteers (who were not part of the original group of 20) agreed to rate the attractiveness of each of the people in the pictures on a scale of 1-10. Researchers then averaged the attractiveness rating of the 79 "raters" (referred to as the societal rating) to compare to the self-rating to determine whether or not college students are accurate in their self-perceptions. Summary statistics are presented in the following table. Attractiveness Rating Sample Size Mean Standard Deviation Self 20 7.450 1.395 Societal 20 6.384 1.349 Diff = Self - Societal 20 1.066 1.507 Define the parameter of interest in the context of the problem. The true average self-rating of attractiveness The true average attractiveness rating of the 79 raters The true mean difference in self- and societal- ratings of attractiveness Whether students perceive their own attractiveness