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Chapters 1, 12, 2, and 3 1. Measurements are collected from 100 subjects from each of two sources. The data yield the following frequency histograms. The number above each rectangle is its height. Source 1 10 10 16 17 18 Source 2 13 16 17 Each sample has the same mean, 10.00. In order to answer (b) and (c) below, refer to the empirical rule for interpreting s, taking into account the shape of the histogram. Do not try to calculate s because you do not have enough information to do so. In addition, you will receive no credit for simply identifying the correct s; you must provide an explanation. (a) What is the most precise correct state- 2. The mean and median of Al's n = 3 observa- ment that you can make about the numer- tions both equal 10. The mean and median of ical value of the median of the data from Bev's n = 5 observations both equal 18. source 27 Do not explain your answer. Hint: Here is a correct statement: The me- (a) Carol combines Al's and Bev's data into dian is between O and 20. This statement one collection of n = 8 observations. is not precise enough to receive any credit. Can the mean of Carol's data be calculated (b) Among the possibilities 1.50, 2.00 and from the information given? If you think 2.50, which is the numerical value of s for not, just say that. If you think it can, then the data from source 17 Explain your an- calculate Carol's mean. swer. (b) Refer to part (a). Demonstrate, by an ex- (c) Among the possibilities 1.00, 1.50 and plicit example, that there is not enough 2.00, which is the numerical value of s for information to determine Carol's median. the data from source 27 Explain your an- Hint: Find two sets of data sets that sat- isfy Al's and Bev's conditions, yet, when swer. combined, give different medians.3. A sample of size 40 yields the following sorted P(X =x) P(X pz) if a = 6. (a) Calculate range, IQR, and median of these (b) Find the P-value for the third alternative data. (pi # p2) if = = -0.2500. (b) Given that the mean of these data is (c) Determine both the P-value and a that sat- 63.50 (exactly) and the standard devia- isfy the following condition: The data are tion is 12.33, what proportion of the data statistically significant but not highly sta- lie within one standard deviation of the tistically significant for the second alter- mean? native (p1 p2) if a = 6. 2