When asked to explain the meaning of "the p-value was p = 0.03," a student says, "this means there is only probability 0.03 that the null hypothesis is true." is this an essentially correct explanation? explain your answer. yes, this is a correct explanation. no, p = 0.03 means that the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed is less than 0.03. no, p = 0.03 means that the outcome is at least 3% higher among one group than among the other group. no, p = 0.03 means that the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed is 0.03. no, p = 0.03 means that there is probability 0.03 that the null hypothesis is false.

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution

18 16 11 45 33 11 33 14 18 11 what is the mode for this data set

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.