According to Nielsen Inc., the top 20 rated TV shows for 2018, based on the share of the total available audience, are listed here. A researcher believes that viewing habits of viewers who live in the U.S. Pacific Standard Time (PST) zone are not related to the Nielsen shares. The researcher surveyed a random sample of TV viewers in the PST zone and computed a composite ranking for the top 20 TV shows.

a. Draw a scatter diagram. Place the Nielsen rating on the horizontal axis and the ranking of PST zone TV viewers on the vertical axis.

b. Compute the coefficient of rank correlation between the two variables.

c. At the .05 significance level, is it reasonable to conclude there is a positive association between the Nielsen shares and the PST zone rankings?

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Nielsen PST Zone Rank Show Network Share Composite Rank 1 NFL Sunday Night Football NBC 6.2 1 This Is Us NBC 5.4 3 Roseanne АВС 12 4 NFL Thursday Night Football (CBS + NFLN) The Big Bang Theory CBS 4.5 CBS 4.4 11 NFL Sunday Night Football Pre-Kickoff NBC 4.3 14 7 NFL Thursday Night Football (NBC+ NFLN) NBC 4 19 8 The OT Fox 3.8 16 The Good Doctor АВС 3.4 7 Young Sheldon Grey's Anatomy Football Night in America 3 10 CBS 3.3 6 11 АВС 3.2 13 12 NBC 3.1 8 13 9-1-1 Fox 3 2 14 Will & Grace NBC 2.8 9. 15 Empire Fox 2.6 20 16 The Voice NBC 2.5 4 17.5 Survivor CBS 2.4 15 17.5 The Bachelor АВС 2.4 17 19.5 Ellen's Game of Games NBC 2.3 18 19.5 The Voice (Tues) NBC 2.3 10