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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.

 

Nielsen Rank Show Network Share PST Zone
Composite Rank
1 NFL Sunday Night Football NBC 6.2 1
2 This Is Us NBC 5.4 3
3 Roseanne ABC 5 12
4 NFL Thursday Night Football (CBS + NFLN) CBS 4.5 5
5 The Big Bang Theory CBS 4.4 11
6 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
9 The Good Doctor ABC 3.4 7
10 Young Sheldon CBS 3.3 6
11 Grey's Anatomy ABC 3.2 13
12 Football Night in America 3 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 ABC 2.4 17
19.5 Ellen's Game of Games NBC 2.3 18
19.5 The Voice (Tues) NBC 2.3 10
 
 

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.

1. On the graph below, use the point tool to plot the point corresponding to the Nielsen rating and its the ranking of PST zone TV viewers.

2. Repeat the process for the remainder of the sample (Nielsen rating 2, Nielsen rating 3, … ).

3. To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y.


b. Compute the coefficient of rank correlation between the two variables. (Round your answer to 3 decimal places.)

 

c-2. State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.)

c-3. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

 

PST Zone Composite Rank
25
Tools
point 1
point 2
15
point 3
point 4
10
point 5
point 6
5
10
15
25
Nielsen Rank
20
20
PST Zone Composite Rank
Transcribed Image Text:PST Zone Composite Rank 25 Tools point 1 point 2 15 point 3 point 4 10 point 5 point 6 5 10 15 25 Nielsen Rank 20 20 PST Zone Composite Rank
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