19) Which variables will you use to explore the relationship? Classify them as categorical/quantitative and as explanatory and response.  20) Create the appropriate graphical summary. Include the statistics that summarize the relationship between the variables. Without doing a hypothesis test, do you think this sample’s graph and statistics provide evidence of a relationship between the variables in the population?  21) Define the parameter and state the appropriate hypotheses you will use to see if the sample provides strong evidence of a relationship between the variables.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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analyze the question below with give data in the picture and answer the questions Please.

  • Explore the relationship between grade level and sleep time

19) Which variables will you use to explore the relationship? Classify them as categorical/quantitative and as explanatory and response. 

20) Create the appropriate graphical summary. Include the statistics that summarize the relationship between the variables. Without doing a hypothesis test, do you think this sample’s graph and statistics provide evidence of a relationship between the variables in the population? 

21) Define the parameter and state the appropriate hypotheses you will use to see if the sample provides strong evidence of a relationship between the variables.

22) Name the procedure you are using with the significance level.

23) Calculate the appropriate test statistic and p-value. Include a screenshot. 

24) Write an appropriate conclusion. 

Descriptive Statistics:
Group
Grade 10
Grade 11
Grade 12
Grade 10-
Grade 11-
Grade 12-
Source
Group
Error
Total
Sample Size
Mean
7.69
1.31
7.18
1.78
7.34
1.75
Side-by-side Boxplot Grade vs. Sleep Hours
146
91
63
df
2
297
299
Standard Deviation Standard Error
0.108
0.187
0.221
Sum of Squares
16.08
725.2
741.28
Y: Y3 Y₁
MA
Sleep Time (Hours)
8
Mean Square
8.04
2.442
F Statistic
3.292
P-value
0.0385
Transcribed Image Text:Descriptive Statistics: Group Grade 10 Grade 11 Grade 12 Grade 10- Grade 11- Grade 12- Source Group Error Total Sample Size Mean 7.69 1.31 7.18 1.78 7.34 1.75 Side-by-side Boxplot Grade vs. Sleep Hours 146 91 63 df 2 297 299 Standard Deviation Standard Error 0.108 0.187 0.221 Sum of Squares 16.08 725.2 741.28 Y: Y3 Y₁ MA Sleep Time (Hours) 8 Mean Square 8.04 2.442 F Statistic 3.292 P-value 0.0385
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Part3: Reflect on Statistical Practices

Directions:  frome the given problem above answer the following questions please.

25) How was the sample collected? Is the sample large enough? Be careful each test has a different way of testing this. 

26) Recall, a causal relationship suggests that a particular explanatory variable (the cause) has an effect on the response variable of interest (the effect). Explain why the hypothesis test you used in part 3 do not test for causal relationship (review causation Week 2 Day 1 Notes).

27) Who would find the results of this hypothesis test be useful in making decisions? How might the results influence decision-making?

28) When we use random samples, we need to be aware of the potential consequences of type I/type II errors. Review your conclusion and determine which type of error might have been made. What does it mean to make this error? What might the consequence of this type of error be?

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