Bi-Weekly Quiz 4

Started: May 10 at 13:17

Quiz Instructions

Instructions: This quiz is available from 9:00am to 11:59pm on Friday, 10 May 2024, and it is worth 2% of the total mark for this unit. You have 30 minutes to complete the quiz on Canvas>Quizzes, and you can attempt this quiz up to two times. Answers submitted after 11:00pm will not be marked. You may use Excel to find the answers to questions in the tasks. This quiz has 3 tasks and a total of 14 questions, and the full mark is 2. No Excel data file is provided within this quiz. If your numerical answer has more than 4 decimal places, you must round it to 4 decimal places.

Note: this is a timed quiz. You may check the remaining time you have at any point while taking the quiz by pressing the keyboard combination SHIFT, ALT, and T... Again: SHIFT, ALT, and T...
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Task 1 (1.04 mark): One-way ANOVA

Five independent samples, each has 40 values, are taken from To test whether the means of the five populations are equal, a one-way ANOVA model is used. The total sum of squares of the data (SST) is 27500, and this ANOVA model can account for 15% of the total variation. An incomplete ANOVA table is given below.

Screenshot 2024-05-10 at 1.39.03 am.png

Answer Question 1 to Question 8.

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Task 2 (0.48 mark): Jarque-Bera Testing for Normality

A random sample of 40 values is taken from a continuous distribution and the result of the Jarque-Bera test is given below.

Screenshot 2024-05-10 at 1.45.02 am.png

The test statistic is JB0=n6(s2+14(k3)2). Answer Question 9 to Question 11.

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Question 9 0.13 pts
0 short_answer_question   4656014

Q9: The null hypothesis is that the data [A] (are/are not) normally distributed

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Question 10 0.13 pts
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Q10: At the 5% level of significance, is there sufficient evidence to support that hypothesis that the data are normally distributed? (Yes/No)

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Question 11 0.22 pts
0 numerical_question   4656016

Q11: What is a possible value of kurtosis?

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Task 3 (0.48 mark): Correlation Analysis

A random sample of 150 pairs of (x,y) values is taken and the results of the correlation analysis are given in the table below.

Screenshot 2024-05-10 at 1.50.10 am.png

The test statistic is  t0=rρ01r2n2. Answer Question 12 to Question 14.

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Question 12 0.13 pts
0 short_answer_question   4656017

Q12: The null hypothesis is H0: r = 0.7. Is this correct? (Yes/No)

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Question 13 0.13 pts
0 short_answer_question   4656018

Q13: At the 5% level of significance, is there sufficient evidence to support the hypothesis that the population correlation coefficient is less than 0.7? (Yes/No)

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Question 14 0.22 pts
0 numerical_question   4656019

Q14: What is the observed value of the test statistic? 

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