H :µ> 2800 H : µ< 2800 (i) Find its degree of freedom. (2 marks) By using 5% level of significance, find the critical value and show the rejection (ii) area. (2 marks) (iii) Calculate the test statistic, t, to test the claim in this survey. (4 marks) (iv) Determine whether you reject Ho. (2 marks)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The average monthly, entry-level salary for fresh graduates was reported as $2,800. A recruiting agency believed that the mean salary of fresh entry is lower than this. The recruiting office randomly surveyed 25 entry-level graduates and found that the sample means salary is $2,200, and the sample standard deviation is $1800. Assuming t- distribution is followed, answer the following questions. Use: H0 : u>2800 H1 : u
The average monthly, entry-level salary for fresh graduates was reported as $2,800. A
recruiting agency believed that the mean salary of fresh entry is lower than this. The
recruiting office randomly surveyed 25 entry-level graduates and found that the sample
means salary is $2,200, and the sample standard deviation is $1800. Assuming t-
distribution is followed, answer the following questions. Use:
(b)
H: µ2 2800
H : µ< 2800
(i)
Find its degree of freedom.
(2 marks)
By using 5% level of significance, find the critical value and show the rejection
(ii)
area.
(2 marks)
(iii)
Calculate the test statistic, t, to test the claim in this survey.
(4 marks)
(iv)
Determine whether you reject Ho.
(2 marks)
Transcribed Image Text:The average monthly, entry-level salary for fresh graduates was reported as $2,800. A recruiting agency believed that the mean salary of fresh entry is lower than this. The recruiting office randomly surveyed 25 entry-level graduates and found that the sample means salary is $2,200, and the sample standard deviation is $1800. Assuming t- distribution is followed, answer the following questions. Use: (b) H: µ2 2800 H : µ< 2800 (i) Find its degree of freedom. (2 marks) By using 5% level of significance, find the critical value and show the rejection (ii) area. (2 marks) (iii) Calculate the test statistic, t, to test the claim in this survey. (4 marks) (iv) Determine whether you reject Ho. (2 marks)
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