Question

1. Test at the 5% level of significance whether the mean GPA of males is lower than that of females (see Table 1). (10 marks) 2. Test at the 5% level of significance whether there is difference in the proportions of male and female students who prefer to start a business in Barbados (see Table 2). (10 marks) 3. What is the correlation coefficient for the relationship between GPA and age for five students in the sample? Calculate the coefficient of determination. Interpret these values (see Table 3). (20 marks) 4. Test at the 10% level of significance whether the correlation (in question 3) is zero? (see Table 3) (10 marks) 5. Is there a relationship between nationality and preference to start a business? Test at the 5% level? (see Table 4) (10 marks) NB: This assignment is 20 % of your grade. Table 1 Sample Mean Sample Standard Deviation Male (n = 24) 2.34 1.23 Female (n = 26) 3.02 1.34 Table 2 Percentage(%) to Start Business in Barbados Male (n =24) 45% Female (n = 26) 59% Table 3 Correlation Table for 5 students GPA AGE 3.94 21 3.15 35 2.53 42 3.21 23 3.04 32 Table 4 Prefer to Start Business in Barbados Prefer to Start Business in Other Country Barbadian Students 15 5 Non-Barbadian Students 10 20

          1. Test at the 5% level of significance whether the mean GPA of males is lower than that of females (see Table 1). (10 marks)

2. Test at the 5% level of significance whether there is difference in the proportions of male and female students who prefer to start a business in Barbados (see Table 2). (10 marks)

3. What is the correlation coefficient for the relationship between GPA and age for five students in the sample? Calculate the coefficient of determination. Interpret these values (see Table 3). (20 marks)

4. Test at the 10% level of significance whether the correlation (in question 3) is zero? (see Table 3) (10 marks)

5. Is there a relationship between nationality and preference to start a business? Test at the 5% level? (see Table 4) (10 marks)

NB: This assignment is 20 % of your grade.

Table 1
Sample Mean Sample Standard Deviation
Male (n = 24) 2.34 1.23
Female (n = 26) 3.02 1.34

Table 2
Percentage(%) to Start Business in Barbados
Male (n =24) 45%
Female (n = 26) 59%

Table 3 Correlation Table for 5 students
GPA AGE
3.94 21
3.15 35
2.53 42
3.21 23
3.04 32

Table 4
Prefer to Start Business in Barbados Prefer to Start Business in Other Country
Barbadian Students 15 5
Non-Barbadian Students 10 20

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1. Test at the 5% level of significance whether the mean GPA of males is lower than that of females (see Table 1). (10 marks)

2. Test at the 5% level of significance whether there is difference in the proportions of male and female students who prefer to start a business in Barbados (see Table 2). (10 marks)

3. What is the correlation coefficient for the relationship between GPA and age for five students in the sample? Calculate the coefficient of determination. Interpret these values (see Table 3). (20 marks)

4. Test at the 10% level of significance whether the correlation (in question 3) is zero? (see Table 3) (10 marks)

5. Is there a relationship between nationality and preference to start a business? Test at the 5% level? (see Table 4) (10 marks)

NB: This assignment is 20 % of your grade.

Table 1
Sample Mean Sample Standard Deviation
Male (n = 24) 2.34 1.23
Female (n = 26) 3.02 1.34

Table 2
Percentage(%) to Start Business in Barbados
Male (n =24) 45%
Female (n = 26) 59%

Table 3 Correlation Table for 5 students
GPA AGE
3.94 21
3.15 35
2.53 42
3.21 23
3.04 32

Table 4
Prefer to Start Business in Barbados Prefer to Start Business in Other Country
Barbadian Students 15 5
Non-Barbadian Students 10 20

Added by Jessica R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jerelyn Nevil

11/26/2023

Step 1

To test whether the mean GPA of males is lower than that of females, we can use a two-sample t-test. The null hypothesis (H0) is that the mean GPA of males is equal to the mean GPA of females, and the alternative hypothesis (Ha) is that the mean GPA of males is Show more…

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1. Test at the 5% level of significance whether the mean GPA of males is lower than that of females (see Table 1). (10 marks) 2. Test at the 5% level of significance whether there is difference in the proportions of male and female students who prefer to start a business in Barbados (see Table 2). (10 marks) 3. What is the correlation coefficient for the relationship between GPA and age for five students in the sample? Calculate the coefficient of determination. Interpret these values (see Table 3). (20 marks) 4. Test at the 10% level of significance whether the correlation (in question 3) is zero? (see Table 3) (10 marks) 5. Is there a relationship between nationality and preference to start a business? Test at the 5% level? (see Table 4) (10 marks) NB: This assignment is 20 % of your grade. Table 1 Male (n = 24) Sample Mean 2.34 Sample Standard Deviation 1.23 Female (n = 26) Sample Mean 3.02 Sample Standard Deviation 1.34 Table 2 Male (n = 24) Percentage(%) to Start Business in Barbados 45% Female (n = 26) Percentage(%) to Start Business in Barbados 59% Table 3 Correlation Table for 5 students GPA AGE 3.94 21 3.15 35 2.53 42 3.21 23 3.04 32 Table 4 Barbadian Students Prefer to Start Business in Barbados 15 Prefer to Start Business in Other Country 5 Non-Barbadian Students Prefer to Start Business in Barbados 10 Prefer to Start Business in Other Country 20

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