BUSINESS STATISTICS This paper consists of ONE (1) section. (50 Marks) Answer all questions. Please answer using
Question:
BUSINESS STATISTICS
This paper consists of ONE (1) section. (50 Marks)
Answer all questions.
Please answer using the right formula for each question and answer all questions successfully.
1. A sample of 30 Malaysian students' daily expenses (in Ringgit) for a week.
19 | 20 | 20 | 21 | 23 | 25 |
25 | 27 | 30 | 31 | 34 | 35 |
35 | 36 | 41 | 42 | 46 | 47 |
48 | 49 | 50 | 52 | 53 | 56 |
60 | 64 | 66 | 75 | 80 | 85 |
1. Construct a frequency distribution.(3 Marks)
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2. Using the result from part (a), calculate the relative frequencies for each class. (3 Marks)
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3. Using the result from part (a), calculate the cumulative frequencies for each class. (3 Marks)
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4. Construct a frequency histogram for these data. (3 Marks)
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2. The following data represent the number of hours for a sample of nine students working parttime in as a grab driver.
3 5 5 4 8 4 12 10 7
1. Find the median and mode.(3 Marks)
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2. Calculate the mean working hours.(3 Marks)
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3. Calculate the variance and standard deviation for the data.(5 Marks)
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3. The following data represent the marks gained in Statistics examination for a population of 7students during short semester.
64 45 55 50 78 45 40
1. Find the median and mode. (3 Marks)
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2. Calculate the mean marks gained. (3 Marks)
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3. Calculate the variance and standard deviation for the data. (6 Marks)
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4. In a recent survey of consumer confidence, 160 respondents were classified by their level ofeducation. The results are shown below.
Confidence | Education | Total | ||
High School | College | University | ||
Low | 13 | 17 | 16 | 46 |
Medium | 28 | 23 | 13 | 64 |
High | 33 | 15 | 7 | 55 |
Total | 74 | 55 | 36 | 165 |
If one of the consumers' surveys is randomly selected, answer the following questions.
1. What is the probability that the respondent has low confidence? (3 Marks)
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2. What is the probability that the respondent has low confidence or has college educationlevel? (3 Marks)
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3. What is the probability that the respondent has high confidence and has high schooleducation level?(2 Marks)
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4. What is the probability that the respondent has medium confidence given that the he or shehas college education level? (2 Marks)
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5. Many people believe that the average number of Facebook users' friends is 130. The population standard deviation is 38.2. A random sample of 50 high school students in a particular district revealed that the average number of Facebook friends was 162. Test the claim that the mean number of friends is greater than 130. Use a=0.05. Answer the followingquestions.
1. Identify the claim and state the Ho and H1.
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2. Find the critical value.
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3. Calculate the test statistic.
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4. Make a decision to reject or fail to reject the Ho.
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5. Interpret the decision in the context of the original claim
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6. The average strawberry has approximately 200 seeds. A very patient student selected arandom sample of 10 strawberries and found a sample mean of 185.2 seeds with a standarddeviation of 10. Test the claim that the mean is less than 200. Use a=0.05. Answer thefollowing questions.
1. Identify the claim and state the Ho andH1.
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2. Find the critical value.
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3. Calculate the test statistic.
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4. Make a decision to reject or fail to reject the Ho.
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5. Interpret the decision in the context of the original claim.
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