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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