BBM203/03: David set a mathematics quiz for his students The quiz is marked out of 10 His students’ marks are summarized: Business Statistics Assignment, WOU, Malaysia
University | Wawasan Open University (WOU) |
Subject | BBM203/03: Business Statistics |
Question 1
David set a mathematics quiz for his students. The quiz is marked out of 10. His students’ marks are summarized in the table below:
- Construct an appropriate frequency table and draw a histogram to depict the data above
- Compute the mean
- Calculate the variance and standard deviation
- Calculate the coefficient of variation
- Interpret the distribution of marks as shown in your histogram
Question 2
Explain the following concepts:
- Confidence levels
- Qualitative data
- Multiplication rule
- Bayes’ Law
Question 3
Part 1
A researcher collected a sample of 50 respondents in a shopping mall on a weekend. The data are organized in the table below:
Calculate the following probabilities
- Prob (A)
- Prob (University graduate)
- Prob (A University graduate)
- Prob (University graduate A)
Part 2
The random variable Y follows a normal distribution with mean µ and variance σ2 , i.e. Y N(µ, σ2). Suppose we have the following information:
P(X ≤ 66) = 0.0421 and P(X ≥ 81) = 0.1298
(a) Compute the value of σ = 5
(c) Calculate P(65 ≤ X ≤ 74)
Question 4
- A sample of test scores is obtained. The scores are displayed as follows:
11, 16, 19, 15, 7, 8, 10
Test the hypothesis that the mean score is 15 at a 1% significance level
- A chemical manufacturer is concerned about the degree of contamination in the raw material shipments purchased from a supplier. Taking a random sample of 20 shipments of raw materials, the standard deviation of contamination is 3.59. Construct the 95% confidence interval for population variance.
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