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ms2002_2026T1_Q1_NA.pdf

Business Analytics(BA) · Quiz 1 · Jan 2026

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Question 2 MCQ · 0.5 marks

A distribution is right-tailed if
  1. Coefficient of variation is positive
  2. Skewness is positive
  3. Skewness is negative
  4. Cannot say without the histogram

A published solution is not available for this question yet.

Question 3 NAT · 1.0 marks

The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.
How many degrees of freedom is present for the “Residuals” of the built model?

    A published solution is not available for this question yet.

    Question 4 NAT · 0.5 marks

    The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.
    What is the market size?

      A published solution is not available for this question yet.

      Question 5 NAT · 1.0 marks

      The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.
      What is the satiating price for the demand response curve? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)

        A published solution is not available for this question yet.

        Question 6 NAT · 1.5 marks

        The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.
        What is the elasticity at a price of Rs. 20? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)

          A published solution is not available for this question yet.

          Question 7 NAT · 1.5 marks

          The demand response curve for a product is believed to be to linear. Therefore, the relationship between demand and price is modelled as a simple linear regression. The regression model built using 20 data points is as specified fellow. Demand = 5482 – 175*Price Based on the above data, answer the given subquestions.
          If the price changes from Rs.20 to Rs.25, then what is the elasticity of the curve between these two price points? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)

            A published solution is not available for this question yet.

            Question 8 NAT · 2.0 marks

            Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students. [[IMAGE:6740ce1c90fdc662_5_2]] Based on the above data, answer the given subquestions.
            If the aim is to understand if the “Gender” categories and “Completion” categories (including completion of any degree and discontinuation) are independent of each other, then what is the value for the computed test statistic? (Note: round your final answer to two decimal places. Example: If your answer is “1.2354” enter it as “1.24”)
            Source diagram or notation

              A published solution is not available for this question yet.

              Question 9 NAT · 1.0 marks

              Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students. [[IMAGE:6740ce1c90fdc662_5_2]] Based on the above data, answer the given subquestions.
              What is the number of degrees of freedom for the statistical test to be performed? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
              Source diagram or notation

                A published solution is not available for this question yet.

                Question 10 MSQ · 2.0 marks

                Say Table 2, provides the data on the number of enrolments who complete the “Foundation”, “Diploma”, and “Degree” and the number of enrolments who “discontinue” the IITM BSc program for “Male” and “Female” gender students. [[IMAGE:6740ce1c90fdc662_5_2]] Based on the above data, answer the given subquestions.
                If a 20% significance level is considered, then which of the following statements is/are true for the performed statistical test (choose all that are applicable)
                Source diagram or notation
                1. If the p-value for the test is 0.25, conclude that the course completions are independent of gender
                2. If the p-value for the test is 0.15, conclude that the course completions are not independent of gender
                3. If the p-value for the test is 0.25, conclude that the course completions are not independent of gender
                4. If the p-value for the test is 0.15, conclude that the course completions are independent of gender
                5. If the computed test statistic is less than the chi-square tabulated, then conclude that the course enrolments are independent of gender
                6. If the computed test statistic is greater than the chi-square tabulated, then conclude that the course enrolments are not independent of gender
                7. If the computed test statistic is less than the chi-square tabulated, then conclude that the course enrolments are not independent of gender
                8. If the computed test statistic is greater than the chi-square tabulated, then conclude that the course enrolments are independent of gender

                A published solution is not available for this question yet.

                Question 11 NAT · 1.0 marks

                DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.
                What is the probability that a bulb from the production lot will give a life of more than 100 hours? (Note: Input your answer rounded **to two decimal places**. For example, if your answer is “1.235” then enter the answer as “1.24”)

                  A published solution is not available for this question yet.

                  Question 12 NAT · 1.0 marks

                  DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.
                  If a randomly selected bulb from the production lot has a life of more than 100 hours, then what is the probability that it was of Type-C? (Note: Input your answer rounded **to two decimal places**. For example, if your answer is “1.235” then enter the answer as “1.24”)

                    A published solution is not available for this question yet.

                    Question 13 NAT · 1.0 marks

                    DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.
                    DMS is giving a replacement warranty for bulbs that last for less than 100 hours of life. The replacement will cost Rs. 8 for every Type-A bulb, Rs. 5 for every Type-B bulb and Rs. 6 for every Type-C bulb. Then, if 2,00,000 bulbs are produced and sold in a year, what would be the total warranty related cost that DMS will expect to incur? (Note: Input your answer in Rupees rounded **to** **two decimal places.** For example, if your answer is “Rupees 100.235” then enter the answer as “100.24”)

                      A published solution is not available for this question yet.

                      Question 14 NAT · 1.0 marks

                      Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects. [[IMAGE:6740ce1c90fdc662_9_3]] Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.
                      How many teddy bears will Ms. Teddy expect to see which will have “4 defects”? (Note: Input your answer rounded **to two decimal places.** For example, if your answer is “1.235” then enter the answer as “1.24”)
                      Source diagram or notation

                        A published solution is not available for this question yet.

                        Question 15 NAT · 1.0 marks

                        Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects. [[IMAGE:6740ce1c90fdc662_9_3]] Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.
                        How many degrees of freedom is/are present for the statistical test to be performed by Ms. Teddy?
                        Source diagram or notation

                          A published solution is not available for this question yet.

                          Question 16 NAT · 2.0 marks

                          Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects. [[IMAGE:6740ce1c90fdc662_9_3]] Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.
                          What is the value of the computed test statistic for the statistical test to be performed by Ms. Teddy? (Note: Input your answer rounded **to two decimal places**. For example, if your answer is “1.235” then enter the answer as “1.24”)
                          Source diagram or notation

                            A published solution is not available for this question yet.

                            Question 17 MSQ · 2.0 marks

                            Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects follows a Poisson distribution. Accordingly, she collected 500 samples from the production and examined them for defects. This information is provided in Table-1. Ms. Teddy observed that her production facility never produced a product that had more than 4 defects. [[IMAGE:6740ce1c90fdc662_9_3]] Table-1: Data on Teddy Bears that were collected Based on the above data, answer the given subquestions.
                            Given Figure-1, which of the following statements is/are true (choose all that is/ are applicable) [[IMAGE:6740ce1c90fdc662_11_4]]
                            Source diagram or notationSource diagram or notation
                            1. The p-value for the Test is anywhere between 5% and 2.5%
                            2. At a 5% confidence level, the Null Hypothesis is Not Rejected
                            3. At a 5% confidence level, the Null Hypothesis is Rejected
                            4. At a 5% significance level, the Null Hypothesis is Not Rejected
                            5. At a 5% significance level, the Null Hypothesis is Rejected
                            6. At a 2.5% significance level, the Tabulated Chi-square value for the test is 12.83
                            7. None of these

                            A published solution is not available for this question yet.