Question

In: Statistics and Probability

State whether each of the statements below is TRUE or FALSE. 1.1. The scientific approach to...

State whether each of the statements below is TRUE or FALSE.
1.1. The scientific approach to decision making can be summarised as: Data Hypothesis Conclusion
1.2. Exponential smoothing is a method suitable for forecasting data with no trend or seasonal pattern.
1.3. Experimentation refers to the manipulation of variables under controlled conditions.
1.4. The linear regression line for a set of data is given as ?= – 17 + 1.2?. It thus follows that there is a direct relationship between ? and ?.
1.5. The outcome of a patient’s blood type test is an example of a binomial experiment.
1.6. Approximately 95% of the area below the normal distribution curve lies between ?=−3 and ?=+3.
1.7. The sales percentage per region per office is quantitative and continuous.
1.8. A frequency table shows the number of occurrences of a variable falling into a specific range or category.
1.9 A correlation coefficient of +1 means perfect negative linear correlation.
1.10 Any sampling method in which the observations are not selected randomly is called non-probability sampling.

Solutions

Expert Solution

Note : allowed to solve the first four questions.

1.1. The scientific approach to decision making can be summarised as: Data Hypothesis Conclusion
Correct answer : False, The scientific approach to decision making can be summarised as Goal Model Data Evaluation Revision


1.2. Exponential smoothing is a method suitable for forecasting data with no trend or seasonal pattern.
Correct answer : True


1.3. Experimentation refers to the manipulation of variables under controlled conditions
Correct answer : True.

1.4. The linear regression line for a set of data is given as ?= – 17 + 1.2?. It thus follows that there is a direct relationship between ? and ?.
Correct answer :
True, x and y are linear correlated. One unit increase in x, increases y by 1.2 units.

1.5. The outcome of a patient’s blood type test is an example of a binomial experiment.
Correct answer: False, a binomial experiment there must be only two outcomes, success and failure but in blood group type there more than 2.

1.6. Approximately 95% of the area below the normal distribution curve lies between ?=−3 and ?=+3.
Correct answer : False - Approximately 95% of the area below the normal distribution curve lies between ?=−2 and ?=+2. 97.5 % of the area lies between z = -3 and z = 3


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