Statistics > QUESTIONS & ANSWERS > MAT 300 Foundations of statistics Sophia Final Milestone 2020/2021 Questions/Answers With Rationale (All)
You passed this Milestone 20 questions were answered correctly. 4 questions were answered incorrectly. 1 Michael checked several car dealerships around town for the make and model he wanted to pu ... rchase. He received eight different quotes: $28,345 $26,780 $28,345 $27,785 $29,450 $28,459 $28,700 $29,995 What is the median car price? $28,482.38 $28,402 $28,345 $28,459 RATIONALE The median is found by putting the values in numerical order and selecting the middle value. $26,780 $27,785 $28,345 $28,345 $28,459 $28,700 $29,450 $29,995 For an even number the middle two values are averaged. In this case, the two middle values are $28,345 and $28,459 and their average is = $28,402. CONCEPT Calculating the Center of Data 2 Derek recently took up gardening. To determine what type of fertilizer would keep his plants their healthiest, he took three identical plants and applied a different type of fertilizer to each. Next, Derek observed how much each plant grew. Derek is in effect performing an experiment that contains explanatory and response variables. Which statement best describes the explanatory and response variables involved in this experiment? Plant type is the response variable and fertilizer is the explanatory variable, because different plants will require different amounts of fertilizer. Plant growth is the explanatory variable and fertilizer is the response variable, because fertilizer manipulates plant growth. Fertilizer is the response variable and plant growth is the explanatory variable, because Derek measures plant growth as he changes fertilizers. Fertilizer is the explanatory variable and plant growth is the response variable, because a change in fertilizer makes each plant grow differently. RATIONALE Since each plant is identical, Derek is assuming the amount of growth is dependent on the type of fertilizer used. This means that plant growth is the response (dependent) variable and the fertilizer is the explanatory (independent) variable that explains the plant growth. CONCEPT Importance of Experiments 3 Anthony recently graduated with a bachelor's degree in nursing (BSN) and was looking for a job at a local hospital. As part of his research, he gathered data on the national average pay for a BSN by looking at nursing salaries at hospitals countrywide. Then he looked at the average pay for BSNs at hospitals in his city, as well as cities nearby. What is the sample in Anthony's scenario? The local average salary for a BSN The total number of hospitals in the country The number of hospitals in Anthony's area The national average salary for a BSN RATIONALE The population in the experiment is all the hospitals in the US and the sample are the ones in Anthony's area (in his city, as well as cities nearby). The national average salary and local average salary would be the parameter and statistic of the experiment. CONCEPT Classifying Data by Who You Are Testing 4 What percent of a data set is represented by the total area under a normal distribution curve? 75% 25% 50% 100% RATIONALE Recall that the total area under any distribution curve must equal 1. CONCEPT Normal Distributions and Probability 5 Which probability value indicates that there is statistical significance? 0.2356 0.015 0.9756 0.9078 RATIONAL [Show More]
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