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Name Chapter 1 – Alternate Assessment You must complete this assessment on your own

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Name Chapter 1 – Alternate Assessment You must complete this assessment on your own. You may use your notes and the textbook in Lumen Ohm. However, you may not receive help from a tutor, the Internet, or another person. For each question you must show ALL work. If there are calculations, show exactly what you put into the calculator or take a screenshot of the Desmos calculator. Use a different color for your answers. Notational Symbols that can be copied and pasted ? ? µ ? ? p? 1. If babies' weights are normally distributed with a mean of 3.23 kg and a standard deviation of 0.87 kg, find the range of weights that contain approximately…. (3 pts) (a) 68% of all data (b) 95% of all data (c) According to the 2 Standard Deviation Rule, data values that are more than 2 standard deviations away from the mean of the distribution are considered to be "unusually high" or "unusually low." According to this rule... baby weights that are lower than _____ kg would be considered "unusually low." baby weights that are higher than _____ kg would be considered "unusually high." 2. The population has a parameter of ? = 0.8. p? = 1116 1200 We collect a sample and our sample statistic is = 0.93 Use the given information above to identify which values should be entered into the One Proportion Applet in order to create a simulated distribution of 100 sample statistics. (4 pts) (a) Probability of success (π): (b) Sample size (n): (c) Number of samples: (d) While in the "Number of Heads" mode, the value to enter in the "As extreme as" box: (e) While in the "Number of Heads" mode, the value to enter in the "As extreme as" box: 3. Amanda conducts a study to try to determine if people who were exposed to an internet advertisement for Primo Candy Bars have a higher average (mean) spending amount on purchasing Primo Candy Bars than the people who weren’t exposed to the advertisement. (8 pts) (a) Write a complete sentence in context to describe the categorical variable in this study. (b) Give two example data values you could reasonably obtain from the categorical variable that you described in part (a). (c) Write a complete sentence in context to describe the quantitative variable in this study. (d) Give two example data values you could reasonably obtain from the quantitative variable that you described in part (c). 4. 5. Identify which value below is the best estimate of the standard deviation of this distribution of sample statistics. • 0.75 • 0.60 • 0.68 • 0.07 • 0.14 Identify the value that is the best estimate of the standard error of the pictured distribution • 65 • 10 • 70 • 60 • 5 6. The One Proportion applet was used to create a simulated distribution of 1000 sample statistics. The resulting simulated distribution is shown above. (5 pts) (a) What is the value of the sample statistic? (b) What symbol is used for the statistic in this situation? (c) Describe the parameter in both words and symbols. (d) Finish this sentence: In a population that has the distribution of sample statistics above, if we collect a random sample from that population as this sample was collected, then the probability of getting a sample statistic like __________ or higher is __________ . (e) What conclusion should we make based on this distribution of sample statistics? The observed sample statistic is a ______________________sample statistic to get. 7. Suppose 40% of people in a city support enacting a new law. Suppose I randomly pick 175 people from the city and find that 86 of them support enacting the new law. I want to create a simulated distribution of sample statistics for this situation, and use it to determine if my observed sample statistic is unusual. (4pts) (a) When we go to the One Proportion applet, what value should be entered under "Probability of heads" (or "Probability of success ? ")? (b) In the applet, what value should be entered under "Number of tosses" (or "Sample size (n)") (c) The simulated distribution of sample statistics will be centered at approximately what value when we click on "Proportion of successes"? (d) The simulated distribution of sample statistics will be centered at approximately what value when we click on "Number of successes"? 8. Use the following set of sample data with 8 data values to answer the questions. You can copy and paste the data into the Descriptive Statistics applet. (5 pts) Home Sale Price in Dollars 173688.3 71971 210381.6 93857.9 277547.3 73081.2 264401.6 330229.3 (a) What is the mean of the sample of data? Round to 2 places. (b) What is the median of the sample of data? Round to 2 places. (c) (Fill in the blanks.)Half of the sample data is more than _____________and half the sample data is less than _______________. (d) Now suppose there were one additional data value added to this list of original sample data (the data given in the table). Suppose this additional data value that is added is a value that is much, much smaller than all the other values in the given table. Describe, using complete sentence(s), the impact that this change in the data would have on the MEDIAN of the sample of data. (e) Now suppose there were one additional data value added to this list of original sample data (the data given in the table). Suppose this additional data value that is added is a value that is much, much smaller than all the other values in the given table. Describe, using complete sentence(s), the impact that this change in the data would have on the MEAN of the sample of data. 9. A chocolate company claims that their bags of chocolate chips contain an average of 330 chocolate chips per bag. Samara randomly selects 15 bags of chocolate chips, and she calculates an average of 344.8 chips per bag. (6 pts) a) Is the data collected from Samara's sample categorical, or is it quantitative? b) Write a complete sentence to describe (in context) the population of interest in Samara's study. c) Write a complete sentence to describe (in context) the parameter of interest that Samara is attempting to understand. d) Identify the symbol for the parameter of interest. e) Give the value of the statistic with its symbol. f) Give the value of the sample size with its symbol. 10. The average (mean) of a population of numbers is 9500. An applet was used to create a simulated distribution of 1000 sample statistics from this population, and we collect a random sample from that population and try to understand if our observed sample is usual/expected, or if it is unusual. The resulting simulated distribution is shown above. Use the picture to the left to answer the questions: (4pts) a) What is the symbol and the value of the observed sample statistic? b) Accurately state the population mean with its symbol. c) The proportion of simulated statistics that are like our observed statistic or more extreme is.. d) Finish this sentence: In a population that has a mean of 9500, if we collect a random sample from that population as was collected in this example, then the probability of getting a sample statistic like ___________________ . 11. Your friend claims to be psychic. She agrees to participate in an experiment where she will try to correctly identify whether a playing card is a king or if it is a queen when picking between two unseen playing cards: a king and a queen. You randomly shuffle the two cards and then pick one up so that only you can see the card. Your friend then attempts to tell you which card you picked (either a king or a queen). You repeat this experiment over and over, to get a total of 40 attempts at identifying a card correctly. Each time you conduct a trial, you write down if your friend identified the card correctly or not. Your friend identifies correctly 24 times out of 40 total trials (your friend got 60% of her trials correct). To conduct a statistical analysis, a distribution of 100 simulated sample statistics was generated using a computer applet as seen below. This distribution shows the simulated statistics that we might expect to see when randomly picking from 2 cards if it were true that the person was truly randomly picking (and was not psychic). (6 pts) a) Write a complete sentence to clearly identify/explain the contextual meaning of each dot in the distribution. b) Identify the value of the observed sample statistic with its symbol. c) Identify the standard error of the simulated distribution of sample statistics. d) Identifying the value that would correctly complete the sentence. According to the 2 Standard Deviation Rule, it would be unusual for your friend to correctly identify the card in more than ________ of her 40 trials. e) According to the 2 Standard Deviation Rule, is the observed sample statistic "usual/expected", or is it "unusual?" f) Write a full conclusion that should be made based on the statistical analysis.