Exam Question 4 Below is a clickable desmos graph of stacked boxplots displaying the distribution of salaries of people who have earned a doctorate and the distribution of salaries of people whose highest degree earned is a bachelor’s degree. Compare and contrast the typical annual salary of the two groups. Speak specifically about the center of each distribution in your explanation.  Compare and contrast the variability in annual salary of the two groups. Speak specifically about the spread of each distribution in your explanation. (Hint: there are two measures of spread that you should include in your answer). Identify the shape of each distribution.

Prof Rea’s Exam Q10 The given scatterplot was generated from data for the first two decades of flu reporting.   The LSR line has equation

Exam Question 10 Let  represent the Covid vaccination rate in Rancho Cucamonga. The null and alternative hypotheses are , . Given this information, write the claim being tested. Sandy tests the claim and finds the P-value to be 0.03. Write the conclusion in plain language if the level of significance is 5%.

Microbial death rates may be affected by _________________

Prof Rea’s Exam Q8 Given below is a clickable scatterplot generated from data taken from 24 parents. The LSR line is graphed on the same plane.    Sample mean Sample standard deviation linear correlation coefficient Number of Years of Education (x) 14.167 3.875 -0.639 Number of Children (y) 3.167 2.120 Use the information in the table above to compute the slope and y-intercept of the LSR line. Then write the equation of the LSR line. Round all values to two decimal places. 

Exam Question 7 The following table shows the number of people who developed Covid-19 in a sample of 94 total participants who developed Covid-19. Participants are organized by their reported gender and whether they received a vaccine or placebo in the trial.  Vaccine Placebo Total Male 4 42 46 Female 3 36 39 Other 1 8 9 Total 8 86 94 What is the probability of someone with a placebo developing Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places.  What is the probability that someone who is female and takes a placebo develops Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places. Given a subject is female, what is the probability that someone who takes a placebo develops Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places. A student answers the following question incorrectly. Explain the mistake they made and answer the question correctly (use proper notation and justify your answer with a calculation).  Question: Is it more likely to meet a man with a placebo that developed Covid-19 or a woman with a placebo that develops Covid-19? Answer: Since there are more men who received the placebo than women, you are more likely to meet a man with a placebo that developed Covid-19. What is the probability that someone who is female or takes a placebo develops Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places.

Prof Rea’s Exam Q3 Vaccine researchers want to know which Covid-19 vaccine result in higher rates of side effects after the second dose. They randomly survey 200 people who got the Pfizer vaccine, and 189 people who got the Moderna vaccine. Of those who had the Pfizer vaccine, 28 reported mild to severe side effects the day after receiving the second dose. Of those who had the Moderna vaccine, 21 reported mild to severe side effects the day after receiving the second dose. The researchers will test the claim that the second dose of the Pfizer vaccine results in a higher rate of side effects than the second dose of the Moderna vaccine at a 1% level of significance. Round all calculated values to three decimal places. Show all steps of a hypothesis test to earn full credit.

Prof Rea’s Exam Question 6. A scientist takes a swab for a patient to determine if they are sick with Strep. The scientist’s null hypothesis is given as follows:  : The patient has no indication that there is any bacteria present in the culture and can therefore be deemed healthy. Describe the type I error that could occur in context.  

Prof Rea’s Exam Q5 Given below is a clickable scatterplot generated from data taken from 24 parents. What does a point on the scatterplot represent?  

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