Please see attached files. Total of 43 questions.
Directions. Solve each of the following problems. Please use this document to provide your neatly formatted solutions containing all relevant steps. Use the following information to answer the next four questions. This box plot represents scores on the final exam for a physics class. Question 1. What is the median for this data, and how do you know? Place your answers here. Question 2. What are the first and third quartiles for this data, and how do you know? Place your answers here. Question 3. What is the interquartile range for this data? Place your answers here. Question 4. What is the range for this data? Place your answers here. Use the following information to answer the next three questions. You conduct a poll of 30 students to see how many classes they are taking this term. Your results are: 1; 1; 1; 1 2; 2; 2; 2; 2 3; 3; 3; 3; 3; 3; 3; 3 4; 4; 4; 4; 4; 4; 4; 4; 4 5; 5; 5; 5 Question 5. You decide to construct a histogram of this data. What will be the range of your first bar, and what will be the central point? Place your answers here. Question 6. What will be the widths and central points of the other bars? Place your answers here. Question 7. Which bar in this histogram will be the tallest, and what will be its height? Place your answers here. Use the following information to answer the next three questions. The value, in thousands of dollars, for houses on a block, are: 45; 47; 47.5; 51; 53.5; 125. Question 8. Calculate the mean for this data. Place your answers here. Question 9. Calculate the median for this data. Place your answers here. Question 10. Which do you think better reflects the average value of the homes on this block? Why? Place your answers here. Use the following information to answer the next question. The following contingency table displays the number of students who report studying at least 15 hours per week, and how many made the honor roll in the past semester. Question 11. Complete the table and find . Honor roll No honor roll Total Study at least 15 hours/week 200 Study less than 15 hours/week 125 193 Total 1,000 Place your answers here. Directions. Solve each of the following problems. Please use this document to provide your neatly formatted solutions containing all relevant steps. Question 1. In a binomial experiment, if , what does equal? How do you know? Place your answers here. Question 2. What are the required characteristics of a binomial experiment? Place your answers here. Question 3. Joe conducts an experiment to see how many times he has to flip a coin before he gets four heads in a row. Does this qualify as a binomial experiment? Why or why not? Place your answers here. Use the following information to answer the next three problems. In a particular community, 65% of households include at least one person who has graduated from college. You randomly sample 100 households in this community. Let X = the number of households including at least one college graduate. Question 4. Describe the probability distribution of X. Place your answers here. Question 5. What is the mean of X? Place your answers here. Question 6. What is the standard deviation of X? Place your answers here. Question 7. For a continuous probability function, . What is , and how do you know? Place your answers here. Use the following information to answer the next four problems. The number of minutes that a patient waits at a medical clinic to see a doctor is represented by a uniform distribution between zero and 30 minutes, inclusive. Question 8. If X equals the number of minutes a person waits, what is the distribution of X? Place your answers here. Question 9. Write the probability density function for this distribution. Place your answers here. Question 10. What is the mean and standard deviation for waiting time? Place your answers here. Question 11. What is the probability that a patient waits less than ten minutes? Place your answers here. Directions. Solve each of the following problems. Please use this document to provide your neatly formatted solutions containing all relevant steps. Use the following information for the next six problems. According to the World Health Organization, distribution of height in centimeters for girls aged five years and no months has the distribution: X ~ N(109, 4.5). Question 1. What is the z-score for a height of 112 inches? Place your answers here. Question 2. What is the z-score for a height of 100 centimeters? Place your answers here. Question 3. Find the z-score for a height of 105 centimeters and explain what that means in the context of the population. Place your answers here. Question 4. What height corresponds to a z-score of 1.5 in this population? Place your answers here. Question 5. Using the empirical rule, we expect about 68 percent of the values in a normal distribution to lie within one standard deviation above or below the mean. What does this mean, in terms of a specific range of values, for this distribution? Place your answers here. Question 6. Using the empirical rule, about what percent of heights in this distribution do you expect to be between 95.5 cm and 122.5 cm? Place your answers here. Question 7. What does the law of large numbers say about the relationship between the sample mean and the population mean? Place your answers here. Directions. Solve each of the following problems. Please use this document to provide your neatly formatted solutions containing all relevant steps. Question 1. In your state, 58% of registered voters in a community are registered as males. You want to conduct a study to see if this also holds up in your community. State the null and alternative hypotheses to test this. Place your answers here. Question 2. You believe that at least 58% of registered voters in a community are registered as females. State the null and alternative hypotheses to test this. Place your answers here. Question 3. The mean household value in a city is $268,000. You believe that the mean household value in a particular neighborhood is lower than the city average. Write the null and alternative hypotheses to test this. Place your answers here. Question 4. State the appropriate alternative hypothesis to this null hypothesis: H0: μ = 107 Place your answers here. Question 5. If you reject H0 when H0 is correct, what type of error is this? Why? Place your answers here. Question 6. If you fail to reject H0 when H0 is false, what type of error is this? Why? Place your answers here. Question 7. What is the relationship between the Type II error and the power of a test? Place your answers here. Question 8. You are conducting a study with an α level of 0.05. If you get a result with a p-value of 0.07, what will be your decision? Why? Place your answers here. Question 9. You conduct a study, based on a sample drawn from a normally distributed population with a known variance, with the following hypotheses: Will you conduct a one-tailed or two-tailed test? Why? Place your answers here. Question 10. You are conducting a study with α = 0.01. If you get a result with a p-value of 0.006, what will be your decision? Why? Place your answers here. Directions. Solve each of the following problems. Please use this document to provide your neatly formatted solutions containing all relevant steps. Use the following information to answer the next four exercises. You are considering conducting a chi-square test of independence for the data in this table, which displays data about cell phone ownership for freshman and seniors at a high school. Your null hypothesis is that cell phone ownership is independent of class standing. Question 1. Compute the expected values for the cells. Cell=Yes Cell=No Freshman 100 150 Senior 200 50 Place your answers here. Question 2. Compute for each cell, where O = observed and E= expected. Place your answers here. Question 3. What is the chi-square statistic and degrees of freedom for this study? Place your answers here. Question 4. At the α = 0.5 significance level, what is your decision regarding the null hypothesis? Should you calculate Cramer’s V? If so, what does it tell you? Place your answers here.