1. The Final Exam in a sociology class consist of 100 multiple choice questions. Each question has 6 possible answers with only I correct. An unprepared student makes random guesses for all answers. "Provide all code and round to 4 decimal places" a) Find the mean and standard deviation for the number of correct answers. Provide all formulas used. b) Find the probability of obtaining 10 correct questions. =) Would it be unusual for a student to get 10 answers correct? Use a sentence and probability to justify your nswer.

In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Number of ninth graders (Frequency) Mean Test Score High School Glenwood 82 262 Central 92 311 Lincoln 67 168 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was the average of 82, 92, and 67, whic incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place 80.3. Of course, that is Mean of all ninth grader's scores *

B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.

Suppose there are 5 students in a room. The mean age is 19.8 years, and the median age is 19. If the youngest person leaves and is not replaced by another person, what happens to the mean and the median? O The mean and median increase. The mean increases, and the median either increases or stays the same. The mean increases, but it is impossible to determine whether the median increases, decreases, or stays the same. The mean increases, and the median stays the same. The median increases, and the mean either increases or stays the same.

Three students were applying to the same graduate school. They came from schools with different grading systems. Vichet is Kamala is Number Number Student GPA School Average GPA School Standard Deviation Thuy 2.4 2.2 0.5 Vichet 85 96 How many standard deviations is each student away from hiir school average? If the student GPA is higher than his school average, enter this as a positive number. If the student GPA is lower than his school average, enter this as a negative number. Thuy is Number Kamala 8.7 8.2 Table 2.74 20 0.8 standard deviations from Thuy's school average. standard deviations from Vichet's school average. standard deviations from Kamala's school average.

A survey found that 40% of adults in the United States have a pet in their home. Use this information to find the following:  a. Find the probability that when we randomly select 13 adults exactly 7 of them have a pet in their home. Round your answer to two decimal places. b. Find the mean and standard deviation for the number of adults that have a pet in their home when we randomly select 13 adults. Round your answer to two decimal places.