0 Question 12 v E 1!2 pts '0 2-3 ('3 97 (9 Beta Score on last try: 1 of 2 pts. See Details for more. > Next question 3 Get a similar question You can retry this question below The amount of time to complete a physical activity in a PE class is approximately normally distributed with a mean of 33.3 seconds and a standard deviation of 5.8 seconds. a) What is the probability that a randomly chosen student completes the activity in less than 27.9 seconds? D.175 o' b) What is the probability that a randomly chosen student completes the activity in more than 37.5 seconds? 0.235J o' c) What proportion of students take between 29.8 and 38.2 seconds to complete the activity? d) 85% of all students finish the activity in less than C] seconds. 0 Question 14 v E Oil pts '0 3 ('3 95 (9 Details Based on historical data, your manager believes that 27% of the company's orders come from first-time customers. A random sample of 163 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33? Answer = C] (Enter your answer as a number accurate to 4 decimal places.) Question 15 v IZ. HZ pts '0 2 3 99 (9 Details Score on last try: 1 of 2 pts. See Details for more. > Next question 3 Get a similar question You can retry this question below A psychologist is interested in constructing a 90% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. Of those randomly selected, 65 of the 808 people agreed with this theory. a. With 90% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is betweenSand C]. Round to 3 decimal places. Question 16 1/2 pts 9 2 99 0 Details Score on last try: 1 of 2 pts. See Details for more. > Next question Get a similar question You can retry this question below Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.5 Ho :u = 0.5 Ho : u = 0.5 Ho :p = 0.5 Ho: / = 0.5 x Hi :p + 0.5 H1 :u 0.5 H1:u > 0.5 Ho: p = 0.5 H1 :p Score on last try: 1 of 1 pts. See Details for more. > Next question 3 Get a similar question You can retry this question below The data below was collected from manufacturer advertisements of their vehicles horsepower and highway gas mileage {mpg}. Use this data to answer the following questions. 158 250 3-10 350 390 190 220 33 28 15 1? 11 35 42 x Y 1. Find the the correlation coefficient. Round your final answer to four decimal places. 1' = 1.2?6? X 2. Write the regression equation below. Round all numbers to four decimal places. = 57.9874 + D.11851: o' 3. Using the data shown above,predict the the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your nal answer to two decimal places. 31.32 I 0' 4. What percentage of variation in highway gas mileage [mpg] can be explained by horsepower? Round your nal answer to two decimal places. :% t!) . Question 19 Juwan is investigating how long his phone's battery lasts (in hours) for various brightness of 0-100). His data is displayed in the table and graph below. Brightness Level (x) 43 51 52 59 60 76 79 90 Hours (y) 3 4.7 4.4 3.9 3.8 2.5 2.7 2.6 6 5 4 Hours 2 10 20 30 40 50 60 70 80 90 100 11 Brightness Level What is the residual for the point (51,4.7)? Round to 4 decimal places. hours