Question 1 10 pts An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they should add the new roller coaster, they poll people at the park to see how many rode the current roller coaster. . As people are leaving the park they randomly sample 600 people. . Out of the 600 people, 400 rode the roller coaster at the park. Construct a 90% confidence interval to represent the proportion of riders who rode the roller coaster at the park. All conditions for inference have been met. O (0.60, 0.90) O (0.62, 0.71) O (0.85, 0.95) O (0.64, 0.70) Question 2 10 pts What is the purpose of constructing a confidence interval? O In order to find a range of values to estimate the population proportion. O In order to find the exact sample proportion. O In order to find a range of values to estimate the sample proportion. O To find the exact value of the population proportion.Question 3 10 pts A test of significance produces a p-value of .06. Which of the following conclusions is appropriate? O Fail to reject Ho at a significance level of 5% O Reject Ha at a significance level of 5% O Fail to reject Ha at a significance level of 5% O Reject Ho at a significance level of 5% Question 4 10 pts . A company claims that 9% of the items produced on a new machine are defective. . The factory will get rid of the machine if the data indicates that the proportion of defective items is more than 9%. . They take a random sample of 300 items and 50 are defective. What null hypothesis is appropriate? O Ho: p=0.17 O Ho: p0.09Question 5 10 pts Calculate 7C2. Question 6 10 pts Using the Binomial Theorem, which is the fourth term of the expansion of (2a: 3y)6? O 2160x'4y2 O -4320)(3y3 O -432x3y3 O -108x3y3 Question 7 10 pts A college professor gives his students an hour to get ready for speeches. Most students use almost all the time allowed, and relatively few students nish early, so the distribution of times that it takes students to nish the exam is strongly skewed to the left. The mean time they prepare is 58 minutes with a standard deviation of 6 minutes. We can assume that the students in each sample are independent. Suppose we took a sample of 55 of the professors' students and found the meantime they prepared. Describe the shape of the distribution of the sample means. 0 Skewed left because of the central limit theorem 0 Approximately normal because of the binomial theorem 0 Approximately normal because of the central limit theorem 0 Skewed left because population is also skewed left question 6 10 pts The length of human pregnancies varies normally with a mean of 266 days and a standard deviation of 16 days. What percentage of pregnancies last longer than 282 days? 0 5% O 68% O 32% O 16% Question 9 10 pts The length of human pregnancies varies normally with a mean of 266 days and a standard deviation of 16 days. What percentage of pregnancies last longer than 298 days? 0 .3% O 2.5% O 5% O .15% Question 10 10 pts Based on the given frequency table, what is the shape of the distribution? Number of Siblings Frequency O uniform 0 normal 0 left skewed 0 right skewed