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We have conducted a one sided hypothesis test with a 1% significance level ( = 0.01). We would like to also construct a confidence interval with an equivalent level so that we can compare our results. What should the confidence level of this interval be?

Complete on paper, detail your process Suppose it’s known that 14% of high schoolers drive themselves to school every day. a) If we consider a random sample of 120 high schoolers, would 23 of those students driving themselves be significantly different?  Use

Did you attempt this problem on your paper?   Nial is driving home from work when they notice their GPS tracking average speed.  With nothing better to do, he assumes that the speed follows a roughly normal distribution with a mean of the stated average speed (32 miles per hour) and a standard deviation of about 2 mph. a) On a given trip, what is the probability that Nial’s average speed is above 35mph? b) If the posted speed limit along his route is 30mph, what is the probability that Nial’s trip average is slower than that? c) What is the probability that Nial’s average speed will fall between 29 and 35mph on a given day? c) What average speed would be unusually fast?

Did you attempt this problem on your paper?   Role  // Type of vehicle Midrange Cars Sports Cars SUV Truck Faculty 29 7 24 11 Student 126 41 183 98           Given the information in the table, answer the following. a) How many faculty were interviewed? b) How many of those interviewed drove Sports Cars to school? c) What is the probability that if a random student were selected, they would tell you they drove a truck? d) What is the probability that a random faculty member is selected, they would tell you they drove a truck? e) Compare the last two answers and explain any conclusions you can draw.

Did you attempt this problem on your paper?   Nial is driving home from work when they notice their GPS tracking average speed.  With nothing better to do, he assumes that the speed follows a roughly normal distribution with a mean of the stated average speed (32 miles per hour) and a standard deviation of about 2 mph. a) On a given trip, what is the probability that Nial’s average speed is above 35mph? b) If the posted speed limit along his route is 30mph, what is the probability that Nial’s trip average is slower than that? c) What is the probability that Nial’s average speed will fall between 29 and 35mph on a given day? c) What average speed would be unusually fast?

Did you attempt this problem on your paper?   Role  // Type of vehicle Midrange Cars Sports Cars SUV Truck Faculty 29 7 24 11 Student 126 41 183 98           Given the information in the table, answer the following. a) How many faculty were interviewed? b) How many of those interviewed drove Sports Cars to school? c) What is the probability that if a random student were selected, they would tell you they drove a truck? d) What is the probability that a random faculty member is selected, they would tell you they drove a truck? e) Compare the last two answers and explain any conclusions you can draw.

Match the descriptions of the probability experiment to the distribution it forms.

Match the descriptions of the probability experiment to the distribution it forms.

Suppose Gabby records the number of shots she needs to take until she makes a free throw.  If we assume each shot is independent, would the results after 10 shots form a binomial distribution?  Explain why or why not.

Did you attempt this problem on your paper?   Sebastian is rolling an unfair six-sided die where the probability of rolling a 3 is 24%.  Suppose he rolls this die 15 times and keeps count of the number of 3s that are rolled. a) What is the probability that at the end of the 15 rolls, Sebastian has rolled 3 six times exactly? b)  What is the probability that at the end of the 15 rolls, five or fewer 3s are rolled? c)  What is the probability that at the end of the 15 rolls, Sebastian has rolled at least ten 3s?