Question 1 1 pts The weights of a certain kind of bat are known to follow a normal distribution with mean of 2.0 grams and standard deviation of 0.25 grams. Find the probability that a random bat weighs between 2.1 grams and 2.7 grams. 0 0.576 o 0.115 O 0.342 O not enough information is given Question 2 1 pts Braking distances of sedans are known to follow a normal distribution as shown in the diagram below. Braking Distance of a Sedan \"0 115 120 125 130 135 I40 Braking distance (in feet) What braking distance represents the 95th percentile? C) 113.2 Q 1332 C) 120.7 0 135.3 Question 3 1 pts Penn State wants to only admit students in the top 15% with regards to SAT scores. SAT scores are known to follow a normal distribution with mean SAT score of 2700 and standard deviation of 400. What SAT score should Penn State use as a cutoff to only admit the top 15% of those taking the SAT? Round your answer to the nearest whole number. O 3100 O 2285 O 2300 O 3115 Question 4 1 pts In a random sample of 28 sports cars, the average annual fuel cost was $2929 and the standard deviation was $786. Construct a 90% confidence interval for u. Interpret the results. Assume the annual fuel costs are normally distributed. C)(2676,3182) C)(2685,3173) ()(2624,3234) C)(2638,3220) Question 5 1 pts You want to estimate ,with 95% condence, the population proportion of adults who think they should be saving more money. Your estimate should be accurate within 5% of the population proportion. Find the minimum sample size needed, based on a prior study that found that 63% of adults think they should be saving more money. 0 359 0 not enough information is given 0 122 Q 385