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 Question 6 1 pts From a random sample of 30 days, gasoline prices showed an average of $3.63 per gallon. Assume the population standard deviation is $0.71. Find a 99% condence interval for the population mean price of gasoline. 0 (330,396) 0 cannot be determined 0 (357,3.69) O (3.27, 3.99) Question 7 1 pts Cholesterol Contents of Cheese A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of cheese. The estimate must be within 0.5 milligram of the population mean. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 2.8 milligrams. Q 209 O 131 O 121 O 1659 Question 8 1 pts The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table. Maximum weight, x Time, y 175 1.81 185 1.78 150 2.03 205 1.41 155 2.03 190 1.61 180 1.68 160 1.88 185 1.62 185 1.65 155 1.95 175 1.89 Calculate the correlation coefficient "r" for this dataset O 0.73 O -0.73 O -0.95 O 0.95Question 9 1 pts The maximum weights (in kilograms) for which one repetition of a half squat can he performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table. Maximum weight, x Time, 3; 175 1.81 185 1.78 150 2.03 205 1.41 155 2.03 190 1.61 180 1.68 160 1.88 185 1.62 185 1.65 155 1.95 175 1.89 For this dataset, determine the best t linear regression model and then use this model to predict the time to run a sprint for a soccer player that can lift a weight of 200 kilograms Q 1.41 O 1.51 O 1.61 O 2.01 Question 10 1 pts Travel In a survey of 2230 U.S. adults, 1272 think that air travel is much more reliable than taking cruises. Construct a 95% confidence interval for the population proportion of US. adults who think that air travel is much more reliable than taking cruises. O (0.553, 0.588) O (0.550, 0.591) O (0.543, 0.597) O (0.548 , 0.611)