For the test of whether the true mean car insurance premium for Penn State graduate students is greater than $800,  

Please note that this question consists of six parts. You may use MINITAB to double check your final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question.  Manufacturer of an electric vehicle company claims that on average battery last for 340 miles on a full charge. Recently, the company has been getting many complaints about need for charging of the vehicles in less than 340 miles. Company would like to see if the true average mileage could possibly be well short of their quoted claim. They have collected data from a random sample of 51 electric vehicles manufactured by their company. Average mileage per charge for the sampled vehicles was 330 miles with a standard deviation 25 miles per full charge. Set up the appropriate null and alternative hypotheses for testing the company’s question to address the customer complaints. Make sure to use proper notations when setting up and . Are the conditions to carry out the above stated test are satisfied? If the conditions are satisfied, explain how they were satisfied for this problem rather than simply giving a “yes” or “no” answer. Calculate the test statistic. Show your calculations. Calculate the p-value for the test. You may use MINITAB to find the numerical value of the p-value for the test. However, you MUST clearly write down the probability statement. Write the final conclusion in the context of the problem (use 5% significance level). Instead of doing the above hypothesis test, suppose the company wanted to obtain an interval estimation for the true proportion of vehicles that does not last for 340 miles from a full charge. In the sample of 51 vehicles, battery did not last for 340 miles on full charge for 38 vehicles. Obtain a 95% confidence interval for the true proportion of vehicles that does not last for 340 miles in a full-charge.

I did not give, receive, or use unauthorized assistance from classmates, peers, tutors, websites, AI tools, or any other outside resources while completing this exam.

For the commuter problem above, find the mean and standard deviation using the formulas for the Binomial Distribution. Round your answer to the tenth place, if needed. Mean: [BLANK-1] Standard Deviation: [BLANK-2]

Thirty-eight percent (38%) of people living in the U.S. have type O+ blood. If 3 people living in the U.S. are selected at random, what is the probability at least one has type O+ blood? Round all answers to the nearest whole percent, as applicable. Step 1: True or False: The complement of this event is that none of the 3 have type O+ blood. [BLANK-1] Step 2: What is the probability that 1 randomly selected person does NOT have O+ blood? [BLANK-2]% Step 3: The probability that we randomly select 3 people that do NOT have O+ blood would be: [BLANK-3]% Step 4: Therefore, the probability at least one of the 3 randomly select people had O+ blook is: [BLANK-4]%

I followed all testing procedures and Honorlock requirements for this exam, including completing the room scan, remaining on camera, avoiding unauthorized resources or technology, and independently completing my work.

Let x be the battery pack type purchased by a customer last weekend. Create the probability distribution for x . Enter the values for P ( x ) as decimals 0.___ rounded to the hundredths place (so two digits past decimal). x P ( x ) 2 [BLANK-1] 4 [BLANK-2] 6 [BLANK-3] 8 [BLANK-4]

Exam InstructionsYou will have 100 minutes to complete the exam.The exam consists of matching, multiple-choice, and fill-in-the-blank questions.Honorlock is required for this assessment.The Unit 2 Formula Chart from your notes packet will be provided within the exam. All other formulas, procedures, and problem-solving steps from the unit must be memorized.During the exam:You must complete the required room scan before beginning the exam.Your camera, microphone, and screen activity will be recorded for the duration of the assessment.Position your camera so that the majority of your face is visible while also showing as much of your working area as possible.Students may use:blank scratch paper onlya handheld scientific calculatorthe calculator provided within the exam portalStudents may NOT use:class notesguided notestextbooksinternet resourcesphones, tablets, smart watches, or additional technologyAI tools or outside assistance of any kindAs you complete problems, you should show your scratch work to the camera periodically and again at the conclusion of the exam so that written work can be verified against submitted exam responses.Any discrepancies between Honorlock recordings, scratch work, and submitted exam responses may require a meeting with Dr. Cooper and could result in referral for academic integrity review.

A utility company owns 420 vehicles. There are 120 cars and 300 trucks. The intended use of the vehicle determines its color. The breakdown is shown in the table below. 2.1 Problem 4.png Find the probability that a randomly selected vehicle owned by this company is a blue car or a white truck.

Academic Integrity (10 points)