Prof Rea’s Exam Question 5. Tara solves the following problem: Suppose the mean wait-time for a telephone reservation agent at a large airline is 43 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait time of 42.3 seconds with a standard deviation of 4.2 seconds. Tara’s Solution: Step 1:

Exam Question 2 A local restaurant has studied the behavior of its clients to predict during which time of day they will be the busiest. Given below is a continuous probability distribution that shows the capacity rate for various times of day.   Write a sentence describing the shaded region on the graph in context. Note that you do not need to find the area of the shaded region.   Write the probability notation for the shaded region on the graph above. Shade the region on the graph that corresponds to the capacity rate of the restaurant before 8 am. Find the capacity rate at the restaurant after 8 am using the complement rule. Write probability notation and the calculation in your answer. Around what times of day are the busiest? Explain why you think this. 

Prof Rea’s Exam Question 4. Show as much work as possible and clearly show all four steps of a hypothesis test to earn credit: Last year, researchers determined that adults in the US spent an average of 152 minutes on social media per day. You wonder if the amount of time people have been spending on social media has increased since last year. You randomly survey 120 adults in the US and find that they spend an average of 145 minutes on social media per day. You compute the sample standard deviation to be 35 minutes. Test your claim using a 5% level of significance. Round all calculated values to three decimal places.

Change your image into ONE pdf file and send it to your computer. Click the RED “Submit Assignment” button. Click the “Choose File” button and select your file. Click the RED “Submit Assignment” button again. Make sure your file was uploaded successfully (you may see confetti!). Click the button at the bottom of this question where it says “I have successfully uploaded my KWL and am ready to click “Submit Quiz” at the bottom of the page.” Click the “Submit Quiz” button at the bottom of the page to finish/submit this practice test.  

Exam Question 4 IQ is normally distributed with a mean of 110 points and a standard deviation of 13 points. Einstein’s IQ is 3.8 standard deviations above the mean. What is Einstein’s IQ? Is it unusual? Explain how and why or why not. Find the proportion of people with an IQ of at most 130. Write probability notation in your answer and write the desmos function you used to do the calculation. Round Z-scores to two decimal places. Round your answer to three decimal places. Alfred wants to know the IQ’s of the people who encompass the middle 60% of the population. His solution is below. Describe two errors he made and explain to him how to fix them.

Innate immunity involves a memory component.

Siderophores are bacterial proteins that compete with the host’s sulfur-transport proteins.

Vaccines are preparations of organisms or fractions of organisms that are designed to make you sick to gain immunity to the infection. 

mRNA vaccines can enter your cell nucleus and change your genetic make-up.

CD4+ T cells are activated by __________________.