1999 35 2002 86.8 2001 29 2004 89.8 2003 22 2006 90.7 2005 23 2008 97.4 2007 20 2010 106.5 2009 20 2012 111.4 Svloe 12 1at Source: Centers for 111.5 2014 Disease Control and Source: www.tvbythenumbers.com Prevention. For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid- point M of line segment PQ. See Examples 2 and 5(a). 15. P(-5,-6), Q(7, -1) 16. P(-4, 3), Q(2,-5) 17. P(8, 2), Q(3, 5) 18. P(-8, 4), Q(3, -5) 20. P(6, -2), Q(4, 6) 19. P(-6, -5), Q(6, 10) P-Vi.8V3), o(si.-V3) P(3V2, 4V5), (V2, -V5) 22. 21.
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- A candy manufacturer selects mints at random from the production line and weighs them. For one week, the day shift weighed n1 = 194 mints and the night shift weighed n2 = 162 mints. The numbers of these mints that weighed at most 21 grams was y1 = 28 for the day shift and y2 = 11 for the night shift. Let p1 and p2 denote the proportions of mints that weigh at most 21 grams for the day and night shifts, respectively. a) Give a point estimate for p1-p2 b) Find and interpret a 95% confidence interval for p1-p2 c) Can you claim a difference between difference between proportions of mints that weight at most 21g for the day and night shifts?According to the picture attached of the resdiual plot, pelase select the statement that is true. All the assumptions are met. There is problem of heteroscedasticity. There is problem of collinearity. We should include higher order terms.A machine to manufacture fasteners has a setup cost of $1,500 and a unit cost of $0.003 for each fastener manufactured. A newer machine has a setup cost of $1,750 but a unit cost of only $0.0025 for each fastener manufactured. Find the break point. (Round your answer to the nearest whole unit.)
- Find the point P on the line y=3x that is closest to the point (40,0). What is the least distance between P and (40,0)?A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a bestfitting line to predict how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y , for 12 different semesters.A scatterplot of the data along with the best fitting line is presented below. a. The correlation between the two variables is r = .89. Calculate and interpret the value of r2.b. The equation for the best fitting line is Y = 9.30 + 0.673X. Explain and interpret the value of 9.30.c. How many books should the store order for a class of 50 students? Would you trust this prediction?A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 d. Calculate 95% confidence intervals for the estimate of the difference.
- A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 c. Conduct the test. Make a decision about the null hypothesis, interpret your results and…A neuroscientist hypothesizes that she found the region in the rat brain responsible for the motion of the right paw. She trains 20 right-handed rats in a specific task to push a lever to to receive a tasty pellet of food. After the all the rats learn the behavior, she randomly selects 10 of them a does a surgery to place an implant on the brains of rats through which a lazer can deactivate the said region in the brain. After the rats heal, she runs all the rats through the same task. While 10 of them went through the experiment unbothered, the other 10 who had the implant were stimulated by a lazer through their implants to disrupt the functioning of the hypothesized critical region. The neuroscientist collected the amount of rewards(number of food pellets received)the rats in both groups were able to collect:Xsurgery: 2, 4, 3, 1, 5, 3, 4, 1, 3, 4Xcontrol: 5, 6, 4, 6, 8, 9, 2, 5, 6, 3 A. Name the appropriate statistical procedure to apply. B. Identify the predictor and predicted…The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of thecanteen arrive at an average of 50 an hour. Suppose that management wants toevaluate the desirability of opening a second order-processing station so that twocustomers can be served simultaneously. Assume a single waiting line with the firstcustomer in line moving to the first available server.a. What is the average arrival time in minutes of customers?b. What is the average service time in minutes of the canteen?c. What is the probability that the canteen has a customer?d. What is the probability that the canteen does not have any customer?e. How long would the line be on average (average number of customers in thesystem)?f. How many people are waiting to be served on average?g. How long in minutes would it take the customer from lining up until he leaves thewaiting line?h. How long in minutes would a customer wait to be served on average?i. Find the probability that there are 7 customers in the…
- An explosion at a construction site could haveoccurred as the result of static electricity, malfunctioningof equipment, carelessness, or sabotage. Interviews withconstruction engineers analyzing the risks involved ledto the estimates that such an explosion would occur withprobability 0.25 as a result of static electricity, 0.20 as aresult of malfunctioning of equipment, 0.40 as a result ofcarelessness, and 0.75 as a result of sabotage. It is alsofelt that the prior probabilities of the four causes of theexplosion are 0.20, 0.40, 0.25, and 0.15. Based on all thisinformation, what is(a) the most likely cause of the explosion;(b) the least likely cause of the explosion?The following chart shows monthly figures for Apple stock in 2010.† The graph contains a series of 12 points connected by curves. The curves and the approximate points they connect are as follows. The curves start at (Jan-10, 211.98), go down and right to (Feb-10, 195.46), go up and right to (Mar-10, 218.95), go up and right to (Apr-10, 235.97), go down and right to (May-10, 235.86), go up and right to (Jun-10, 255.96), go down and right to (Jul-10, 246.94), go up and right to (Aug-10, 260.09), go down and right to (Sep-10, 258.77), go up and right to (Oct-10, 294.07), go up and right to (Nov-10, 317.13), and go up and right to stop at (Dec-10, 317.44). Marked are the following points on the chart. Jan. 10 Feb. 10 Mar. 10 Apr. 10 May 10 June 10 211.98 195.46 218.95 235.97 235.86 255.96 July 10 Aug. 10 Sep. 10 Oct. 10 Nov. 10 Dec. 10 246.94 260.09 258.77 294.07 317.13 317.44 Calculate to the nearest 0.01% your monthly percentage return (on a simple interest basis) if you…The following chart shows monthly figures for Apple stock in 2010.† The graph contains a series of 12 points connected by curves. The curves and the approximate points they connect are as follows. The curves start at (Jan-10, 211.98), go down and right to (Feb-10, 195.46), go up and right to (Mar-10, 218.95), go up and right to (Apr-10, 235.97), go down and right to (May-10, 235.86), go up and right to (Jun-10, 255.96), go down and right to (Jul-10, 246.94), go up and right to (Aug-10, 260.09), go down and right to (Sep-10, 258.77), go up and right to (Oct-10, 294.07), go up and right to (Nov-10, 317.13), and go up and right to stop at (Dec-10, 317.44). Marked are the following points on the chart. Jan. 10 Feb. 10 Mar. 10 Apr. 10 May 10 June 10 211.98 195.46 218.95 235.97 235.86 255.96 July 10 Aug. 10 Sep. 10 Oct. 10 Nov. 10 Dec. 10 246.94 260.09 258.77 294.07 317.13 317.44 Suppose you bought Apple stock in May. If you later sold at one of the marked dates on the chart,…