The price of a litre of gasoline follows a normal distribution with a mean of £1.20 and a standard deviation of £0.20. Find the price above which 23% of gas stations exceed (round your answer to the nearest 2 decimal places). A) 0.74 B) 1.96 C) 1.35 D) 2.46 CIN
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- Let R: r1,r2,.,rnR: r1,r2.m represent a data set consists of radii lengths of nn circles. If the mean and the standard deviation of these radii are uu and oo, respectively, which of the followings is true? Select one or more: a. mean of circumferences=4rumean of circumferences=4ru b. CV(radii)=CV(circumferences)CV(radii)=CV(circumferences) c. None d. SD(circumferences)=4nOSD(circumferences)=4to e. mean of areasn=02+µ2Assume ACT and SAT scores have approximately bell-shaped distrubution with the folllowing statistics: ACT: μ= 21 σ= 5 SAT: μ= 1060 , σ= 195 1. create an interval that describes 95% of the SAT data centered about the mean. show work 2. use z-score to determine which is better an ACT score of 26 or a combines SAT score of 1220. Show workAssume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than - 0.51 and draw a sketch of the region. Sketch the region. Choose the correct graph below. O A. OB. OC. D. -0.51 -0.51 0.51 0.51 -0.51 The probability is (Round to four decimal places as needed.)
- Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than 2.21 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. OB. OC. OD. AA AA A -221 2.21 2.21 -2.21 2.21Please helpA Normal Distribution is helpful in determining a. Both A and B b. The percentage of values below a given value c. The percentage of Values above a given value d. Neither A nor B
- The specification limits for a product are 8 cm and 10 cm. A process that produces the product has a mean of 8.5 cm and a standard ?deviation of 0.2 cm. What is the process capability, Cpk .a 1.67 .b 3.33 .C None of them .d 0.83 .e 2.50Both sets of value have an average of 13. Is set A's standard deviation similar, larger, or about the same as set B's? set A: 1 2 3 23 24 25 ser B: 9 10 11 14 16 18Length of snowboards in a boardshop are normally distributed with a mean of 150.4 cm and a standard deviation of 0.7 cm. The figure below shows the distribution of the length of snowboards in a boardshop. Calculate the shaded area under the curve. Express your answer in decimal form with at least two decimal place accuracy. 149.7 151.8 The Length of Snowboards in a Boardshop
- The diameters of ball bearings produced in a manufacturing process can be described using a uniform distribution over the interval 8.5 to 10.5 millimeters. What is the mean diameter of ball bearings produced in this manufacturing process? A. 10 millimeters B. 10.5 millimeters C. 9.5 millimeters D. 9 millimetersThe blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curv Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct. A 19.1% B 30.9% C 38.2% D 69.1% E 68.27% A The percentage of people with blood pressure between 130 and 150 mm. B The percentage of people with blood pressure between 140 and 150 mm. D The percentage of people with blood pressure over 150 mm.Note this subject Measurement Technique