Question 14 (1 point) Once a week, Bill rows his boat from the island where he lives to the mainland. The journey time, X minutes, is normally distributed with mean µ and standard deviation O. Given that P(X < 20) = 0.63 and P(X < 30) = 0.95 find mean µ. Write your answer in 3 decimal places. %3D

Question 2 Save On a history test Patrick received a grade of 43 out of 50. The class mean was 35 with a standard deviation of 6. His girlfriend Kristin, in another section, received a grade of 87 out of 100. Her class mean was 75 with a standard deviation of 10. z-score for Patrick's grade (round to two decimal places) z-score for Kristin's grade = (round to two decimal places) Who received the higher grade relative to their respective classes? Why?

Entered Answer Preview Result 23.5 23.5 correct 9.5 9.5 incorrect At least one of the answers above is NOT correct. (a) The temperature of a 22 m long metal bar is 14°C at one end and 33°C at the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar? Tave = 23.5 °C (b) Explain why there must be a point on the bar where the temperature is the same as the average, and find it. [Let x be the distance along the bar from zero.] x = 9.5 m along the bar.

The Z-score tells you the number of standard deviations away from the mean (and X-μ can be used to find the in what direction) a data value is. The formula: Z Z-score for a single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. σ The formula X = μ+Z. can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…

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The discharge of suspended solids from a phosphate mine is normally distributed, with a mean daily discharge of 27 milligrams per liter (mg/l) and a standard deviation of 14 mg/l. On what proportion of days will the daily discharge exceed 60 mg/l? (Round your answer to four decimal places.) X USE SALT

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> Question 4 The weights of a certain dog breed are approximately normally distributed with a mean of µ = 48 pounds, and a standard deviation of o = 6 pounds. Fill in the indicated boxes. H= 48 o = 6 H- 30 H-20 u+ 20 u+ 3Ơ A dog of this breed weighs 49 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed. A dog has a z-score of 0.99. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of -0.99. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds Question Help: E Video 9 Message instructor Submit Question to search hp 远

Solve for the y-intercept of the trend line that passes through the data set. Show your work and explain the steps you used to solve. Round your answer to the nearest hundredth.