(a) Steel used for water pipelines is coated on the inside with cement mortar to prevent corrosion. In an experiment of the mortar coatings of a pipeline used in a water project, the mortar thickness was measured for a very large number of specimens. The mean and standard deviation were found to be 0.62 inch and 0.13 inch, respectively, and the thickness was found to be normally distributed. (i) What proportion of the pipelines that a randomly selected has the mortar thickness between 0.55 and 0.6 inch?
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- A survey found that women's heights are normally distributed with mean 62.7 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.4 in. and standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 5.08 %. (Round to two decimal places as needed.) Since most men do not meet the height requirement, it is likely that most of the characters are women. b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of (Round to…A school psychologist is interested in whether a particular remedial math training program helps improve students’ math skills. He randomly assigns 18 students to one of two groups: remedial training or no intervention. At the end of the training program, he administers a 100 point math test to all students, and counts the number of errors made by students in each group. These data (number of errors per student) are shown below. NO INTERVENTION REMEDIAL TRAINING 18 12 6 17 8 13 13 15 12 19 6 22 10 19…b.
- A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 2.5 in. The survey also found that men's heights are hormally distributed with mean 68.3 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at he amusement park? The percentage of men who meet the height requirement is %. Round to two decimal places as needed.)To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)An engineer working for a manufacturer of electronic components takes a large number of measurements of a particular dimension of components from the production line. She finds that the distribution of dimensions is normal, with a mean of 2.340 cm and a standard deviation of 0.056 cm. a.) What percentage of measurements will be greater than 2.45 cm.? b.) What percentage of dimensions will be between 2.25 cm. and 2.45 cm.? c.) What value of the dimension will not be exceeded by 98% of the components?
- The diameter of a spindle in a small motor is supposed to be 4.4 millimeters (mm) with a standard deviation of 0.11 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.27 mm. H0: Ha: (b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $20.95 with standard deviation $0.78. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $18.31. H0: Ha:A survey found that women's heights are normally distributed with mean 62.4 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is nothing%. (Round to two decimal places as needed.) Since most men ▼ do not meet meet the height requirement, it is likely that most of the characters are ▼ b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a…Rivets. A company that manufactures rivets believesthe shear strength of the rivets they manufacture followsa Normal model with a mean breaking strength of 950pounds and a standard deviation of 40 pounds.a) What percentage of rivets selected at random willbreak when tested under a 900-pound load? b) You’re trying to improve the rivets and want to exam-ine some that fail. Use a simulation to estimate how many rivets you might need to test in order to findthree that fail at 900 pounds (or below).
- According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of μ=17.47 mm and a standard deviation of σ=1.95 mm. Complete parts (a) through (d) below. a. Find the percentage of the tarantulas that have a carapace length between 15mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is nothing %.A survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation 3.5 in. The survey also found that men's heights are normally distributed with mean 69.8 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is:3. In a normal frequency distribution of serum sodium concentrations, the mean is 141 mEq/L and the standard deviation is 3.2 mEq/L. Which of the following most closely represents the percentage of values in the interval between 137.8 mEq/L and 144.2 mEq/L? OA) 25% B) 50% C) 65% OD) 95% OE) 99% 456