3. The thickness of a road is normally distributed with standard deviation 5.8 cm. A random sample of 15 roads were taken. If the probability that the sample mean road thickness is at least 10.2 cm is 0.82, what is the average thickness of all the roads?
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- For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If a women aged 18-24 is randomly selected, find the probability that her mean systolic blood pressure is between 119 and 122 mm HG.answer options..a) 0.6700b)0.0833c)0.1154d) 0.91673. The thickness of a road is nommally distribuned with standard deviation 5.8 cm. A random sample of 15 roads were taken If the probability that the sample mean road thickness is at least 10.2 cm is K2, whut is the average thickness of all the roads3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
- Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.Suppose a population distribution has a mean = 150 and a standard deviation s = 30, and you draw a simple random sample of N = 100 cases. What is the probability that the mean is between 147 and 153?Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 48 feet. We randomly sample 49 fly balls. Part A. B. C. are listed in the included images.
- A population has a normal distribution with a mean of 32.9 and a standard deviation of 35.2. Draw 4. a normal curve with labels, shading, and what you entered into the calculator for full credit. Round your answer to 4 decimal places. Find the probability that a randomly selected item is between 27.5 and 40.6 a) Find the probability that a sample size of 25 is randomly selected and is less than 28.2. b)The weights of rabbits on an island, measured in pounds, are normally distributed with mean 4.5 and standard deviation 3.1. In each case, identify the calculator command that would answer the given question. The chances that a randomly selected rabbit weighs at least 6 pounds. The chances that 15 randomly selected rabbits have an average weight of at least 6 pounds. The chances that 15 randomly selected rabbits have a total weight less than 50 pounds.Solve the problem.Assume that male Siberian huskies' weights are normally distributed with a mean of 63.6 pounds and a standard deviation of 2.5 pounds. If 90 male Siberian huskies are randomly selected, find the probability that they have a mean weight between 62.9 pounds and 64.0 pounds.
- Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.9918 O B. 0.0082 O C. 0.2881 O D. 0.8989 ick to select your answer. DELL1) The mean and standard deviation of a population are 200 and 20, respectively.The probability of selecting one data value less than 190 is ____ %. (Round answer to the nearest percent (whole number). Do not write the % sign.) 2) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at least 25.2 hours of television is? Give answer to the nearest whole number, not a percent. 3) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at most 22.5 hours of television is? . Give…III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.