A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2.5 ohms. a) What is the probability that the sample mean resistance for random sample of 49 resistors is between 39 and 40.8? b) If the sample size had been 15 rather than 49, explain why the procedure to calculate the probability in part (a) is not applicable.
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A certain machine makes electrical resistors having a
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- The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,469. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. PLEASE ROUND TO 4 DECIMAL PLACES THANK YOU! B. Find the probability that a randomly selected acre in the forest has fewer than 52,999 ants. c. Find the probability that a randomly selected acre has between 34,368 and 46,431 ants. d. Find the first quartile. ants (round your answer to a whole number)The Gas company bought a new machine. The weight of metal components in it are normally distributed with a mean of 14lbs and standard deviation 0.92lbs. Components are accepted if their weights are inside the limits 13.7 lbs to 14.42lbs. From a sample 34 components What is the probability that a component sampled randomly from the production will be accepted? What is the probability that a component sampled randomly from the production will be rejected?a leading magazine reported at one time that the average number of weeks an individual is unemployed is 26 weeks. assume that the length of unemployment is normally distributed with a population mean of 26 weeks and the population standard deviation of 4 weeks, suppose you would like to select a random sample of 16 unemployed individuals for a to follow -up study. A) for 16 unemployed individuals, find the probability that the average time that they found the next job is more than 25 weeks........
- The size of fish is important to commercial fishing. A study conducted in 2102 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is normally distributed with mean 47 cm and standard deviation 3.4 cm. 1.What is the probability that a randomly Atlantic cod is between 44 and 49 cm? Round your answer to 4 decimal places. 2.What is the probability that a random sample of 5 Atlantic cod have an average length between 44 and 49 cm? Enter your answer rounded to 4 decimal places. Document how you obtained your answer in the space provided below. 3.Why did the probability increase?3. 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 roadsThe mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.6 grams with a standard deviation of 0.1 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 19.52 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 19.66 grams? c) What proportion of mice have a mass between 19.55 and 19.65 grams? d) 25% of all mice have a mass of less than grams. > Next Question
- The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.1 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.23 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.42 grams? c) What proportion of mice have a mass between 20.22 and 20.37 grams?The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.2 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.04 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.54 grams? c) What proportion of mice have a mass between 20.16 and 20.42 grams? d) 10% of all mice have a mass of less than grams.The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 18 randomly selected large cities are studied. Round all answers to two decimal places. A.X-NO B. For the 18 cities, find the probability that the average amount of pollutants is more than 9 ppm. C. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? D. Find the IQR for the average of 18 cities. Q1 = Q3 = IQR:
- a) Turkey is the most tea-loving country in the world. In 2014, the annual per capita consumption of tea in Turkey, denoted X, was normally distributed with a mean of 6:96 lb and a standard deviation of 2:36 lb. b)You pick a random sample of 5 people from Turkey (assume all of them are tea drinkers) and compute their mean per capita tea consumption to be only 3:98 lb. (i) What is the probability that her random sample has an average of 3:98 lb or lower, when the population average is as given above? (ii)Recall that a large sample size makes it unlikely thatthe sample mean is too far away from the population mean. How big a samsle should you have to draw so that the standard deviation of your sample average is less than 10% of its mean (i.e., less than 0.696 lb)?Suppose that you have a large number of potatoes. The mean weight of the potatoes is 7.4 ounces with a standard deviation of 2.2 ounces. We may assume a normal distribution. b) If you choose 45 potatoes at random, what is the probability that the mean of this sample of 45 potatoes is less than 7 ounces?You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 17.3% of the time. a) Out of 400 papers stapled, what is the probability that your stapler will jam less than 58 times? Round your answer to 4 decimals. b) Find the mean and standard deviation for the number of jammed staples out of 400 attempts. Mean: Standard Deviation (rounded to 2 decimals): c) Does the normal approximation apply? Is the success / failure condition met (using a cutoff of 5)? O No O Yes d) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam less than 58 times out of 400 attempts. Use the rounded standard deviation in your calculation. z-score (to 2 decimals) = probability (to 4 decimals, using the rounded z-score)
