The length of time needed to complete a certain test is normally distributed with mean 31 minutes and standard deviation 6 minutes. Find the probability that it will take less than 40 minutes to complete the test. a) 0.5334 b) 0.5000 c) 0.0668 d) 0.9332 e) 0.4666 f) None of the above
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- 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. Draw a graph and find the probability of a bone density test score greater than 0.33 a. The probability is (Round to four decimal places as needed.)Assume that females have pulse rates that are normally distributed with a mean of μ = 75.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the distribution of sample…The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of µ = 42 and a standard deviation of o = 6. An angler catches an eel from a river. Let: X = the length (in cm) of an eel a) If the normal length of eels is between 30 cm and 45 cm, what percentage of eels fall within this normal range? Round your answer to 2 decimal places. b) What is the probability that an eel is at least 51 cmin length? Round your answer to 4 decimal places. c) The middle 50% of the lengths (in cm) of the eels are between and Round your answers to 2 decimal places d) Due to the symmetry of the normal distribution we know that DIV 20 - DIV -
- Assume that females have pulse rates that are normally distributed with a mean of µ = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the ormal distributio used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O C. Since the original population has a normal distribution, the…Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…Assume that females have pulse rates that are normally distributed with a mean of u=74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute. The probability is. (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts Z remaining Clear All Check Answer 1:29 AM O Type here to search 5/5/2021 144 + 米 IO esc & 7 % %23 3 $ 4. Y %23
- Assume that females have pulse rates that are normally distributed with a mean of μ = 72.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute. The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution a nor distribution for any sample OC. Since the original population has a normal distribution, the distribution…Assume that thermometer readings are normally distributed with a mean of 0 degreesC and a standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 0.50 and 2.00Assume that females have pulse rates that are normally distributed with a mean of u=75,0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. ne a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. ent The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…
- Assume that females have pulse rates that are normally distributed with a mean of µ = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 81 beats per minute. The probability is. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?. O A. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is- (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the…Assume that the probability of a being born with Genetic Condition B is �=17/30. A study looks at a random sample of 286 volunteers.Find the most likely number of the 286 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ = Let � represent the number of volunteers (out of 286) who have Genetic Condition B. Find the standard deviation for the probability distribution of �.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =