A manufacturing company is producing wire whose diameter follows a normal distribution with μ = 45μ m and σ = 10. What is the probability that any individual wire has a diameter: less than 30μ m between 50μ m and 65μ
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per…
A: We are given that females have pulse rates that are normally distributed with a mean of μ=75.0 and a…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…
A: Note, Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…
A: Since the question has multiple sub parts we will solve the first part only. Please resend the…
Q: ssume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per…
A: Given : Assume that females have pulse rates that are normally distributed with a mean of μ=75.0…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of u= 75.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…
A: Solution: Let X be the pulse rate of females. From the given information, X follows normal…
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per…
A: Given: μ=72.0σ=12.5 a. The probability that a randomly selected female female has pulse rate less…
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…
A: Solution: a. Let X be the females pulse rate. From the given information, X follows normal…
Q: b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a…
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- A manufacturing company is producing wire whose diameter follows a
normal distribution with μ = 45μ m and σ = 10. What is the probability that any individual wire has a diameter:
- less than 30μ m
- between 50μ m and 65μ m
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- Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with μ=118.4μ=118.4 ft and σ=71.6σ=71.6 ft.You intend to measure a random sample of n=204n=204 trees.What is the mean of the distribution of sample means?μ¯x=μx¯= ftWhat is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?(Report answer accurate to 2 decimal places.)σ¯x=σx¯= ftAssume that females have pulse rates that are normally distributed with a mean of u = 73.0 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 66 beats per minute and 80 beats per minute. The probability is 0.4245. (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 between 66 beats per minute and 80 beats per minute. The probability is 0.9949 (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. O C.…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 σ=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 68 beats per minute and 76 beats per minute. The probability is nothing. (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 between 68 beats per minute and 76 beats per minute. The probability is nothing. (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 original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. B. Since the distribution is of sample means, not individuals, the distribution is…
- 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 σ=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 71 beats per minute and 79 beats per minute. The probability is nothing. (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 between 71 beats per minute and 79 beats per minute. The probability is nothing. (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 MEAN PULSE RATE EXCEEDS 30, THE DISTRUBUTION OF SAMPLE MEANS IS A NORMAL DISTRIBUTION FOR ANY SAMPLE SIZE B. SINCE THE DISTRIUBUTION IS OF INDIVIDUALS, NOT SAMPLE MEANS, THE DISTRIBUTION IS A NORMAL DISTRIBUTION FOR ANY…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 σ = 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 80 beats per minute. The probability is 0.6844. (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 80 beats per minute. The probability is 0.9918. (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 original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. ○ C. Since the mean pulse rate…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 between 65 beats per minute and 79 beats per minute. The probability is 0.4246. (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 65 beats per minute and 79 beats per minute. The probability is 0.9750 (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 original population has a normal distribution, the distribution of sample means 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…
- Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ=1.1 kg and a standard deviation of σ=5.1 kg. Part 1 a. If 1 male college student is randomly selected, find the probability that he gains between 0kg and 3kg during freshman year. b. If 10 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0kg and 3kg. c.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 σ=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 75 beats per minute. b. If 4 adult females are selected, find the probability that they have pulse rates with a mean less than 75 beats per minute c. Why can the normal distribution be used in heartbeat even the sample side does not exceed 30?Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a standard deviation of σ=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. (round decimal to four places as needed). B. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. (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?
- Assume 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. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 68 beats per minute and 82 beats per minute. The probability is 0.4246. (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 68 beats per minute and 82 beats per minute. 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 = 73.0 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 80 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 80 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,…T2.7 Let X be a normal random variable with mean mu = 28 and standard deviation = 4.5. Find the probability P(20 <= X <= 30).
