Assuming that the process is in contorol, estimate the standard deviation for the following quantities :
Q: The historical Average rainfall for Albany N,Y is 36.9 inches a year, with standard deviation of 4.3…
A: To test:H0:μ=36.9H1:μ>36.9
Q: On a recent quiz, the class mean was 77 with a standard deviation of 2. Calculate the z-score (to 2…
A: Solution-: Given: μ=77,σ=2,X=78 We want to find Z-score=?
Q: Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7…
A: Let , random variable X be the replacement times for washing machines The random variable X…
Q: car owner determines that annual repair costs (R) can be estimated based on the number of miles…
A: The property of the standard deviation is,.
Q: Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally…
A: Given information- Population mean, µ = 3.3 units/mL We have given that exactly 98% of healthy…
Q: On a recent calculus exam, a class mean was 73 with a standard deviation of 2.7. Calculate the…
A:
Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…
A:
Q: The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about…
A: The mean is 137 and the standard deviation is 69.
Q: systolic blood pressure (given in millimeters) of males has an approximately normal distribution…
A: Given: Population mean μ=125 Population standard deviation σ=14 Let X be normal distribution. X ~…
Q: Suppose that pulse rates among healthy adults are normally distributed beats beats with a mean of 80…
A: Solution: Let X be the pulse rate among healthy students. From the given information, X follows…
Q: Q1: Lifetimes of a certain component are lognormally distributed with parameters p = 1 day and o =…
A: Given: μ = 1 and σ= 0.5 The mean lifetime of these components is computed as, Mean=eμ+σ22…
Q: The weight X of eggs produced at a particular farm are normally distributed with mean 1.72 ounces…
A:
Q: Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1…
A: We know that for continuous model, mean and standard deviation is given by-
Q: The amount of lateral expansion (mils) was determined for a sample of n = 5 pulsed-power gas metal…
A:
Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…
A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…
Q: Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury ( mmHg)…
A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 5.6 X~N (120, 5.6)
Q: What is the Discrete Variable Standard Deviation for the following numbers: x = 0 and P(X = x) =…
A: Answer:- Given the discrete variable is, x = 0 and P(X = x) = 0.56x = 1 and P(X = x) = 0.15x = 2 and…
Q: From generation to generation, the mean age when smokers first start to smoke varies. However, the…
A: Given , The standard deviation = 1.3 Sample size = n = 40 Sample mean = x¯ = 18.1 Claim : The mean…
Q: on the lifestyles of visually impaired students was conducted. The students kept track of many…
A: Given that. X~N( μ , ?^2 ) μ=8.79 , ?=1.12 Z-score =( x - μ )/?
Q: Assume time to faliure density function (in months) of transplanted kidneys has a Weibull…
A: Here α=6 and β=3. The density function is given by fx=βxβ-1αβe-xαβ=3*x3-163e-x63=x272e-x63
Q: A company claims that the mean monthly residential electricity consumption in a certain region is…
A: Suppose the population mean monthly residential electricity consumption in a certain region is µ.
Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…
A: Given data,μ=866σ=159P(X<862)=?
Q: Suppose the returns on long-term corporate bonds and T-bills are normally distributed. Assume for a…
A: Let X1 be the returns on long-term corporate bond. And X2 be the return on T-bills. Both the random…
Q: Toyota needs to determine the average service time to check and repair 80% of their customer’s…
A: Here, σ=300 secs60=5 minutes, z=0.84, x=30 minutes.
Q: On a recent quiz, a class mean was 70 with a standard deviation of 2.8. Grading was done on a curve…
A: Given information- Population mean, µ = 70 Population standard deviation, σ = 2.8 We have to find…
Q: Chapt 4, Q8: Answer this question please The antibody production of 12 male red-winged blackbirds…
A: Given data: Standard deviation = 0.240 Margin of error = 0.08 Confidence level = 80% (0.8) To find:…
Q: Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally…
A: It is given that the mean is 3.3 and the X value is 5.9 units.
Q: Exercise 42 Barbara sends about 12 emails on an average 8-hour work day from 9am to 5pm. (1) What is…
A: Poisson distribution is a type of discrete probability distribution with a single parameter λ. It is…
Q: In a survey, the mean weight of 1005 rats was calculated to be 132 gr. The standard deviation of the…
A:
Q: Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally…
A: From the provided information, Mean (µ) = 3.2 Confidence level = 99% The Z critical value at 99%…
Q: The brain volumes (cm3) of 50 brains vary from a low of 908 cm3 to a high of 1478 cm3. Use the…
A: Given: Min=908 Cm3Max=1478 Cm3Exact standard deviation =174.4
Q: A company claims that the mean monthly residential electricity consumption in a certain region is…
A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…
Q: Suppose that the mean number of weekly hours worked by South African women is 35.6 hours, with a…
A: Given: Population mean (μ)=35.6 Population standard deviation (σ)=10.1
Q: Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally…
A: Given that: Population mean, μ=3.2 To find: Standard deviation of the distribution of healthy…
Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…
A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…
Q: Suppose that the TSH (Thyroid Stimulating exactly 95% of healthy individuals have TS your…
A: Mean=3.1 X=6.1 95%
Q: Suppose that replacement times for washing machines are normally distributed with a mean of μ=8.7…
A: For a variable distributed normally, i.e for X~N(μ, σ) the z-score for X is, Z=X-μσ; Z~N(0,1)…
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- The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 14 days. A distribution of values is normal with a mean of 267 and a standard deviation of 14. What percentage of pregnancies last fewer than 274 days? P(X < 274 days) Let XX represent the full height of certain species of tree. Assume that XX is normally distributed with a mean of 82.1 feet and a standard deviation of 47.9 feet.Find the probability that the full height of a randomly selected tree is greater than 154 feet. P(X>154)Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 8.74 hours of sleep, with a standard deviation of 2.55 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed. Give your answers to 4 decimal places. Use at least 3 decimal places for your z-scores. (a) What is the probability that a visually impaired student gets less than 6.9 hours of sleep? answer: (b) What is the probability that a visually impaired student gets between 6.8 and 9.83 hours of sleep? answer: (c) Fourty percent of students get less than how many hours of sleep on a typical day? answer: hours problemThe finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter. If in a couple of years, the mean and the standard deviation of the nished inside diameter of a piston ring change both to dierent values μ and σ, what proportion of rings will have inside diameters exceeding μ + 2.5σ?
- Someone once dropped a 'mint imperial", a type of sweet, from the top of a multi-story car park and it landed on my grandmother's head. The average speed of a falling mint imperial is 4 m/s and the velocity is a Gaussian distribution with standard deviation 0.25 m/s. If a mint travelling faster than 5 m/s causes injury, what is the chance my grandmother was injured? In fact she was fine, but very annoyed. O(i- erf (2/2)/2 O [1- erf (v2)/2 O [1- erf (2) O [1- erf (4)/2Assume a variable is normally distributed with a mean of 30 and standard deviation of 6. P(x>32) = Round to three decimal places. NAssume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)
- GPAS at CCSU are normally distributed with a mean of 2.14 and a standard deviation of 0.52. Find the z-score for a GPA of 2.78.Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation A. Compute a 98% CI for true average porosity of another seam based on n specimens with a sample average porosity of B. n=21 B=5.1 A=0.8 What is the upper bound? Two decimal placesGPAs at CCSU are normally distributed with a mean of 2.25 and a standard deviation of 0.45. Find the z-score for a GPA of 2.49.
- Suppose that the average life of a refrigerator before replacement is μ = 15 years with a (68%of data) range from 13 to 17 years. Let x = age at which a refrigerator is replaced. Assumethat x has a distribution that is approximately normal. Find a good approximation for thestandard deviation of x values.Suppose the average life of kiwi phones is 4.66 years with standard deviation 1.05 years. Let X represent the average lif of 40 r/s kiwi phones. Find P( x > 5)Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.2 units/mL. Suppose also that exactly 98% of healthy individuals have TSH levels below 6.1units/mL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.