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- The Table below shows the average score of the150 students sampled from the University of the East Europe in the academic year 2020/2021. Score (out of 100) Number of students 40-49 19 50-59 32 60-69 49 70-79 29 80-89 21 Given that Class Frequency 40 - 49 19 50 - 59 32 60 - 69 49 70 - 79 29 80 - 89 21 Class(1) Frequency (f)(2) Mid value (x)(3) f⋅x(4)=(2)×(3) cf(6) 40-49 19 44.5 845.5 19 50-59 32 54.5 1744 51 60-69 49 64.5 3160.5 100 70-79 29 74.5 2160.5 129 80-89 21 84.5 1774.5 150 n=150 ∑f⋅x=9685 Use your results above to comment on the shape of the distribution. Give a reason for you answer.R1Let X = Red blood cell count in millions per cubic millimeter of whole blood for healthy females ex has been approximately normal distribution which means U = 5.1 and standard deviation O = 0.6 (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) (c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.) (d) Convert the z interval, z < -1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) (f) Convert the z interval, -2.25 < z < -1.00, to an x interval. (Round your answers to one decimal place)
- Pls help with below homework :11th -The variance of the sample formed by the sample averages of the samples randomly taken from a population with the condition of substitution, with a size of n=100, was found to be 0.01. What is the sample standard error value?a)0.001 B)0.014 NS)0.20 D)0.032 TO)0.10st K Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. S= n [Σ(+•x2)]- [Σ«•x)]2 n(n-1) Interval Frequency 20-29 1 30-39 4 40-49 5 ... Standard deviation = (Round to one decimal place as needed.) 50-59 3 60-69 8 70-79 32 80-89 C 39
- N Suppose Z follows the standard normal distr decimal places. (a) P(Z ≤ 1.81) = 0 (b) P (Z > 0.72) = ☐ (c) P(-0.65Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 27.0 kilograms and standard deviation σ = 3.1 kilograms. Let x be the weight of a fawn in kilograms. For parts (a), (b), and (c), convert the x intervals to z intervals. (For each answer, enter a number. Round your answers to two decimal places.) (a) x < 30z < (b) 19 < x (Fill in the blank. A blank is represented by _____.)_____ < z (c) 32 < x < 35 (Fill in the blanks. A blank is represented by _____. There are two answer blanks.)_____ < z < _____first blank second blank For parts (d), (e), and (f), convert the z intervals to x intervals. (For each answer, enter a number. Round your answers to one decimal place.) (d) −2.17 < z (Fill in the blank. A blank is represented by _____.)_____ < x (e) z < 1.28x < (f) −1.99 < z < 1.44 (Fill in the blanks. A blank is represented by _____. There are two answer…K A population has a mean μ = 134 and a standard deviation o = 26. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 59. σ- The mean is μ- =, and the standard deviation is o- = (Round to three decimal places as needed.) X Z-Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean u - 5.3 and standard deviation a - 0.7. The Standard Normal Distribution u = 0, o = 1) -1 68% of area 95% of area 99.7% of area (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) z< (c) Convert the x interval, 4.0 < x< 5.5, to a z interval. (Round your answers to two decimal places.)Q8 and Q9 pleaseRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON