n a the normally distributed variable X with mean = 15 and standard deviation = 2.5, find: The value of k such that P(X < k) = 0.2514
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Given a the
The value of k such that P(X < k) = 0.2514
X is randomly distributed with a mean of 15 and a standard deviation of 2.5;
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- Find the standard deviation, s, of sample data summarized in the frequency distribution table given 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, 9.0. E(r+x?)|-[E"•x)]² n(n- 1) Interval 20-26 27-33 34-40 41-47 48-54 55-61 ents Frequency 4 19 40 24 Standard deviation = (Round to one decimal place as needed.). cess pec a Library OntionsUse the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 100 pounds and a standard deviation of 38.5 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. μx=nothingSuppose the scores on a standardized test are normally distributed with mean μ=340μ=340 and the standard deviation σ=32σ=32. Use the normal distribution to find: The lowest test score in the top 15% bracket.Ans: The highest score in the bottom 20% bracket.Ans:
- 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(f.x²)]-[Σ(f.x)]² n(n-1) Interval Frequency Standard deviation = (Round to one decimal place as needed.) 20-29 2 30-39 3 1 40-49 1 C 50-59 2 60-69 8 70-79 32 80-89 38Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 117 pounds and a standard deviation of 39.8 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. = μx ox (Round to three decimal places as needed.) = Sketch a graph of the sampling distribution. Choose the correct graph below. A. B. O C. O D. A A A -108.1 8.9 125.9 90.3 117 143.7 -342.1 8.9 359.9 99.2 117 134.8An engineer claims the population mean of a certain batch process is 400 grams. To check his claim he takes a random sample of 36 batches and he is satisfied with his claim if his t-value lies in the range (t0.90, t0.10). Should he be satisfied with his claim if his random sample has a sample mean of 430 grams and a sample standard deviation of 90 grams?
- A variable of two populations has a mean of 30 and a standard deviation of 18 for one of the populations and a mean of 30 and a standard deviation of 32 for the other population. Complete parts (a) through (c). a. For independent samples of size 9 and 16, respectively, find the mean and standard deviation of X₁ -X₂. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of X₁ -X₂ is. (Type an integer or a decimal. Do not round.) The standard deviation of X₁-X₂ is (Round to four decimal places as needed.) b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. OA. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x₁-x₂ to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. B. No, the formulas for the mean and standard deviation of…Enter a value for π. A die is rolled until it shows 6. Denote the number of times it was rolled by X. Compute: E(X): Standard deviation of X: (enter at least 3 decimal places).Given the normally distributed variable X with mean 18 and standard deviation 2.5, find (a) P(X k) = 0.1814; (d) P(15please be clearAssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 5.66% from the rest? That is, if P(z > c) = 0.0566, find c. с — °CFind 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. n[Σ(f•x?)] - [Σ(-x)]2 n(n −1) Interval 58-64 65-71 72-78 30-36 1 37-43 4 44-50 4 51-57 2 Frequency 31 39 CO Standard deviation = (Round to one decimal place as needed.)
