Ex5: Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the following: a/P(X <13) and P(X>9) b/ P(6< X <14) and P(-2< X<8) c/ x such that P(X>x) = 95%
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- Previous studies have suggested that human body temperature is normally distributed with a mean of 98.6∘98.6∘ F and a standard deviation of 0.7∘0.7∘ F. You sample 75 random humans and find ¯x=97.1∘x¯=97.1∘ F. To estimate the typical human's body temperature,we should use: 2-PropZInt 2-SampZInt 2-SampTInt ZInterval TInterval 1-PropZIntUse 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=nothingAssume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−0.9<z<b) = 0.5607, find b.
- Use 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 120 pounds and a standard deviation of 39.9 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. H = o: = (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. OA. O B. Oc. OD. -110.6 9.4 129.4 101.2 120 138.8 -350.6 9.4 369.4 91.8 120 148.2 Click to select your answer(s). P Type here to search 11:24 AM 2/1/2021 Home EndPrevious studies have suggested that human body temperature is normally distributed with a mean of 98.6∘ F and a standard deviation of 0.7∘ F. You sample 35 random humans and find ¯x=99∘ F. To estimate the typical human's body temperature,we should use: TInterval 2-PropZInt 2-SampTInt 2-SampZInt ZInterval 1-PropZIntUse the formula to find the standard error of the distribution of differences in sample means, I1 – X2. Samples of size 110 from Population 1 with mean 82 and standard deviation 14 and samples of size 80 from Population 2 with mean 76 and standard deviation 17 Round your answer for the standard error to two decimal places. standard error = i
- Central High School believes their students have unusually high SAT scores on average. The school has 165 students.Based on national data, the average SAT score is 1067 with a population standard deviation of 207. Assume SAT scores are normally distributed. Let X be the random variable representing the mean SAT scores for groups of 165 randomly selected students.a. Fill in the blank, rounding your answers to 2 decimal places if needed. According to the Central Limit Theorem, X is approximately normal with a mean of and a standard error of the mean .b. Find the z-score associated to a sample with a mean of 1109, using the sampling distribution. Round your answer to two decimal places. c. Find the probability that a randomly selected sample of 165 students has a mean SAT score higher than 1109. Round your answer to 4 decimal places. d. Central High School finds that for their students, the average SAT score is 1109. Are they justified in saying their students perform unusually well on…Use 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 99.2 117 134.8Assume x is normally distributed with a mean of 2 and a standard deviation of 2. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)
- Use 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 39.4 pounds. Random samples of size 15 are drawn from this population and the mean of each sample is determined. 4-0 0 = (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. O A. A 96.7 117 137.3 Q O B. A 340.8 10.2 361.2 Q Q ww ^ A -106.8 10.2 127.2 86.5 117 147.5 O C. O D. QAssume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: a P(X > x) = 0.5 b P(X > x) = 0.95 c P(x < X < 10) = 0 d P(-x < X - 10 < x) = 0.95 e P(-x < X - 10 < x) = 0.99please be clear