SAT scores are normally distributed with mean = 1000 and standard deviation σ = 200. 15) Take a sample of 30 students. According to the Central Limit Theorem, what is the distribution N(A,B) of the sample mean SAT scores x of the 30 students? Put the value of A in the top box and the value of B in the bottom box. (Round B to 2 decimal places) a. b. 16) Using the distribution you found in # 15, if you have a sample of 30 students, find the z-score if the sample mean SAT score ("x-bar") for the 30 students is 972. 17) Find the Table A entry for the z-score you found in #16. 18) Using the previous answers in this section, determine the probability that the mean SAT score of the 30 students is below 972.

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A: Solution-:Let, Z- be the standard normal random variablewe want to find,P( Left of z=-0.44 and right…

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A: There are total 151 students & Bus carry respectively 35,41,31,44 students.

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A: The Standard Normal Table or technology to find the z-score that corresponds to the cumulative area…

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A:

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Q: 1. Given the directed graph as follows 1 1 201 3 2 a. Write the corresponding stochastic matrix. b.…

A: From the given directed graph, the stochastic matrix is given as:

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Q: For a standard normal distribution, find the probability a score is at most 0.37 standard deviations…

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A: X and Y are independent

Q: What is the expectation of X?

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Q: a. Flip a balanced coin 5000 times. Let X be the total number of heads. Compute P(2400 ≤ X ≤ 2600).…

A: Since the number of trials (n = 5000) is very large we can use normal approximation using Central…

Q: A machine that manufactures automobile pistons is estimated to produce a defective piston 1% of the…

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Q: Morrison Industries has decided to use an R-Chart to monitor the changes in the variability of their…

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A:

Q: (d) (e) Using the marginal density of Y from (b), find the probability that the walk-up window is in…

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A:

Q: How many ways can 6 dvds be arranged on a shelf?

A:

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A:

Q: What is the expectation of X?

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