Question

Assume that SAT scores are normally distributed with mean μ=1518 and standard deviation σ=325 (based on data from the College Board). a. If 1 SAT score is randomly selected, find the probability that it is greater than 1600. b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600

Name: assume that sat scores are normally distributed with mean 1518 and standard deviation 325 based on data from the college board a if 1 sat score is randomly selected find the probability that it is g 4
Uploaded: 2023-04-28T14:44:19-08:00
Duration: 2 min 32 s
Channel: Pritesh Ranjan
Description: assume that sat scores are normally distributed with mean 1518 and standard deviation 325 based on data from the college board a if 1 sat score is randomly selected find the probability that it is g 4

          Assume that SAT scores are normally distributed with mean μ=1518 and standard deviation σ=325 (based on data from the College Board).

a. If 1 SAT score is randomly selected, find the probability that it is greater than 1600.

b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600

Added by Jm J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

04/28/2023

Step 1

z = (X - μ) / σ z = (1600 - 1518) / 325 z ≈ 0.252 Now, we can find the probability for a single SAT score greater than 1600 using the z-score. P(X > 1600) = P(z > 0.252) ≈ 0.4005 For the second part, we need to find the probability that the mean of 64 randomly Show more…

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Assume that SAT scores are normally distributed with mean μ=1518 and standard deviation σ=325 (based on data from the College Board). a. If 1 SAT score is randomly selected, find the probability that it is greater than 1600. b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600