SAT scores in one state is normally distributed with a mean of 1502 and a standard deviation of 176. Suppose we randomly pick 37 SAT scores from that state. Find the probability that the average of the scores for the sample of 37 scores is greater than 1438. Hello, can you please help me with this and can this be done with calculator function and excel? Thank you!

SAT scores in one state is normally distributed with a mean of 1502 and a standard deviation of 176. Suppose we randomly pick 37 SAT scores from that state. Find the probability that the average of the scores for the sample of 37 scores is greater than 1438. Hello, can you please help me with this and can this be done with calculator function and excel? Thank you!

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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SAT scores in one state is normally distributed with a mean of 1502 and a standard deviation of 176. Suppose we randomly pick 37 SAT scores from that state.

Find the probability that the average of the scores for the sample of 37 scores is greater than 1438.

Hello, can you please help me with this and can this be done with calculator function and excel?

Thank you!

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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