Suppose that the amount of protein in certain type of energy bar is Normally Distributed with a mean of 8.1 grams with a standard deviation of 0.64 grams. Suppose that a random sample of 25 of these bars is selected. d. Find the 90th percentile of the sample means of the grams of protein in these bars. e. Find the values v and w such that the middle 90% of the sample means of protein amounts fall between v and w.

Suppose that the amount of protein in certain type of energy bar is Normally Distributed with a mean of 8.1 grams with a standard deviation of 0.64 grams. Suppose that a random sample of 25 of these bars is selected. d. Find the 90th percentile of the sample means of the grams of protein in these bars. e. Find the values v and w such that the middle 90% of the sample means of protein amounts fall between v and w.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 4CYU

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Question

d. Find the 90th percentile of the sample means of the grams of protein in these bars.

e. Find the values v and w such that the middle 90% of the sample means of protein amounts fall between v and w.

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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