Score: 90/260 10/26 dISwereu Question 11 Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between z = within 1.6 standard deviations of the mean). What percent of the data points will fall in that range? 1.6 and z = 1.6 standard deviations of the mean (or Answer: percent (Enter a number between 0 and 100, not 0 and 1 and round to 2 decimal places)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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**Question 11:**

Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between \( z = -1.6 \) and \( z = 1.6 \) standard deviations of the mean (or within 1.6 standard deviations of the mean). What percent of the data points will fall in that range?

**Answer:** [Input box for answer] percent (Enter a number between 0 and 100, not 0 and 1 and round to 2 decimal places)

**Graph Explanation:**

The graph below the question is not fully visible, but it seems to be illustrating a normal distribution curve. The vertical line labeled "5" likely represents the mean, with two central intervals marked \( -1.6 \) and \( 1.6 \) standard deviations from the mean. There appear to be markings to indicate intervals along the horizontal axis, which likely correspond to z-scores on a standard normal distribution. 

The diagram is likely a visual aid to help understand the proportion of data within the specified range of the normal distribution.
Transcribed Image Text:**Question 11:** Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between \( z = -1.6 \) and \( z = 1.6 \) standard deviations of the mean (or within 1.6 standard deviations of the mean). What percent of the data points will fall in that range? **Answer:** [Input box for answer] percent (Enter a number between 0 and 100, not 0 and 1 and round to 2 decimal places) **Graph Explanation:** The graph below the question is not fully visible, but it seems to be illustrating a normal distribution curve. The vertical line labeled "5" likely represents the mean, with two central intervals marked \( -1.6 \) and \( 1.6 \) standard deviations from the mean. There appear to be markings to indicate intervals along the horizontal axis, which likely correspond to z-scores on a standard normal distribution. The diagram is likely a visual aid to help understand the proportion of data within the specified range of the normal distribution.
Expert Solution
Step 1

Given data:

Z = -1.6  and  Z = 1.6

To find:

P( -1.6 < Z < 1.6 )

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