# The weights of the Imaginary Texas Winter Melon are normally distributed with amean of 20 pounds and a standard deviation of 4 pounds. Do the followingexercises using anything from your notes and the table provided following all thequestions1.aCa) Convert a weight of 26 pounds to a z-score.b) Convert a weight of 17 pounds to a z-score.c) Find the weight that corresponds to a z-score of 2.d) Find the weight that corresponds to a z-score of -1.5.

Question
69 views help_outlineImage TranscriptioncloseThe weights of the Imaginary Texas Winter Melon are normally distributed with a mean of 20 pounds and a standard deviation of 4 pounds. Do the following exercises using anything from your notes and the table provided following all the questions 1. a C a) Convert a weight of 26 pounds to a z-score. b) Convert a weight of 17 pounds to a z-score. c) Find the weight that corresponds to a z-score of 2. d) Find the weight that corresponds to a z-score of -1.5. fullscreen
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Step 1

Given data

Mean = 20

Standard Deviation = 4

z-score is given by the following formula help_outlineImage Transcriptioncloseх — и Z = а) weight 26 pounds 26 20 = 1.5 х — и 4 b) weight 17 pounds 17 20 х — и -0. 75 4 fullscreen
Step 2

c)

weight that corresponds to z-score of 2 is g... help_outlineImage Transcriptionclose- 20 4 => x = 28 d) weight that corresponds to z-score of -1.5 is given by - 20 -1.5 4 => x = 14 fullscreen

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