In a large class of introductory Statistics students, the professor has each person toss a fair coin 13 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions a) What shape would you expect this histogram to be? Why? b) Where do you expect the histogram to be centered? c) How much variability would you expect among these proportions? d) Explain why a Normal model should not be used here

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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In a large class of introductory Statistics students, the professor has each person toss a fair coin 13 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor
plots a histogram of these several proportions.
a) What shape would you expect this histogram to be? Why?
b) Where do you expect the histogram to be centered?
c) How much variability would you expect among these proportions?
d) Explain why a Normal model should not be used here.
a) What shape would you expect this histogram to be? Why?
O A. Skewed left, because tails is more likely than heads
O B. Symmetric, because probability of heads and tails is equal.
OC. Skewed right, because heads is more likely than tails.
O D. Bimodal, because there are two possible outcomes.
b) Where do vou expect the histogram to be centered?
O(Type an integer or a decimal.)
c) How much variability would you expect among these proportions?
Standard deviation = Round to three decimal places as needed.)
Transcribed Image Text:In a large class of introductory Statistics students, the professor has each person toss a fair coin 13 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. a) What shape would you expect this histogram to be? Why? b) Where do you expect the histogram to be centered? c) How much variability would you expect among these proportions? d) Explain why a Normal model should not be used here. a) What shape would you expect this histogram to be? Why? O A. Skewed left, because tails is more likely than heads O B. Symmetric, because probability of heads and tails is equal. OC. Skewed right, because heads is more likely than tails. O D. Bimodal, because there are two possible outcomes. b) Where do vou expect the histogram to be centered? O(Type an integer or a decimal.) c) How much variability would you expect among these proportions? Standard deviation = Round to three decimal places as needed.)
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