2. A poll done by Kellogg Corporation asked a random sample of 500 high school students whether they eat breakfast in the morning before school. Of the respondents, 60% said that they skip breakfast. Let p be the proportion of high school students who skip breakfast. a. What is the mean of the sampling distribution of p ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. A poll done by Kellogg Corporation asked a random sample of 500 high school students whether they eat
breakfast in the morning before school. Of the respondents, 60% said that they skip breakfast. Let p be the
proportion of high school students who skip breakfast.
a. What is the mean of the sampling distribution of p ?
b. Find the standard deviation of the sampling distribution of p.
Round to the nearest thousandth.
c. Draw the curve of the sampling distribution of p using Desmos.
Find the probability of selecting a sample of 500 high school students in which
less than 58% of the students skip breakfast. Round to the nearest thousandth.
Transcribed Image Text:2. A poll done by Kellogg Corporation asked a random sample of 500 high school students whether they eat breakfast in the morning before school. Of the respondents, 60% said that they skip breakfast. Let p be the proportion of high school students who skip breakfast. a. What is the mean of the sampling distribution of p ? b. Find the standard deviation of the sampling distribution of p. Round to the nearest thousandth. c. Draw the curve of the sampling distribution of p using Desmos. Find the probability of selecting a sample of 500 high school students in which less than 58% of the students skip breakfast. Round to the nearest thousandth.
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