3. A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p be the proportion of high school students who do not get 8 hours of sleep daily. 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 15000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day. Round to the nearest thousandth.

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
icon
Related questions
Question
3. A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits
showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p be
the proportion of high school students who do not get 8 hours of sleep daily.
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 15000 students in which between
70% and 75% of the students did not get 8 hours of sleep every day.
Round to the nearest thousandth.
Transcribed Image Text:3. A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p be the proportion of high school students who do not get 8 hours of sleep daily. 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 15000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day. Round to the nearest thousandth.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill