STATS:DATA+MODELS-MY LAB ACC >CUSTOM<
21st Edition
ISBN: 9780137643127
Author: DeVeaux
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 16, Problem 1E
a.
To determine
Explain the shape of the sampling distribution for the sample proportion.
a.
Expert Solution
Answer to Problem 1E
The shape of the sampling distribution for the sample proportion is unimodal and symmetric.
Explanation of Solution
Given info:
A random sample of 200 is drawn from customers who recently logged in and checked their IP address and the smartphone users true proportion is 36%.
Justification:
Sampling distribution for a proportion:
For all possible samples the distribution of proportion is called the sampling distribution of proportion
- Samples should be independent.
- Sample size should be large.
- The sampling distribution of
Here random sample is drawn by considering 200 investors as a small portion of their customer. Therefore, the sampling distribution for the proportion of 200 investors that use smartphones would be unimodal and symmetrical.
b.
To determine
Find the mean of this sampling distribution.
b.
Expert Solution
Answer to Problem 1E
The mean of this sampling distribution is 0.36.
Explanation of Solution
Justification:
From part (a), the mean for the sampling distribution of proportion is p.
Here, the true proportion smartphone users, is 36% that is, 0.36.
Thus, the mean of this sampling distribution is 0.36.
c.
To determine
Find the standard deviation of the sampling distribution.
c.
Expert Solution
Answer to Problem 1E
The standard deviation of the sampling distribution is 0.034.
Explanation of Solution
Calculation:
From part (a), the standard deviation of
Here proportion p is 0.36 and q is
Substitute p as 0.36, q as 0.64 and n as 200 in the formula,
Thus, the standard deviation of the sampling distribution is 0.034.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
WHAT IS THE CORRECT ANSWER AND WHY?
A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…
A qualifying exam for a graduate school program has a math section and a verbal section. Students receive a score of 1, 2, or 3 on each section. Define X as a student’s score on the math section and Y as a student’s score on the verbal section. Test scores vary according to the following bivariate probability distribution.
y
1
2
3
1
0.22
0.33
0.05
x
2
0.00
0.08
0.20
3
0.07
0.05
0.00
μXX = , and μYY =
σXX = , and σYY =
The covariance of X and Y is . The coefficient of correlation is . The variables X and Y independent.
The expected value of X + Y is , and the variance of X + Y is .
To be accepted to a particular graduate school program, a student must have a combined score of 4 on the qualifying exam.
What is the probability that a randomly selected exam taker qualifies for the program?
0.45
0.47
0.46
0.33
Chebysheff’s Theorem states that the…
Chapter 16 Solutions
STATS:DATA+MODELS-MY LAB ACC >CUSTOM<
Ch. 16.2 - 1. You want to poll a random sample of 100...Ch. 16.2 - Prob. 2JCCh. 16.2 - Prob. 3JCCh. 16.3 - Prob. 4JCCh. 16.3 - Prob. 5JCCh. 16.3 - Prob. 6JCCh. 16.3 - Prob. 7JCCh. 16.3 - Prob. 8JCCh. 16.5 - Prob. 9JCCh. 16.5 - Prob. 10JC
Ch. 16.5 - Think some more about the 95% confidence interval...Ch. 16 - Prob. 1ECh. 16 - 2. Marketing The proportion of adult women in the...Ch. 16 - Prob. 3ECh. 16 - Prob. 4ECh. 16 - 5. Living online Pew Research, in 2015, polled a...Ch. 16 - 6. How’s life? Gallup regularly conducts a poll...Ch. 16 - 7. Marriage According to a Pew Research survey,...Ch. 16 - 8. Campus sample For her final project, Stacy...Ch. 16 - Prob. 9ECh. 16 - Prob. 10ECh. 16 - Prob. 11ECh. 16 - 12. Soup A machine is supposed to fill cans with...Ch. 16 - Prob. 13ECh. 16 - 14. Spanking In a 2015 Pew Research study on...Ch. 16 - Prob. 15ECh. 16 - 16. Smoking The Gallup poll described in Exercise...Ch. 16 - Prob. 17ECh. 16 - Prob. 18ECh. 16 - Prob. 19ECh. 16 - 20. Hiring In preparing a report on the economy,...Ch. 16 - Prob. 21ECh. 16 - Prob. 22ECh. 16 - Prob. 23ECh. 16 - 24. More conditions Consider each situation...Ch. 16 - Prob. 25ECh. 16 - 26. More conclusions In January 2002, two students...Ch. 16 - Prob. 27ECh. 16 - 28. Confidence intervals, again Several factors...Ch. 16 - Prob. 29ECh. 16 - Prob. 30ECh. 16 - 31. Mislabeled seafood In 2013 the environmental...Ch. 16 - Prob. 32ECh. 16 - Prob. 33ECh. 16 - 34. Still living online The Pew Research poll...Ch. 16 - Prob. 35ECh. 16 - 36. Take the offer First USA, a major credit card...Ch. 16 - Prob. 37ECh. 16 - 38. Junk mail Direct mail advertisers send...Ch. 16 - Prob. 39ECh. 16 - 40. Local news The mayor of a small city has...Ch. 16 - Prob. 41ECh. 16 - 42. Gambling A city ballot includes a local...Ch. 16 - Prob. 43ECh. 16 - 44. Teachers A 2011 Gallup poll found that 76% of...Ch. 16 - Prob. 45ECh. 16 - Prob. 46ECh. 16 - Prob. 47ECh. 16 - 48. Back to campus II Suppose ACT, Inc. wants to...Ch. 16 - Prob. 49ECh. 16 - Prob. 50ECh. 16 - Prob. 51ECh. 16 - Prob. 52ECh. 16 - Prob. 53ECh. 16 - Prob. 54E
Knowledge Booster
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.Similar questions
- what is the correct answer and why?arrow_forward(a) How many bit strings of length 10 both begin with a 1 and end with 2 zeroes? (b) How many permutations of the letters PQRSTUV contain PRS and QV?arrow_forward(d) A clothing store sells red, white, green, orange and pink charms for a specialty bracelet. How many ways can a customer purchase a bracelet with (i) 16 charms? (ii) 27 charms with at least 3 of each colour?arrow_forward
- (d) Draw the Venn diagram which represents the set (A U B) U (B NC).arrow_forwardThe ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n sample mean population std. dev. West 33 26.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for this problem? what is the p-value? what is the decision (reject or do not reject the null hypothesis?arrow_forwardA common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie. Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute. Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 24% of the time, and roommate B chooses rock 85% of the time; roommate A selects paper 12% of the time, and roommate B selects paper 14% of the time; roommate A chooses scissors 64% of the time, and roommate B chooses scissors 1% of the time. (These choices are made randomly and independently of each…arrow_forward
- Perform the following hypothesis test: HO: µ = 6 H1: µ 6 The sample mean is 5.6, sample standard deviation of 1.5 and a sample size of 42. Use a 5% significance level. Need to answer the following questions: what is the value of the test statistic? what is the p-value for this test (round to 3 decimal places)? what is the decision (reject the null hypothesis or do not reject the null hypothesis)?arrow_forwardPerform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample proportion is 0.2 based on a sample size of 95. Use a 10% significance level. need to solve the following questions: what is the value of the test statistic? what is the p-value? what is the decision (reject the null hypothesis or do not reject the null hypothesis)?arrow_forwardOOOOOOO00 Let's play Pick-A-Ball with replacement! There are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket, without looking, and select two balls. Since the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to select your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your answer in decimal format and round it to two decimal places.) Assume you have put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the red Pick-A-Ball! icon to select your second ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your…arrow_forward
- There are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket, without looking, and select two balls. Since the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with likelihood of being chosen. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to select your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your answer in decimal format and round it to two decimal places.) Assume you have put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the red Pick-A-Ball! icon to select your second ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your answer in decimal format and round it to…arrow_forwardConsider a population that consists of the 70 students enrolled in a statistics course at a large university. If the university registrar were to compile the grade point averages (GPAs) of all 70 students in the course and compute their average, the result would be a mean GPA of 2.98. Note that this average is unknown to anyone; to collect the GPA information would violate the confidentiality of the students’ academic records. Suppose that the professor who teaches the course wants to know the mean GPA of the students enrolled in her course. She selects a sample of students who are in attendance on the third day of class. The GPAs of the students in the sample are: 3.71 3.92 3.68 3.60 3.64 3.27 3.93 3.12 3.40 3.74 The instructor uses the sample average as an estimate of the mean GPA of her students. The absolute value of the error in the instructor’s estimate is: 0.62 0.52 0.86 0.80 The portion of this error that is due to errors in data…arrow_forwardThe potential of using solar panels constructed above national highways to generate energy was explored in a particular engineering journal. Two-layer solar panels (with 1 meter separating the panels) were constructed above sections of both east-west and north-south highways in a certain country. The amount of energy (kilowatt-hours) supplied to the country's grid by the solar panels above the two types of highways was determined each month. The data for several randomly selected months are provided in the accompanying table. The researchers concluded that the two-layer solar panel energy generation is more viable for the north-south oriented highways as compared to east-west oriented roadways. Compare the mean solar energy amounts generated for the two types of highways using a 97% confidence interval. Does the interval support the researchers' conclusion? Click the icon to view the data table. Find a 97% confidence interval for μd. Let μd =μ₁₂, where μ₁ is the mean solar energy…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License