A Ayannia TrippATAutoSave O o A 5. O =ECO250_Unit7_L. -Search8 ShareP CommentsDesignLayoutReferencesMailingsReviewViewHelpeHomeInsertAaBbCcD AaBbCcD AaBbC AaBbCcC AaB1 No Spac. Heading 1 Heading 2PFind -ReplaceX CutCalibri (Body)-12A A Aa A E-E- =- EE ATDictateEditore Copy1 NormalTitleA Select -BIU-ab x, x' A- - A-EEEE E- 2- -S Format PainterParagraphStylesEditingVoiceEditorClipboardFont9. What must be true so that the sampling distribution of p follows the normal distribution?

Sampling Distribution of Proportion:

Answered: ipboard 9. What must be true so that…

Math

Probability

ipboard 9. What must be true so that the sampling distribution of p follows the normal distribution?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Why is the normal distribution so important? Answer Choices: Because the probability of getting a…

A: A normal distribution is a symmetric distribution in which most of the density of the data lies…

Q: how would you describe this distribution in terms of skew (positive, negative , or no skew)

A: The data is given on the number of hours the children spend watching TV every weekend.Given…

Q: Here are two different samples drawn from two different populations: Sample A (n=13) Sample B (n=34)…

A: Given information: nA=13nB=34 The dot plot for both the samples A shows that the distribution is…

Q: In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20…

A: Denote p as the true proportion of guests, who catch pike over 20 pounds.

Q: The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a…

A: given data, normal distribution μ=197.5 cmσ=8.9 cmwe have to find out the given probabilities

Q: A television sports commentator wants to estimate the proportion of citizens who "follow…

A: At an 94% confidence level, the z value is 1.88 which can be obtained by using the standard normal…

Q: Administrators at a small school with 200 students want to estimate the average amount of time…

A: According to 10% condition, "The sample size should be less than 10% of our population size" Since…

Q: 12. A simple random sample of size n = 200 is obtained fr a population whose size is N proportion…

A: We have to find probabaility from using z table..

Q: etermine whether the hypothesis test involves a sampling distribution of means that is a normal…

A: the hypothesis test involves a sampling distribution of means that is neither.

Q: A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in…

A: The approximate distribution of the sample proportion is given as a normal distribution given as:…

Q: In the following case, do you think the sample size is large enough to use the normal distribution…

A: Given that: Sample size, n=34 Population proportion, p=0.18

Q: The Z distribution allows us to account for any additional sampling error related to a small sample…

A: The Z distribution allows us to account for any additional sampling error related to a large sample…

Q: For a normal distribution, identify the z-score location that would seperate the distribution into…

A: Given information a) 20% in the tail on the right-hand side means P (Z > z) = 0.20 P (Z < z) =…

Q: na fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20…

A: Given, let p0 be the population proportion and let p^ be the sample proportion n=84 p0=0.75…

Q: Which normal distribution should we use to approximate this randomized dotplot? A. N…

A: Mean = 0.0011 ≈0 st. dev. = 0.056

Q: Given that z is a standard normal random distribution, find z for each situation The area to the…

A: The area to the right of z is 0.1314 is obtained below:From the given information, the probability…

Q: From central limit theorem... true or fals

A: According to the central limit theorem, if the sample size is sufficiently large, i.e., n =30 or…

Q: Use the normal distribution to the right to answer the questions. (a) What percent of the scores are…

A: Solution

Q: x is a random variable. It has a distribution that is approximately normal with population mean of…

A: Null Hypothesis: H0: The population average is not higher than 14. Alternative Hypothesis: H1: The…

Q: Teen drivers (those aged 15-19) spend an average of 25 minutes behind the wheel each day. Assume…

A: From the provided information, Mean (µ) = 25 Standard deviation (σ) = 7.6 X~N (25, 7.6)

Q: he 4 conditions necessary to assume the sampling distribution of sample proportions follows a Normal…

A: Sampling distribution follows Normal distribution if the assumption is met.

Q: In the following case, do you think the sample size is large enough to use the normal distribution…

A: We have given that n = 83 p = 0.03

Q: 59 61 63 67 69 71 Using the sampling distribution, how likely is T = 68.7? Reasonably likely to…

A: Introduction: It is required to identify the correct choice.

Q: Decide whether the normal sampling distribution can be used. If it can be used, test the claim about…

A: The single proportion z-test statistic is, Z=p^-p0p0 (1-p0)nwhere p^=sample proportionp0=claimed…

Q: What is the skewness measure (b₁) of a normal distribution?

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A: Given,sample size(n)=25mean(μ)=205.5standard deviation(σ)=8.3

Q: In the following case, do you think the sample size is large enough to use the normal distribution…

A: Given that, n = 90, p = 0.77 To check if the normal distribution can be used to test population…

Q: Decide whether the normal sampling distribution can be used. If it can be used, test the claim about…

Q: The sample size n, probability of success p, and probability of failure q are given for a binomial…

A: According to the given information, we have The sample size n, probability of success p, and…

Q: Which of the following are the assumptions for a one- sample t test?

A: One sample t-test is used to determine if the sample mean is statistically different from a known,…

Q: Which of the following is true about sampling distributions? O Sampling distributions are always…

A: It is an important part of statistics. It is widely used.

Q: Research shows that 51% of US citizens are female. Suppose we are constructing a sampling…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: e or fals

A: The statement given is that , As a general rule , the normal distribution is used to approximate…

Q: In sample surveys, what is meant by bias? O A systematic error in a sampling method that leads to an…

Q: Which of the following are the assumptions for a Paired Samples t Test? Choose all assumptions which…

A: Introduction: The paired samples t-test is used to compare the mean difference between two paired or…

Q: The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs,…

A: Here, we know that, sample mean is unbiased estimator of population mean.

Q: Archery. A champion archer can generally hit the bull’s-eye 80% of the time. Suppose she shoots 200…

A: a.

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A Ayannia Tripp
AT
AutoSave O o A 5. O =
ECO250_Unit7_L. -
Search
8 Share
P Comments
Design
Layout
References
Mailings
Review
View
Help
e
Home
Insert
AaBbCcD AaBbCcD AaBbC AaBbCcC AaB
1 No Spac. Heading 1 Heading 2
PFind -
Replace
X Cut
Calibri (Body)
-12
A A Aa A E-E- =- EE AT
Dictate
Editor
e Copy
1 Normal
Title
A Select -
BIU-ab x, x' A- - A-EEEE E- 2- -
S Format Painter
Paragraph
Styles
Editing
Voice
Editor
Clipboard
Font
9. What must be true so that the sampling distribution of p follows the normal distribution?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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, probability and related others by exploring similar questions and additional content below.

Similar questions

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8 cm. Find the probability that an individual distance is greater than 210.00 cm. Find the probability that the mean for 20 randomly selected distances is greater than 198.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not
You intend to conduct a goodness-of-fit test for a multinomial distribution with 5 categories. You collect data from 61 subjects. What are the degrees of freedom for the x distribution for this test? d.f. =
I need help with this problem please help me
You intend to conduct a goodness-of-fit test for a multinomial distribution with 4 categories. You collect data from 73 subjects. What are the degrees of freedom for the x distribution for this test? d.f. =
Which of the following is a characteristic of the sampling distribution of a mean or proportion? a) its standard error increases as the size of the sample increases b) its standard error increases as the size of the population increases c) it has the shape of a normal curve d) its shape depends on the shape of population distribution
Distribution of sample means e.
n a trial for the university athletics competition, one aims to estimate the mean chest size of the male athletes. A random sample of 70 male athletes gave rise to an average chest size of 42 inches with a standard deviation of 16 inches. What would be the distribution of the statistic that we need to estimate the mean chest size? a. It is a normal distribution with mean 42 inches and standard deviation 16 inches. b. it is a student's t distribution with degree of freedom 69. c. It is a student's t distribution with mean 42 inches and standard deviation 16 inches. d. it is a normal distribution with degree of freedom 69. 2.What is the standard error of the sample mean in problem 1? a. 1.91 b. 0.23 c. 17.5 d. 16 3. What would be the margin of error for a 95% confidence interval of the true chest size in problem 1? a. 0.46 b. 0.52 c. 3.82 d. 4.38
Consider a hypothesis test of difference of means for two independent populations x1 and x2. Suppose that both sample sizes are greater than 30 and that you know ?1 but not ?2. Is it standard practice to use the normal distribution or a Student's t distribution? Use the Student's t distribution because both sample sizes are greater than 30. Use the normal distribution because we do not know ?2. Use the normal distribution because both sample sizes are greater than 30. Use the Student's t distribution because we do not know ?2.
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 7.8 cm. A) Find a probability that an individual distance is greater than 214.30 cm. B) Find the probability that the mean for 20 randomly selected distances is greater than 203.20 cm C) Why can the normal distribution be used in part (b), eventhough the sample size does not exceed 30 a. The probability is_______ (Round to four decimal places as needed) b. The probability is_______ (Round to four decimal places as needed) c. Choose the correct answer A. The normal distribution can be used because the original population has a normal distribution B. The normal distribution can be used because the mean is large C. The normal distribution can be used becuase the probability is less than 0.5 D. The normal distribution can be used because the finite population correction factor is small
d) For a standard normal distribution, find the probability a score is lower than 2.37 standard deviations above the mean? e) For a standard normal distribution, find the probability a score is between the mean and 2.37 standard deviations above the mean?
7