**Transcription:**"Under what two conditions will a sampling distribution be normally distributed?"**Explanation:**This text prompts a discussion typically found in statistics or probability theory, related to the normal distribution of sampling distributions. It likely leads to an explanation of the Central Limit Theorem, which states that the sampling distribution of the sample mean will tend to be normal under two conditions:1. **Sample Size:** The sample size is sufficiently large (usually n ≥ 30 is considered adequate).2. **Population Distribution:** The population from which samples are drawn is normally distributed, or the sample size is large enough to ensure normality regardless.No graphs or diagrams are present in this image.

Answered: Under what two conditions will a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Is the distribution of marital categories in the GSS representative of their distributions in the population? Let’s assume that in the U.S.: married = 48%, widowed = 6%, divorced = 12%, separated = 2%, never married = 32%. In the 2018 GSS, MARITAL is coded: 1=married, 2=widowed, 3=divorced, 4=separated, and 5=never married. Interpret the output and provide the output from this test as a part of your answer. Discuss your interpretation of the results using APA format. 1.) Assumption? 2.) Level of measurement? 3.) Null hypothesis? 4.) Research hypothesis? 5.) Select the sampling distribution and establish the critical region? 6.) Compute the test statistics? 7.) Interpret the results using APA format? *Use the graphs inserted below in images.
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
Airlines tend to overbook their flights because they assume a certain percentage of people will be 'no shows' due to change in plans or late connecting flights. A recent study suggested that 86% of people actually show up for their flight on time. A random sample of 222 booked passengers is taken and whether or not they showed up on time is recorded for each of them. The Central Limit Theorem for proportions says that the sampling distribution of the proportion of people who show up on time for their flight will have a Normal shape. (a) Give the center and standard error for the sampling distribution of proportions. Round to four decimal places as needed. mean = and standard error = (b) What is the probability that at least 88% of the randomly selected booked passengers showed up on time? P(ˆp ≥0.88)= (c) What is the probability that between 82% and 90% of the randomly selected booked passengers showed up on time? P(0.82≤ˆp ≤0.9)= (d) Is 83% an unusually low percentage of…
The sampling distribution of a statistic is (select the best answer): The mechanism that determines whether the random sampling was effective. A normal curve, for which probabilities are obtained by standardizing. A distribution of all parameters from the population that is to be randomly sampled. A distribution of a single statistic from repeated random samples of the same size, from the same population. A distribution of all possible summary statistics from a single random sample, from the same population.
Please answer parts B,C and D
Given the population mean hypothesis H0: μ = 150 and H1: μ ≠ 150 identify the the type of test distribution. (A) Right-tail test (B) Two-tail test (C) Left-tail test (D) None of these
In a study using 14 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is A.) a standard normal distribution. B.) at distribution with 13 degrees of freedom. C.) at distribution with 14 degrees of freedom. D.) at distribution with 15 degrees of freedom. 1.
Suppose the above bell curve (normal distribution) represents the voters and their viewpoints (the "height" of the curve represents the number of voters with that particular view) on the highly debated issue for an upcoming election for a member of Congress. The two candidates's (A and B) views on the issue are as indicated; your opinion on the issue is represented by the "green line." Who will you vote for in the election? Why do you prefer that candidate over the other? According to the Median Voter Theory, which candidate will win the election? Why will that candidate win (why will they receive the majority of votes)?
Suppose you are constructing a CI for a mean using T distribution and your sample size is 33. What would tge degree of freedom be for the t distribution that you would be using

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Under what two conditions will a sampling distribution be normally distributed? I