Two balanced coins are flipped. What is the variance of the number of heads observed?

Q: Hello, How do you set up and solve? Thank You!

A: Variance of the sampling distribution of the proportions:Consider p-hat as the sample proportion and…

Q: In one​ city, 24​% of adults smoke. In groups of size 140 of​ adults, what is the variance of the…

A: Givenp=0.24n=140x~Binomial(n=140,p=0.24)P(X=x)=(nx)×px×(1-p)n-x      ; x=0,1,2...,n

Q: Explain the Difference between the sample space and random variables?

A: Sample space: The sample space is the collection of all outcomes, if a random experiment is…

Q: Assume we do a simple random sample, where we have the same number of secondary units. Will cluster…

A: Since in the first case, the number of secondary units is the same, simple random sampling can be…

Q: The best way to determine if a statistical hypothesis is true is to examine a random sample from the…

A: Statistical hypothesis - Statement regarding nature of population * it stated in terms of population…

Q: Explain the three methods of selecting a simple random sample

A: When the sample is selected randomly and every element of the population has an equal chance of…

Q: To determine whether a sample should be treated as a simple random sample, which is more important:…

A:

Q: What is the formula to be used to determine the total possible random samples?

A: Let the population size be N Sample size be n

Q: What is the variance of number of Sundays on a nonleap year?

A:

Q: Provide a scenario of your own in which a sample is not representative.

A: A representative sample can be defined as a sample taken from a population which represents all the…

Q: Which one has samples that are the smallest sample size?

A: Given, 3 sampling distributions in the question comes from samples with the same population mean and…

Q: Does the one observed sample mean qualify as a common or a rare outcome? Explain.

A: Sample mean qualify as a common outcome if the difference between the sample mean and the actual or…

Q: Find the probability that mean of sample size 36 will be negative.

A:

Q: If you want to reduce the amount of variance present in an independent-measures (one-way) ANOVA, you…

A: ANOVA is a parametric inferential procedure.

Q: Q1. Before conducting a two-factor analysis of variance, a professor wants to know how many unique…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Q 1) Two factors are…

Q: What is a random sample?

A: Here use definition of random sample

Q: When resampling data from two independent samples, what is the fundamental difference between…

A: Bootstrapping is basically a method of resampling a single dataset to generate a large number of…

Q: is a sampling considered biased?

A: We know that The sampling method is called biased when it favors some outcomes over the others…

Q: Are these samples independent or paired?

A: When the two observations are taken on same individual then the samples are said to be paired.

Q: List two ways to identify a simple random sample.

A: Definition: Simple random sampling is defined as a sampling technique where every item in the…

Q: Two samples are randomly selected from

A: Failing to reject the Null hypothesis means accepting it and rejecting the alternative hypothesis.

Q: What is the sampling distribution in estimating the variance of a population? What are the…

A: The estimation population variance of the sampling distribution, or

Q: A fair coin is tossed 50 times, what is the mean and variance of getting a tail?

A: Since , the fair coin is tossed 50 times. Our aim is to find the mean and variance of getting tail.…

Q: What is the sample size of adults participated in this study?

A: We have to find the sample size for the given situation.

Q: What is the population and sample of this study?

A: We want to know population and sample in given example.

Q: What is the difference between a random sample and a simple random sample

A: The difference between a random sample and a simple random sample is,Random sample:Random sample is…

Q: What is the sample covariance?

A:

Q: Find the variance of the probabilty distribution for the histogram

A:

Q: What is the likely media when the mean is 9 the sample variance is 7.31 and the skew is 1.04

A: Given data:  mean  =9 sample variance  = 7.31 skew =1.04

Q: Describe the definition of random sample

A: The random samples can be defined as the samples which are randomly selected from the population and…

Q: Why a casual or haphazard sample doesn’t qualify as a random sample?

A: Haphazard or casual sampling is where we try to create a random sample by haphazardly or casually…

Q: What is the variance of random variables X, the outcome of rolling a fair die

A: The sample of rolling a fair die is {1,2,3,4,5,6}.

Q: It is not important to collect samples randomly. True or false

A: Any sample must be collected using the random techniques. If the samples are not collected randomly…

Q: You can reduce the risk of a Type I error by using a larger sample. True or False?

A: Type-I error: Type I error is rejecting the null hypothesis when the null hypothesis is actually…

Q: The reason why samples are selected at random is

A: We know that  Random sampling :  Selecting a sample randomly from the population . By selecting…

Q: Define Conditional variance?

A:

Q: pooled variance is 135.

A:

Q: Find and provide the solution of the sample mode, and sample variance of the values 8, 10, 4.

A:

Q: Calculate the variance of a sample for which n=5, sigmax^2=1320, sigmax=80

A: Given data n=5∑x2=1320∑x=80

Q: Explain in detail RANDOM ASSIGNMENT OF SUBJECTS.

A: Random assignment: A random assignment is a technique for placing participants to different groups…

Q: In an activity, students are pulling marbles from a large jar containing blue and red marbles. In…

A: We need to identify suitable sample size

Q: if the original distribution is positively skewed, what is the distribution of z scores?

A: Given : Positively skewed distribution . It is also known as right-skewed distribution Here ,…

Q: It is important to have a random sample to prevent data manipulation. O True False

A: This question can be solved by applying the concepts of random sampling.

Q: Define random variations?

A: The question is about time series analysis Introduction : Time Series : It is a statistical…

Q: If the sample variance for y1 = {-2, 7,9,13,16,0,15,6} is 44, what is the variance of y2 = 3.8 * y1?…

A: SOLUTION:- Given data for sample variance y1={-2, 7,9,13,16,0,15,6}=44…

Q: (4) Are the population mean and variance random variables? Why? Are the sample mean and variance…

A: Note: Hi! Thank you for the question. As questions 4 and 5 are independent questions, according to…

Q: What is the symbol for the sample variance?

A: Explanation:

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.