Explain why the family confidence level, not the individual confidence level, is the appropriate level for comparing all population means simultaneously.

Q: What is the purpose of the confidence intervals in Statistics?

A: Confidence interval is derived from the Sample stastics for the estimatation of population…

Q: Why are sample characteristics important in inferential statistics and research?

A: Statistical Inference: To infer about the population on the basis of sample observation is known as…

Q: What do statisticians mean by confidence limits?

A: Confidence limits are the minimum and maximum values above and below which we are confident that a…

Q: What is the test statistic?

A: At Rachel's 11th birthday party, B-girls were timed to see how long ( in seconds ) they could hold…

Q: Explain Prerequisites of Sampling Distribution of the Mean?

A: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken from a…

Q: When would you use the median rather than the mean as a measure of central tendency? Why?

A: Mean: The arithmetic mean (also called the mean) is the most commonly used measure of central…

Q: What is the difference between sample means and a distribution of sample proportions?

A: Given : Sample mean : Average of sample observations is known as "sample mean". Sample proportion :…

Q: How do I calculate a 95% confidence level for a sample proportion in excel? Meaning, what formula…

A: Given : Confidence level = CL = 95% = 0.95

Q: What do you think is the reason, why researchers prefer to get a sample from the total population…

A: A researcher can carefully design the study which to a large extent try to prevent the biases and…

Q: Based on the boxplots and the mean/median relationship what is the shape of each data set? Explain…

A: Given:

Q: Consider the mean, median, and mode. Which is the best measure of central tendency? Why

A: Central tendency refers to the idea that there is one number that best summarizes the entire set of…

Q: how does the sample and population relate?

A: Sample and population both are different items, but both are related with each other. Population is…

Q: Why do you think that the mean is the most sensitive measure of central tendency?

A: We know that, mean is the ratio of sum of all observation and number of observation. Let, xi be the…

Q: the sample mean is the best estimate for population mean true or false

A: We have given that  the sample mean is the best estimate for population mean.

Q: What proportion of your confidence intervals include the true population mean? Is this proportion…

A: Consider a confidence interval of 95%. That is, the proportion that the confidence interval will…

Q: What measure of central tendency is most appropriate to use if you want to know the passing score if…

A: Mean: It is an “arithmetic” mean. Mean is probably the most familiar average. The mean (of a set of…

Q: What are two reasons that some people in the field believe significance testing should be banned?…

A: Here we want to discuss reasons that some people in the field believe significance testing should be…

Q: What is the test statistic? And what is the P value?

A: Introduction: Here μd is the true mean difference between the actress’s and actor’s ages. That is,…

Q: Explain why the mean is often not a good measure of central tendency for a skewed distribution.

A: Solution-: We find why is the mean often not a good measure of central tendency for a skewed…

Q: What does Level of Confidence indicates?

A:

Q: Explains the concept of bias, related to the mean, mode, and median.

A: Step 1: Statistical bias refers to the difference between the expected value and the true value of…

Q: Explain how judgement is used in statistical and non-statistical sampling.

A: The statistical sampling is based on the theory of probability. In statistical sampling each element…

Q: What is the effect of increasing the confidence level on the margin of error?

A: The formula for calculating the margin of error is,   The margin of error is directly proportional…

Q: Explain confidence interval?

A: Confidence Interval

Q: Describe about the Level of Significance or p -Value?

A: Level of significance: The significance level is a value used as a criterion for deciding how small…

Q: Explain the concept of Missing Data and Sample Selection?

A:

Q: Descriptive statistics is another way of drawing a conclusion which helps us determine whether the…

A: Descriptive statistics: Descriptive statistics is a part of statistics where the data is summarize…

Q: What are two ways to get a narrower confidence interval for a proportion?

A: Two ways to get a narrower confidence interval for a proportion are:

Q: Is there any bias in the survey question? Explain    What do you think would help students pay…

A: Given survey question: What do you think would help students pay attention in class?

Q: Explain the difference between the individual confidence level and the family confidence level.…

A: Family confidence level: The family confidence level is the confidence where all the confidence…

Q: You want to know what brand of computer students prefer, what statistic is most appropriate

A: In the given problem we have to answer the question of, You want to know what brand of computer…

Q: Explain why the margin of error determines the accuracy with which a sample mean estimates a…

A:

Q: Explain the Interpretation of confidence level.

A:

Q: Explain the effect on the margin of error and hence the effect on the accuracy of estimating a…

A: Effect on margin of error: If the sample size increases, then the standard error of statistic…

Q: Roughly speaking, what are the normal scores corresponding to a sample of observations?

A: The normal scores corresponding to a sample of observations are observations and expect same sample…

Q: Explain the analysis plan that describes how to use sample data to accept or reject the null…

A: Step 2 Formulate an Analysis Plan: Describe the tests that will be appropriate to use to check…

Q: Explain why the use of a level of significance of 5% is not best in all circumstances.

A: There are two types of error, which are as follows Type I : Reject the null hypothesis when it is…

Q: When checking conditions for calculating a confidence interval for a proportion, you should use…

A: This is a question of Theoretical Distribution.

Q: What is the test statistic?   What is the p value?

A: We have given that  Population proportion, p = 0.785 Sample proportion, p^ = 0.36 Sample size = 853

Q: Why are confidence intervals important and what do they mean to a study?

A: The confidence interval at 100 (1 – α) % confidence level gives us an interval estimate about the…

Q: What is Sample Mean?

A: A statistical population is a set of entities from which statistical inferences are to be drawn,…

Q: Why is hair color classified as categorical data?

A: In categorical variable we simply assign labels for identification. Categorical values are discrete…

Q: Explain the difference between the family confidence level and the individual confidence level.

A:

Q: Explain the concept of a 95% confidence interval for the population mean ? by listing (and…

A: 95% confidence interval is an interval in which the population mean falls with probability 0.95 For…

Q: Explain what it means that a sample must be representative of the population.

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

Q: Explain the effect on the margin of error and hence the effect on the accuracy of estimating a…

A: Effect on the margin of error: If the sample size decreases, then the standard error of statistic…

Q: Why would one use the median instead of the mean?

A: Mean: It is the sum of the observations divided by the total number of observations of the data set.…