When I'm trying to infer the population mean from a small sample, why do I have to rely on the t-statistic rather than z-statistics? Thanks.

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Statistics Q&A

Find answers to questions asked by students like you.

Q: When I’m trying to infer the population mean from a small sample, why do I have to rely on the…

A: Assumptions to use standard normal distribution to estimate population mean:The required conditions…

Q: What statistical tool should I use for this problem? A graduating nursing student conducted a…

A: Test of proportion It is used to test which group have more contribution then the other. Suppose…

Q: Why are t statistics more variable than z -scores?

A: t-statistics uses sample variance instead of population variance. t statistics has both s and x̅.

Q: The value of the test statistic is

A: Here Claim is Most adults would erase all of their personal information online if they could. that…

Q: The value of the test statistic is

A: Since the survey has been done over 622 randomly selected adults and it is known that 60% of them…

Q: The value of the test statistic is

A: Click to see the answer

Q: The value of the test statistic is ______________

A: Click to see the answer

Q: how do i find quartile 1 in a set of data?

A: First quartile: The first quartile is the middle-most observation or median of the lower half of the…

Q: Why is the unbiased estimator of variance used?

A: the unbiased estimator of the population variance, corrects the tendency of the sample variance to…

*question_answer*

Q: When do you use the t-statistic and what is the advantage over the z-statistic?

A: Conditions for using t statistic: The t statistic is used in the hypothesis testing, for testing the…

*question_answer*

Q: What is the difference between a population and a sample? Which is described by a parameter and…

A: Determine the difference between the population and sample. The difference between the population…

*question_answer*

Q: The varaibility of a statistic is described by

A: The variability means the spread ness of the data set. The best measure of spread ness is standard…

*question_answer*

Q: What are the steps for a hypothesis test for population mean when the variance is known?

A: Given the variance for hypothesis test for population , To write the steps for the hypothesis test…

*question_answer*

Q: What kind of test is used to solve the test statistic value for the population proportion?

A: We want to tell you what kind of statistic and test are used for population proportion.

*question_answer*

Q: What is a T-Test? How is it applied to a Single Population Data Set?

A: Student's t-test was given and first used by W.S. Gosset in 1908. The statistician W.S. Gosset is…

*question_answer*

Q: A sales force of a major restaurant chain was trying to determine which item would be more popular…

A: Some of the different types of statistical procedures are given below: ANOVA Cluster Analysis…

*question_answer*

Q: A sales force of a major restaurant chain was trying to determine which item would be more popular…

A: Given Information: The restaurant wants to try which item would be more popular among the customers.…

*question_answer*

Q: What is a T-Test and how is it applied to a Single Population Data Set?

A: Our aim is to answer the following : What is a T-Test ? How is it applied to a Single Population…

*question_answer*

Q: How would you explain the analysis of variance, assuming that your audience has not had a statistics…

A: Click to see the answer

*question_answer*

Q: What is the chi-square test-statistic for this data?

A: We have to conduct test of homogeneity for the claim that two different populations have the same…

*question_answer*

Q: What approach would you use for testing of hypothesis for population correlation coefficient (?).

A: There are two approaches for testing of hypothesis for population correlation coefficient. The…

*question_answer*

Q: Why does the ANOVA use the variance differences, and not use mean differences from the data?

A: Why does the ANOVA use the variance differences, and not use mean differences from the data: ANOVA…

*question_answer*

Q: . What statistical test should he use to analyze the data?

A: Click to see the answer

*question_answer*

Q: A researcher is looking at the relationship between rates of lung cancer and smoking status. they…

A: There are two variables in the study; *Smoking status of subjects, in terms of yes or no. *Lung…

*question_answer*

Q: What is the value of the test statistic?

A: Given : n1=60 , n2=60 , X1-bar=51900 , X2-bar=53200 , s1=6000 , s2=6000 ,α=0.05 Our aim is to the…

*question_answer*

Q: How can I describe this set of data based on statistics?

A: Following observations can be made from the given data. Standard deviation has a lower value as…

*question_answer*

Q: Give one method to increase statistical power and Which test statistic should you use if you are…

A: Given problem Given that Method to increase the statistical power : a) Increase the sample size…

*question_answer*

Q: A major company would like to assess the relationship between self confidence and sales levels in…

A: In this case, we will use correlation coefficient.

*question_answer*

Q: Why are t statistics more variable than z scores?

A: t-statistic=x¯-μsn and Z statistic=x¯-μσ.

*question_answer*

Q: What advantages and/or additional information does LINEST offer compared to other statistical…

A: The LINEST function calculates the statistics for a line by using the "least squares" method to…

*question_answer*

Q: Why is the formula for sample variance different from the formula for population variance ?

A: The sample variance is calculated on the same lines as the population is calculated with the same…

*question_answer*

Q: Why is the formula for sample variance different from the formula for population variance?

A: Click to see the answer

*question_answer*

Q: What statistical analysis should I use for Likert scale data ?

A: we know that, Likert scale data is a series of four or more Likert type items and is regarded as an…

*question_answer*

Q: Why Squared Correlation Coefficient Does Not Apply to Individual Scores?

A: Squared Correlation coefficient: Squared correlation coefficient is also known as coefficient of…

*question_answer*

Q: When should you use a one-way ANOVA to analyze your data? Distinguish between one–way ANOVA for…

A: ANOVA compares one or more population mean scores with each other on the basis of the sample data;…

*question_answer*

Q: What is the difference between t-statistic and z-score

A: Click to see the answer

*question_answer*

Q: What are some of the most basic statistic formulas used in excel for the Hospitality carrier field?

A: Some of the basic formulas are given as mean, median, mode, quartiles etc

*question_answer*

Q: A researcher conducted a research that majority of people who died during pandemic bought a new…

A: Given: Research that majority of people who died during pandemic

*question_answer*

Q: Why should you use ANOVA instead of several t tests to evaluate mean differences when an experiment…

A: T-test: The type of test in inferential statistics helps to find whether there is any difference in…

*question_answer*

Q: Why should you use ANOVA instead of several t tests to evaluate mean differences when an experiment…

A: In statistics Analysis of variance (ANOVA) is a collection of statistical models. An ANOVA provides…

*question_answer*

Q: How do you find the standard error estimate of two disjoint populations, assuming they have the same…

A: Click to see the answer

*question_answer*

Q: when do we use the statistical treatments

A: I will discuss when we have to use statistical treatments

*question_answer*

Q: When a data set has one or two values that are much higher than all of the others which of our 3…

A: As Mean is found by adding all the values and dividing by the number of values So if one or two…

*question_answer*

Q: If you were really a television network executive, you would not hire multiple market research firms…

A: Answer : Option (a) ✔️

*question_answer*

Q: How do I use Excel to calculate the SAMPLE STD DEVIATION of a column?

A: Standard deviation: The standard deviation indicates by how much each observation differs from a…

*question_answer*

Q: Standard scores, such as z scores, allows us to make comparisons across different samples. Why is…

A: Standard score is the measure of the units of standard deviation between any given raw score and the…

*question_answer*

Q: What are the appropriate statistical tool when dealing with a likert type of data? Kindly expound…

A: Given information: It is required to name a appropriate statistical tool for dealing with Likert…

*question_answer*

Q: What is the Standard test statistic?

A: Hypotheses:

*question_answer*

Q: How to differentiate dependent and independent samples?

A: It is a subset of the population. In other words, it is a representative part of the population.

*question_answer*

Q: The single value of a sample statistic that we assign to the population parameter is a:

A: Click to see the answer