What are the steps for a hypothesis test for population mean when the variance is known?
Q: Explain how the F-test statistics is calculated and what it tells us about the variance between and…
A: In ANOVA, “SS” stands for “sum of squares”, “df” stands for degrees of freedom, F is for the test…
Q: One way analysis of variance is used to test for
A: One way analysis of variance also known as ANOVA.
Q: How did we use Cochran's Theorem to develop inference procedures for variances? What kind of data…
A: Cochran's theorem is used to establish the results which is relating to the probability…
Q: what is variance? How do you calculate variance?
A: Variance:Variance is the average of squared difference of sample points from their mean. It is a…
Q: Explain the significance of the mean, variance, and standard deviation for a random variable. Do the…
A: Significance of mean, standard deviation and variance is – Mean: it implies average and the sum of…
Q: How can you identify different steps of testing of hypothesis for population variance
A: Following are steps of testing of hypothesis for population Variance : Step-i : Verify the…
Q: What does sample variance measures in F test?
A: F-test is used to test whether the observations in two groups have same variability. Let X1, X2, …,…
Q: How do you find the margin of error for the difference of population means if we assume both…
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Q: How do I use Excel to calculate the SAMPLE VARIANCE of a column?
A: The sample variance of a column data can be obtained using excel function as follow: Enter the data…
Q: How can the sample covariance be used to estimate the covariance of random variables?
A: The covariance is used to measure the relationship between two random variables, that is, to what…
Q: An analysis of variance is used to compare the differences in for more than 2 populations. O…
A: According to the given information in this question. We need to identify the missing term from the…
Q: True or False In general, a sample with a large variance is more likely to produce a significant…
A: Note that as the variance increases, p-value also tends to increase. To produce a significant…
Q: What is the benefit of modeling a random variable with a normal distribution
A: Here we have to give the reason for the benefit of modeling a random variable with a normal…
Q: How is the analysis of variance (ANOVA) specifically the F-Test, a signal to noise ratio?
A: ANOVA is a study which is non parametric. ANOVA stands for "Variance Analysis" and is used to…
Q: 3. What is the test variate used when the population variance is unknown and when the population…
A: There are two tests used for testing the population mean i.e. t-test and z-test. The t-test is used…
Q: What does the variance of a random variable measure? What is the standard deviation of a continuous…
A: Variance of a random variable measures how far a set of (random) numbers are spread out from their…
Q: How can we calculate the probability-weighted average of the squared deviations?
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Q: As the true population mean moves away from the hypothesized mean, the power of the test decreases.…
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Q: For tests of Homogeneity of Variance the preferred outcome is to reject the Null hypothesis. True…
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Q: A sample of 46 observations gave sample mean 20 and coefficient of variation 0.6 Then the sample…
A: Given n=46, Xbar=20, CV=0.6
Q: What are the three value to indicate variability of a data set How do you determine whether it is…
A: Variability : It refers to the difference being shown by the data points within a data set, as…
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…
Q: please explain how to use the standard deviation from the 1-Var Stats statistical output to obtain…
A: Hint: Standard devation =Variance
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…
Q: Explain Two-Way Analysis of Variance?
A: ANOVA: Anova is used for comparing the means whether they are equal or different.
Q: Should be consider this score unusual? What is the value of the test statistic?
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Q: Give examples of at least two pairs of data that will most likely yield different variance and…
A: The answer to the above question is as follows :
Q: what happens to the F-statistic if two variances are different?
A: The two variances are different hence the F-statistic are as follows,
Q: Distinguish Sample Range from Sample Variance
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Q: what test is used to determine whether two population means are different when the variance are…
A: The test that is used to determine if the two population means are different when the population…
Q: Why is the formula for sample variance different from the formula for population variance?
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Q: How do you find variance with only the standard deviation and number of values?How do you find…
A: Variance is square of standard deviation. So, if you are given standard deviation, then simply…
Q: Give a simple explanation on why statisticians think the sample variance is biased estimator of the…
A: Sample variance is a biased estimator of population variance whereas sample mean square is an…
Q: When I'm trying to infer the population mean from a small sample, why do I have to rely on the…
A: The assumptions for the z-statics is appropriate as given below:The samples are randomly selected…
Q: Estimate the population variance assuming homogeneity of variance?
A: The assumption of homogeneity of variance indicates the assumption that the population variances are…
Q: For an analysis of variance, "two-way" refers to the direction that traffic should follow on the…
A: In this case, we need to identify the correct option for the given statement.
Q: What are 6 real world applications of the two sample t test (equal variance)?
A: Two-Sample T-Test(equal variance) It is a hypothesis testing of the means of the two samples. It is…
Q: TRUE OR FALSE. If the population variances are unknown but can be assumed to be equal, a pooled…
A: Given the statement that if the population variances are unknown but can be assumed to be equal, a…
Q: The distribution of sample means will always be normal if taken from a normal population. True or…
A: We know that if population is normally distributed then the distribution of sample means will always…
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: How do you find sample variance and population variance?
A: Sample Variance: The variance is calculated using the sample data as given the sample variance.…
Q: Best way to explain the difference between variance and standard deviation?
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Q: when using a sample to estimate the variance in the population, you should use n-1 in the…
A: If we are using (n-1) in denominator in the estimation of variance in the population. Than we have…
Q: We have to compare the result of all variables using range,interquatile range,variance and standard…
A: As asked, for the given data we have to compare the result of all variables using the range,…
Q: Describe a scenario where a researcher could use an F-test for the equality of two variances to…
A: F-test can be used when we are given two groups and we want to compare the differences in the…
Q: Explain whether homogeneity of variance is satisfied for this analysis, and be clear on how you…
A: Homogeneity of Variance: Homogeneity of variance (homoscedasticity) is a crucial assumption shared…
Q: If we could not measure the population mean, we could use the sample mean as a point estimator of…
A: Given: we could not measure the population mean, we could use the sample mean as a point estimator…
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…
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