Suppose a sample 30 observations is drawn from a population with variance population with variance population is 4.55 and the sample variance is 6.7. Test the hypothesis that the sample comes from a population with a variance greater than 4.55 at a 5% level of significance.

Q: a. Three fertilizer treatments, A, B, C, each applied to seven plots of strawberry plants, resulted…

A: The method Analysis of variance is used to determine the significant mean difference between 3 or…

Q: Suppose a population has three values 13, 17 and 24. What is its variance?

A: Given: n=3 The mean of the data is obtained as below: Mean=∑xn=13+17+243=543=18 The mean is 18.

Q: A sample of 6400 cases is drawn at random from a large population. The Variance is 100. Calculate…

A: Sample size, n = 6400 Variance = 100 Standard deviation = VarianceStandard deviation = 100Standard…

Q: A study compared physical activity among 4 different professions.   A total sample size of 32…

A: Provided : Number of different groups , K = 4 Total sample size , N = 32 Members in each group = 8…

Q: What is an everyday example of variance within samples?

A: If we need to know the variance within samples, we need to use ANOVA Test.

Q: Suppose that 10 observations are drawn from a normal population whose variance is 64. The…

A: Given that the population variance is 64. Sample size is 10. σ2=64n=10 Claim: There is enough…

Q: Perform the analysis of variance (ANOVA) at the 5% significance level to identify is there any…

A: Excel Procedure: Enter the data for 1, 2, 3 in Excel sheet>Go to Data Menu>Click on Data…

Q: Data and Two-Way ANOVA Results If appropriate, test for an effect from the row factor. Choose the…

A: The question is about two way ANOVA Given : Test stat of Interaction = 3.35172 Test stat of Row…

Q: What is formula for variance for sample?

A: Variance measures absolute variability in a data set, calculated with respect to the mean. That is,…

Q: The researchers want to determine if there is a significant difference between the academic…

A: Given that  For Male  Sample size (n1)=6 Sample Mean (x̄1)=89.5 Sample variance (s12)=30.2 For…

Q: A pooled variance estimate is useful for two-sample hypothesis tests of a normal mean when the…

A: It is given that the population variances are equal.

Q: What formula is used to calculate the sample variance?

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Q: A researcher has collected the following sample data: 3, 5, 12, 3, 2. The mean of the sample is 5.…

A:

Q: Data is collected to compare two different types of batteries. We measure the time to failure of 10…

A: Given that, Mean1, X1 bar= 8.65 Mean2, X2bar=11.23 Variances are equal so standard deviations will…

Q: If a set of data is normally distributed with a mean of 20 and a variance of 16, a z-score of -3.8…

A: Let raw score is X.  Then Z Score is given by, Z= (X- mu)/sigma Where mu is mean  And sigma  is…

Q: a sample of 60 grade 9 student age was obtained to estimate the mean age of all grade 9 students. x…

A: A sample of 60 Grade 9 students' ages was obtained to estimate the mean age of all Grade 9 students.…

Q: Give 2 examples of Variance and standard deviation for grouped data to coefficient of skewness and…

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Q: What is the variance and standard deviation of this data

A: Given that We have to find Variance and standard deviation :

Q: Should be consider this score unusual? What is the value of the test statistic?

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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: To determine whether owning a car affects a student's academic performance, two random samples of…

A: Introduction: Denote μ1, μ2 as the true population mean grade point averages of male students who…

Q: An employer measured the number of units sold by his 400 sales employees. He noted that 40 woman…

A: Given data  n1=40, sample mean x̄1=122, s21=60 n2=35, sample mean x̄2=126, s22=74, level of…

Q: what test is used to determine whether two population means are different when the variance are…

A: Solution :  when the variance are known and sample size is large then we use z test to determine…

Q: The standard error of a 16-unit sample of a variable with a mean of 20 and a variance of 64

A: Given data,Mean μ=20Variance σ2=64standard deviation =Varianceσ=64σ=8If n=16Standard error(σx)=?

Q: What is the best point estimate for the population's variance if the sample variance is 41?

A: Given,sample variance(s2)=41

Q: The director of research and development is testing a new medicine. She wants to know if there is…

A: Solution:  Given information: n= 45 Sample size  x= 323    Sample mean μ= 318   Population mean σ2=…

Q: The best way to reduce the variances in the distributions of means when conducting a t test for…

A: The sample size would be in the denominator of the formula for variance of distribution of means.…

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…

Q: A drug which is used for treating diabetes has potentially dangerous side effects if it is taken in…

A: From the provided data it is interpreted that: For Tablet A: The sample size, n1=11; The sample…

Q: Male Female n1= 12 n2= 8 M1= 99.17 M2 = 67.25 SS,= 62.73 SS2 = 38.297 df = n1 +n2 -2 = 12 +8-2 df =…

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Q: A SAMPLE SIZE OF 36 WAS DRAWN AND ITS MEAN WAS FOUND TO BE 80. TEST WHETHER THIS SAMPLE COULD HAVE…

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Q: Explain the circumstances under which we would need to pool the variance for an independent samples…

A: The pooled sample variance offers a higher precision estimate of the variance than the individual…

Q: The F-statistic is a ratio score resulting in a measure of the estimated proportion of variance due…

A: The F-statistic is a ratio score resulting in a measure of the estimated proportion of variance due…

Q: the homogeneity of variances assumption states that the variance in the two samples must be equal?…

A: Homogeneity of variances always make about the population variance not about sample.

Q: A sampie of 20 people has a mean age of 32 with a variance of 2. Test the hypothesis that the…

A: Given, n = 20 X¯ = 32S2=2S = 1.4142      To find, test the hypothesis that the population mean age…