The degrees of freedom for the F test for the One-Way ANOVA depends on:
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sample size and the number of groups - total sample size
- number of groups
- magnitude of the variance
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- Ten randomly chosen participants in a Math Training Program took a pretest and a posttest. Test at 0.05 level of significance whether the variance of the posttest scores is significantly different from the variance of the pretest scores. Use the data the following data. [pretest: 5, 6,7,7,7,8,8,9,9,10] [posttest: 6,7,9,8,7,913,10,11,6]What are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg/g. 5.98 5.50 20.54 3.03 6.46 Identify the null and alternative hypotheses. Ho: H 14 H₁: μ 14 (Type integers or decimals. Do not round.) Identify the test statistic. = (Round to two decimal places as needed.) 7.45 12.01 20.47 11.48 17.53 D S Vi I. (1,0) More
- Class 1 Final Sample Size: 30 Sample Variance: 80.55 Sample Mean: 44.2917 Class 2 Final Sample Size:30 Sample Variance: 55.29 Sample Mean: 36.4833 The assignment says to use the Z test for means and assume the hypothesized difference is 0. 1. Is there a significant difference in the means of the two finals at the .01 level of significance? 2. Why or why not?A senlor accounting major at MIidsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before recelving a raise in salary? Using the following ANOVA table, Is there a difference in the mean number of months before recelving a ralse among the four firms? Use the 0.01 level of significance. Analysis of Variance Source df SS MS Factor 27.17 9.06 5.06 0.015 Error 13 23.22 1.79 Total 16 50.39 a. What are the null and alternate hypotheses? Ho: H b. What Is the test statistic? (Round your answer to 2 decimal places.) The test statistic is c. What Is the p-value? (Round your answer to 3 declmal places.) p-valueA real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below. Mean Variance Observations Southern Northern 155.056 168.889 345.938 560.928 18 Pooled Variance 453.433 Hypothesized Mean Difference df 34 1949 t Stat P(T<=t) one-tail p= Ex: 1.234 0.030 2.441 0.060 t Critical one-tail P(T<=t) two-tail t Critical two-tail 2.728 2. Confidence Level 99% t = Ex: 1.234 n= Ex: 9 Degrees of freedom: df = Point estimate for the southern part of the county: 1 Ex: 1.234 Point estimate for the northern part of the county: 2 0耳_ 国 23 72°F
- A sports researcher is interested in seeing if sports teams from the West Coast, Midwest, and East Coast fare differently in terms of the mean number of championships that they win. Each number below represents an individual observed sports team (X) that the researcher sampled. West Coast Midwest East Coast 7 2 11 3 4 9 Mwest = Mmid = Meast = nwest = nmid = neast = N = GM = Perform a one-way ANOVA to determine if there is a significant difference between regions in terms of the number of championships that teams win. 1. State the Main and Null Hypotheses. Assume alpha = .05 2. Find the critical F…The light bulbs produced by a generic manufacturer have a stated average life of 1,146 hours . Assume that the lifetimes of the bulbs are normally distributed with a standard deviation of 100 hours . Find the probability that a light bulb from this manufacturer will last longer than 1, 271 hours . Round your answer to four decimal places.describe the difference between a one-sample t-test, a two-sample (independent-samples) t-test, a repeated measures (related-samples) t-test, and the analysis of variance (ANOVA).
- One-way ANOVA has more assumptions than the independent samples t test. Group of answer choices True FalsePerform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant. Guernsey Jersey Holstein 4.51 4.59 3.43 5.26 6.67 3.68 5.81 5.39 3.72 5.14 4.38 3.76 4.55 4.99 4.43 4.86 5.49 3.84 4.69 5.43 3.54 4.12 5.02 4.18 5.44 5.16 3.4 4.69 5.15 3.77 5.24 5.76 4.03 4.62 5.34 3.63 4.61 5.11 3.37 5.02 4.75 3.54 4.67 5.07 3.64 4.59 4.42 3.98 4.92 6.13 5.58 4.6 5.6 5.83 1. Compute the treatment sum of squares (SSTr) and the error sum of squares (SSE) and use them to complete the following ANOVA table. (Round your answers to 4 decimal places). Source S.S. df M.S. F Treatment Error Total 2. Compute the p-value. (Round your answer to 4 decimal places.)p-value =A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below.