on region for the single factor anova is located where
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The rejection region for the single factor anova is located where
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- Explain Distribution of the F-Statistic using the homoskedasticityonlyestimator of the covariance matrix?Claudia’s bakery business has taken off. Her goods are so popular that she has decided to invest in kitchen equipment that will do some of the work for her. One machine in particular prepares bread dough, and it is set to measure 7 grams of yeast per loaf. Because baking requires precise measurements, she wants to test the new machine to make sure that the variance in the amounts of yeast per loaf is less than 0.27, at the 0.10 level of significance. A sample of the amounts of yeast added to the dough for 15 loaves has a variance of 0.17. Does this evidence support the claim that the new machine produces dough with a variance in the amounts of yeast per loaf of less than 0.27? Assume that the amounts of yeast per loaf are normally distributed. Step 1 of : State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ2=0.27 Ha: σ2⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.27An agriculture company wants to determine if a new fertilizer has a significant effect on crop yields. The null hypothesis is that the fertilizer has no effect on crop yields, meaning that the average yield with the fertilizer is equal to the average yield without the fertilizer. The company conducts an ANOVA test and obtains an F-statistic of 3.2 and a numerator degrees of freedom of 3 and denominator degrees of freedom of 20. What is the p-value of the hypothesis test?
- Claudia’s bakery business has taken off. Her goods are so popular that she has decided to invest in kitchen equipment that will do some of the work for her. One machine in particular prepares bread dough, and it is set to measure 99 grams of yeast per loaf. Because baking requires precise measurements, she wants to test the new machine to make sure that the variance in the amounts of yeast per loaf is less than 0.32, at the 0.05 level of significance. A sample of the amounts of yeast added to the dough for 11 loaves has a variance of 0.18. Does this evidence support the claim that the new machine produces dough with a variance in the amounts of yeast per loaf of less than 0.32? Assume that the amounts of yeast per loaf are normally distributed. Step 1 of 3 : Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below.Before the furniture store began its ad campaign, it averaged 200 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 16 randomly selected days since the ad campaign began is shown below: 209, 193, 187, 205, 209, 218, 211, 223, 229, 199, 207, 209, 207, 210, 202, 233 Assuming that the distribution is normal, what can be concluded at the α = 0.10 level of significance? The test statistic = ______________ (please show your answer to 3 decimal places.)Claudia’s bakery business has taken off. Her goods are so popular that she has decided to invest in kitchen equipment that will do some of the work for her. One machine in particular prepares bread dough, and it is set to measure 8 grams of yeast per loaf. Because baking requires precise measurements, she wants to test the new machine to make sure that the variance in the amounts of yeast per loaf is less than 0.31, at the 0.05 level of significance. A sample of the amounts of yeast added to the dough for 14 loaves has a variance of 0.12. Does this evidence support the claim that the new machine produces dough with a variance in the amounts of yeast per loaf of less than 0.31? Assume that the amounts of yeast per loaf are normally distributed. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ2=0.31 Ha: σ2⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.31
- It was also asking for rejection region. What would that be?Before the furniture store began its ad campaign, it averaged 242 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below: 246, 261, 265, 253, 238, 267, 225, 272, 254, 259, 228, 255 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean number of customers since the ad campaign began is not significantly more than 242 at αα = 0.05, so there is insufficient evidence to conclude that the…Claudia’s bakery business has taken off. Her goods are so popular that she has decided to invest in kitchen equipment that will do some of the work for her. One machine in particular prepares bread dough, and it is set to measure 9 grams of yeast per loaf. Because baking requires precise measurements, she wants to test the new machine to make sure that the variance in the amounts of yeast per loaf is less than 0.33, at the 0.10 level of significance. A sample of the amounts of yeast added to the dough for 18 loaves has a variance of 0.15. Does this evidence support the claim that the new machine produces dough with a variance in the amounts of yeast per loaf of less than 0.330.33? Assume that the amounts of yeast per loaf are normally distributed. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ2= 0.33: Ha: σ2⎯⎯⎯⎯ 0.33
- A consumer research firm wants to compare three brands of radial tires (X, Y, and Z) in terms of tread life over different road surfaces. Random samples of four tires of each brand are selected for each of three surfaces (asphalt, concrete, gravel). A machine that can simulate road conditions for each of the road surfaces is used to find the tread life (in thousands of miles) of each tire. Construct an ANOVA table and conduct F-tests for the presence of nonzero brand effects, road surface effects, and interaction effects. a = 1%. Surface Brand Y Asphalt 36. 39. 39. 38 42.40.39.42 32.36. 35. 34 Concrete 38.40.41. 40 42.45.48. 47 37.33.33.34 Gravel 34.32, 34.35 34.34. 30, 31 36. 35.35.33A researcher would like to conduct a hypothesis test to determine if the mean age of faculty cars is less than the mean age of student cars. A random sample of 25 student cars had a sample mean age of 7 years with a sample variance of 20, and a random sample of 32 faculty cars had a sample mean age of 5.8 years with a sample variances of 16. What is the critical value of the rejection region if the difference is taken as student - faculty and the test is conducted using a 5% significance level?