Randomly selected 10 student cars have ages with a mean of 7.5 years and a standard deviation of 3.4 years, while randomly selected 10 faculty cars have ages with a mean of 5.3 years and a standard deviation of 3.3 years.
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- You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n=18,you determine that b1=4.6 and Sb1=1.9. c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, β1.The data below show consumption of chicken and its real price at GIMPAConsumption (Y ) 3 3.15 2.34 2.70 3.4 6.3 3.3 4.2 5. 6 3.7Price ( X ) 12 14 4.8 13.9 14 .9 18.2 12 14.3 17 .2 16.1Calculate viii. Predict the monthly consumption for a student with 10 Ghana cedis.ix. Compute the standard deviation of errors.x. Construct a 90% confidence interval for B.xi. Test at the 5% significance level whether B is negative.Test the null hypothesis that the slope is zero versus the two-sided alternative in the following setting using the alpha = 0.05 significance level: n = 100, yhat = 29.3 + 2.1x, and SEb1 = 1.05.
- Independent random samples of 17 sophomores and 13 juniors attending a large university yield the following data on grade point averages: sophomores juniors x bar 2.84 2.75 n 17 13 s 0.52 0.31 Add the 5% significance level, does the data provide sufficient evidence to conclude that the mean GPAs of sophomores at the University are better than the juniors? 1. choose the correct parameter for the problem a. Mu1: the average GPAs of all sophomores attending a large university ; Mu2: the average GPAs of all juniors attending a large university b. All sophomores attending a large university; all juniors attending a large university c. The average GPA of all students attending a large…You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n=18, you determine that b1=5.2 and Sb1=1.2. a. What is the value of tSTAT? b. At the α=0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, β1.given:n = 16observed sample mean x¯ = 8.9observed sample variance s2 = 25μ0 = 10.5part a) find the observed test statistic for testing H0: μ=μ0 versus H1: μ≠μ0 part b) the p-value and significance at the 5% levelpart c) the confidence interval at 95%
- Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was0.110.11 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. (b) Construct a 98% confidence interval about the sample mean concentration of calcium precipitation. (c) below. data table 0.074 0.079 0.073 0.272 0.127 0.189 0.117 0.223 0.305 0.115The following scores are from an independent-measures study comparing two treatment conditions. a. use an independent-measures t test with alpha level = 0.05 to determine whether there is a significant mean difference between the two treatments. b. use an ANOVA with alpha level = 0.05 to determine whether there is s significant mean difference between the two treatments. You should find that F=t2. Treatment I Treatment II 10 7 8 4 7 9 9 3 13 7 7 6 6 10 12 2 N=16 G=120 ∑X2=1036(d) Test the hypothesis that the variances of the measurements made by the two technicians are equal.Use What are the practical implications if the null hypothesis is rejected?(e) Construct a 95% confidence interval estimate of the ratio of the variances of technicianmeasurement error.(f) Construct a 95% confidence interval on the variance of measurement error for technician 2.(g) Does the normality assumption seem reasonable for the data?
- In Exercises, presume that the assumptions for regression inferences are met.Plant Emissions. Following are the data on plant weight and quantity of volatile emissions from Exercise. x 57 85 57 65 52 67 62 80 77 53 68 y 8.0 22.0 10.5 22.5 12.0 11.5 7.5 13.0 16.5 21.0 12.0 a. Obtain a point estimate for the mean quantity of volatile emissions of all (Solanum tuberosum) plants that weigh 60 g.b. Find a 95% confidence interval for the mean quantity of volatile emissions of all plants that weigh 60 g.c. Find the predicted quantity of volatile emissions for a plant that weighs 60 g.d. Determine a 95% prediction interval for the quantity of volatile emissions for a plant that weighs 60 g.ExerciseApplying the Concepts and SkillsIn Exercises, we repeat the information from Exercises. For each exercise here, discuss what satisfying Assumptions 1–3 for regression inferences by the variables under consideration would mean.Both, the Cohen's d and confidence interval, measure the impact of the IV on the DV. The only difference is that the confidence interval does so for the population, whereas the Cohen's d does so for the sample.Which way of dispensing champagne, the traditional vertical method or a tilted beer-like pour, preserves more of the tiny gas bubbles that improve flavor and aroma? The following data was reported in an article. Temp (°C) Type of Pour n Mean (g/L) SD 18 Traditional 4 4.0 0.7 18 Slanted 4 3.7 0.3 12 Traditional 4 3.3 0.4 12 Slanted 4 2.0 0.2 (a) At a significance level of 0.01 , calculate the test statistic and P-value for the 18° temperature. (Round your test statistic to one decimal place and your P-value to three decimal places.) (b) Repeat the test of hypotheses suggested in (a) for the 12° temperature. calculate the test statistic and P-value (Round your test statistic to one decimal place and your P-value to three decimal places.).