what parameter restriction is tested by a comparison of the sample autocorrelation r1 with its ±2/ v n critical bounds? What parameter restriction is tested by the Box- Pierce-Ljung statistic at k = 1? %3D
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- Find the t values that form the boundaries of the critical region for a two-tailed test with α = 0.10 for a sample size ofExpression levels of GeneA and GeneB were measured in 10 cell lines. The researcher would liketo know if expression levels of GeneA and GeneB are related.a. Use a parametric method to test if GeneA and GeneB are correlated.b. Use a non-parametric method to test if GeneA and GeneB are correlated. Carry out all above tests for α = 0.05.Please solve manually not using software program .The following results were obtained by regressing mean hourly wage in dollars (Y) on years of schooling (X). Dependent Variable: MEAN_WAGE Method: Least Squares Date: 02/15/15 Time: 11:11 Sample: 1 13 Included observations: 13 Variable Coefficient Std. Error t-Statistic Prob. C -0.014453 0.874624 -0.016525 0.9871 YEARS_SCHOOLING 0.724097 0.069581 10.40648 0.0000 R-squared 0.907791 Mean dependent var 8.674708 Adjusted R-squared 0.899409 S.D. dependent var 2.959706 S.E. of regression 0.938704 Akaike info criterion 2.852004 Sum squared resid 9.692810 Schwarz criterion 2.938920 Log likelihood -16.53803 Hannan-Quinn criter. 2.834139…
- What is the kurtosis for the distribution of scores with a mean of 9.02 and a mode of 3?With a = .01, the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ?The least-squares regression line for a set of (Age, Skill_Score) data is yn = 5.0x + 0.7. The data point for age 6has residual -1.4. What is the skill score for age 6?A) -4.6 B) 4.6 C) 29.3D) 30.7 E) 32.1
- A sample of 100 grade 10 students age was obtained to estimate the mean of all grade 10 students. Given x = 15.3 years and the population variance is 16The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given in the picture below. State the null and alternative hypothesis for single factor ANOVA. State the decision rule (α = 0.05). Calculate the test statistic. Make a decision.What is the critical region to reject the null hypothesis in this image and where is the accepted region to accept the null hypothesis in this image? List this in relationship to the lower and higher accepted values. Critical region: Accepted region:
- The Batteries sheet of the Data Excel file shows the results of two random samples that measured the average number of minutes per charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH) rechargeable batteries. Perform a hypothesis test using significance level (α) = 0.05 to determine if the true average number of minutes per charge for NiMH batteries is smaller than that for Li-ion batteries. Let:µLi-ion be the true average number of minutes per charge for Li-ion batteries µNiMH be the true average number of minutes per charge for NiMH batteries. t-Test: Two-Sample Assuming Unequal Variances NiMH Li-ion Mean 89.35714 95 Variance 3.93956 59.75 Observations 14 17 Hypothesized Mean Difference 0 df 19 t Stat -2.89621 P(T<=t) one-tail 0.004628 t Critical one-tail 1.729133 P(T<=t) two-tail 0.009255 t Critical two-tail 2.093024 Based on the…The t values that define the critical region for a two-tailed independent samples t test using a = 0.05 with sample sizes of n= 17 and n = 8 are t= +2.060. True or False2. The average zone of inhibition (in mm) for mouthwash L as tested by the medical technology students has been known to be 9mm. A random sample of 10 mouthwash L was tested and the test yielded an average zone of inhibition of 7.5mm with a variance of 25 mm. Is there enough reason to believe that the anti-bacterial property of the mouthwash has decreased? Test the hypothesis that the average zone of inhibition of the mouthwash is no less than 9mm using 0.05 level of significance. A. State the hypotheses. B. Determine the test statistic to use. C. Determine the level of significance, critical value, and the decision rule. D. Compute the value of the test statistic. E. Make a decision. F. Draw a conclusion.