Y Part 1 of 4A beverage company has two bottling plants in different parts of the world. To insure uniformity intheir product, the variances of the weights of the bottles at the two plants should be equal. ButParvez, the company's vice president of quality assurance, suspects that the variance at bottlingplant A is less than the variance at bottling plant B. To test his suspicions, Parvez samples 34 bottlesfrom bottling plant A and 34 bottles from bottling plant B, with the following results (in ounces):Bottling Plant A:12.4, 12.5, 12, 13.3, 11.6, 11.9, 12.7, 13.1, 14.1, 12.4, 12, 12.4, 12.9, 12.2, 12.6, 12.7, 12.3, 12.5, 12.7,12.7, 12.8, 12.8, 13.6, 11.4, 12.4, 12.5, 13.1, 12.6, 13.1, 12.6, 12.2, 12.9, 12.7, 13.5Bottling Plant B:12.1, 12.3, 12.2, 12.2, 12.4, 12.2, 12.2, 12.5, 12.4, 13.1, 12.2, 12.6, 12.1, 11.9, 13.2, 11.2, 12.9, 13.1,11.6, 13.5, 12, 12.3, 12.4, 13, 12.9, 12.9, 12.4, 13.2, 12.5, 12.9, 13, 13.1, 12.3, 11.6Perform a hypothesis test using a 7% level of significance to test Parvez's suspicions.Step 1: State the null and alternativehypotheses.Ho: EH₂:(So we will be performing a left-tailed1We will use a(n) FdfA= 33Y Part 2 of 4Step 2: Assuming the null hypothesis is true, determine the features of the distribution oftest statistics.p-value = 0.5944P(F≤V✔ 1.0874✓and denominator degrees of freedom dfB = 33Step 3: Find the p-value of the test statistic.ZA = 12.6235✓✓test.)SA= 0.5461distribution with numerator degrees of freedom=0.5944F = = 1.0874Question Help: D Post to forumSubmit QuestionStep 4: Make a Conclusion About the null hypothesis.Since the p-value = 0.59447100682213 ✓✓ER= 12.482358B= 0.5237= a, we do not reject▼ Part 3 of 4Part 4 of 4the null hypothesis.We cannot conclude the variance at bottling plant A is less than the variance at bottling plant B.OWe conclude the variance at bottling plant A is less than the variance at bottling plant B.

The given level of significance is 7%.

Answered: Step 4: Make a Conclusion About the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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#14 please answer and show solution, thank you!
Experiment 3: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the mean time studying for females is significantly more than the mean study time for males. It can be assumed that all study times are normally distributed. Are these samples independent or dependent? Find the null and alternative hypothesis. H0: Ha:
Q2C. Considering the following MA(3) process: Yt=ut 0.7ut-1 - 0.2ut-2 +0.4ut-3 Where ut is a white noise process with variance equal to 1. What is the value Yk = cov(yt, Yt-k) for k = 0? Provide the correct answer along with the working steps and underlying assumptions used to calculate the value of yk = cov(yt, Yt-k) for k = 0. i. Yo = 1.69 ii. Yo = 0.63 iii. Yo = 1 iv. Yo = 0
You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a mean defined as µ₁ and process 2 has a mean defined as µ2. The null and alternative hypotheses are Ho: μ₁ −μ₂ ≤0 and H₁ : µ₁ −µ₂ > 0. The process variances are unknown but assumed to be equal. Using random samples of 36 observations from process 1 and 49 observations from process 2, the sample means are 60 and 50 for populations 1 and 2 respectively. Complete parts a through d below. Click the icon to view a table of critical values for the Student's t-distribution. a. Can you reject the null hypothesis, using a probability of Type I error α = 0.05, if the sample standard deviation from process 1 is 28 and from process 2 is 23? (Round to three decimal places as needed.) The test statistic is t =
Please help me understand this. A sample of n=31n=31 data values randomly collected from a normally distributed population has variance s2=27.5s2=27.5. We wish to test the null hypothesis H0:σ2=52.4H0:σ2=52.4 against the alternative hypothesis H1:σ2<52.4H1:σ2<52.4 at a significance of α=0.01α=0.01. What is the value of the test statistic? Write your answer rounded to 3 decimal places. What is the critical value? Write your answer rounded to 3 decimal places. Do we reject the null hypothesis? We fail to reject the null hypothesis. We reject the null hypothesis.
Suppose data is obtained from 20 pairs of (x, y) and the sample correlation coefficient is 0.80. (a) Test the hypothesis that Ho: p = 0 against H₁ :p #0 with a = 0.01. Reject the null hypothesis. (b) Test the hypothesis that Ho: p = 0.25 against H₁: p = 0.25 with a = 0.01. Reject the null hypothesis. (c) Construct a 99% two-sided confidence interval for the correlation coefficient. Round your answer to 3 decimal places. < p < i i
How would I solve this assuming the population variances are equal?
2. We performed a linear regression using 25 observations. From the regression output we find that bo = 5.7, bị = 12.9, x = 11.4, Sz = 3.2 and MSE = 12.25. a. From the least squares line, what is the predicted response when x* = 10.65? y = b. What is the 95% confidence interval for the mean response when x* = 10.65? c. What is the 95% prediction interval for an individual response when x* = 10.65? d. Which interval is wider? The confidence interval or the prediction interval? O a. Confidence Interval b. Prediction Interval
5. We don't want predictor variables that are too highly correlated with each other or they are redundant (say ≥±.70) or multicollinear (2±.90), which means the variables are measuring pretty much the same thing so why have them all in the equation. What was the finding for redundancy between SPI Scientist and SPI Practitioner? a. No issue with redundancy since the shared variance between the two variables was only 4% (r2 = .04). b. There was an issue with redundancy between the two variables shared 62% of the variance in the relationship.
Consider a regression analysis with n= 51 and four potential independent variables. Suppose that one of the independent variables has a correlation of 0.49 with the dependent variable. Does this imply that this independent variable will have a very small Student's t statistic in the regression analysis with all four predictor variables? Choose all that apply. A. The correlation between the independent variable and the dependent variable could result in a very small Student's t statistic as the correlation creates a high variance. B. Correlation between the independent variable and the dependent variable is not necessarily evidence of a small Student's t statistic. C. A high correlation among the independent variables could result in a very small Student's t statistic as the correlation increases the coefficient standard errors. D. Correlation between the independent variable and the dependent variable is evidence of a small Student's t statistic.
Part A of question one asks for the variance (sigma squared), not the equation of regression line. Is the variance 2.79 as I listed on my answer sheet? Maybe my image didn't go through, but I already had the answer to subparts B and C to the question, which you list as #2 and #3. But I need help with parts D, E, and F. I have the following answers for D. d. Y hat (fitted value = 426.46), with residual of -1.62. e. r squared value = 1.00 g. 99% confidence interval = (-11.63, -1.05) Thanks thanks
Suppose that we would like to test the following hypotheses on the population correlation coefficient ρ: H0: ρ ≤ 0 and H1: ρ > 0. The sample correlation coefficient (r) for a sample with 7 observations (n = 7) on x and y is 0.35 . Then the test statistic t has a value of

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