Problems 1 - 4 share the same summaries presented in the table below. Two groups of students, graduates and undergraduates, were subject to comparative studies. Their individual grades are assumed to be normal with unknown parameters. Respondents were selected independently and their sample summaries are presented in the table below. Group Size Mean = X Variance = S2 v = S² /n Graduate nį = 10 | (X)1 = 85.1 (S²)1 = 40 v1 = 10 = 4 Undergraduate n2 = 10 (X)2 = 70.9 (S2)2 = 600 V2 = = 60 For all hypothesis testing problems, you are supposed to show your conclusions in the standardized form as follows. 1. Test statistic value 2. Critical values required 3. State rejection rule explaining what you decide 4. The decision such as "yes, reject the null" or "not enough evidence for rejection" Deriving confidence intervals, please show critical values needed and present your interval in the form UCL = LCL =

Problems 1 - 4 share the same summaries presented in the table below. Two groups of students, graduates and undergraduates, were subject to comparative studies. Their individual grades are assumed to be normal with unknown parameters. Respondents were selected independently and their sample summaries are presented in the table below. Group Size Mean = X Variance = S2 v = S² /n Graduate nį = 10 | (X)1 = 85.1 (S²)1 = 40 v1 = 10 = 4 Undergraduate n2 = 10 (X)2 = 70.9 (S2)2 = 600 V2 = = 60 For all hypothesis testing problems, you are supposed to show your conclusions in the standardized form as follows. 1. Test statistic value 2. Critical values required 3. State rejection rule explaining what you decide 4. The decision such as "yes, reject the null" or "not enough evidence for rejection" Deriving confidence intervals, please show critical values needed and present your interval in the form UCL = LCL =

Name: **Problems 1 - 4: Summary and Hypothesis Testing Instructions**Two gr
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Problems 1 - 4: Summary and Hypothesis Testing Instructions**Two groups of students, graduates and undergraduates, were subject to a comparative study. Their individual grades are assumed to be normally distributed with unknown parameters. The sam

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please answer the question contained in the following picture
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…
The data from an independent-measures research study produce a sample mean difference of 4 points, and each sample has a variance of 10. If there are n = 20 scores in each sample, then what is the estimated standard error of the difference between means?
suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means. We have an IRS from A of size 8 with variance 25 and an IRS from B of size 9 with variance 16. What is the resulting standard error estimate if we assume both populations have the same population variance?
Records from previous years for a casualty insurance company show that its clients average a combined total of 1.9 auto accidents per day, with a variance of 0.31. The actuaries of the company claim that the current variance, oʻ, of the number of accidents per day is not equal to 0.31. A random sample of 17 recent days had a mean of 2 accidents per day with a variance of 0.62. If we assume that the number of accidents per day is approximately normally distributed, is there sufficient evidence to conclude, at the 0.05 level of significance, that the actuaries are correct? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round…
QUESTION 1 Manama cement factory produces precast cement blocks, last year's record showed the mean weight per block as 21.05 KG. This year they have sampled 50 units, and the maximum acceptable weight per block was 29.85, with a variance of 13.51 KG. Calculate the z value associated with this sample? (Write your answer in 2 decimals places e.g. 0.99)
A study aims to compare the social media usage rates of men and women. Nine men and 9 women are drawn from the general population and the average time (in minutes) they spent on social media each day was compared (men’s mean = 40, sum of squares = 153; women’s mean = 48, sum of squares = 216). What is the (a) estimated population variance for each random sample, and (b) pooled variance? Estimated population variances = 19.13 and 27.00; Pooled variance = 23.07 Estimated population variances = 19.13 and 27.00; Pooled variance = 20.50 Estimated population variances = 17.00 and 24.00; Pooled variance = 20.50 Estimated population variances = 17.00 and 24.00; Pooled variance = 23.07
QUESTION 42 Below is a variance component table generated from the G-study for a p xi design. Variance Component Person(p) 0.40 Item (i) 0.10 Person x item, error 0.90 Calculate the relative measurement error when only 1 item is used to evaluate students performance. QUESTION 43 Below is a variance component table generated from the G-study for a pxi design. Variance Component Person(p) 0.40 Item (i) 0.10 Person x item, error 0.90 Calculate the absolute measurement error when only 1 item is used to evaluate students' performance. QUESTION 44 Below is a variance component table generated from the G-study for a pxi design. Variance Component Person(p) 0.40 Item (i) 0.10 Person x item, error 0.90 Calculate the relative G-coefficient when only 1 item is used to evaluate students" performance.
QUESTION 4 In general, an experienced quality control inspector of measurement of sheet metal stamping would have a variance of 0.18 (inch)². A new joint inspector measures 101 stampings with variance of 0.165 (inch)². Assume data is normally distributed, by using 95% significance level, test whether the new joint inspector is making satisfactory measurements. QUESTION 5 A marketing study was done on consumer from two age groups for their spending on 20 categories of consumer items. Based on 15 respondents in the 18 – 34 age group, the average spending is RM76.40 with a variance of RM25.30. Meanwhile, based on 18 respondents in the 35+ group, the mean and variance were RM71.20 and RM22.20 respectively. By assuming the population variance are not equal, test if there is any difference in the mean spending between these two populations in 95% significance level.
A certain producer of chocolate has some problems with the variability of five suppliers of cocoa. Since the cocoa quality is critical to the final chocolate product, the company has decided to perform a DOE to compare these suppliers. According to experiences with customers, the capacity of detection of any variation is 3.5 units. Estimate the sample size needed to get at least a power of 85%, given that the historical variance of the process is 2.5 units.
Please use ANOVA
QUESTION 5 In swimming, clearly you would like to swim fast, but swimming consistent times is also important. A survey of 30 swims by men on a local university's swim team found a variance of their swimming times was 10. A similar survey of 41 swims by swimmers at a different university found the variance was 16. When testing the hypothesis (at the 10% level of significance) that the variances are equal, what is the critical value? (please round your answer to 2 decimal places)