ns%3D1= 4.8 and az = 3.5 have the means . = 182 and f, 23.4. Find a 99% CL 09418

Given : n1=16 , n2=25 , X1-bar=18.2 , X2-bar=23.4 , σ1=4.8 , σ2=3.5 , α=0.01 Our aim is to find…

Answered: Independent random samples of sizes n,…

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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Let x represent the number of mountain climbers killed each,year. The long-term variance of x is approximately o Suppose that for the past 12 years, the variance has been s = 118.3. = 136.2 Use a 1% level of significance to test the claim that the recent variance for number of mountain-climber deaths is less than 136.2 Find a 90% confidence interval for the population variance. (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom?
You have been asked to determine if two midterm tests of the same class have different mean scores. Midterm test 1 has mean μ1 and midterm test 2 has mean μ2. Using a random sample of 25 students, the sample mean is 50 for midterm test 1 and 60 for midterm test 2. Test statistics is given and it equals to -2.5. At the 5% significance level, you would like to test whether the students have the same performance in the two midterm tests. What is the conclusion for this test? (4%) A. Reject the null hypothesis. B. Both the null hypothesis and alternative hypothesis are false. C. Reject the alternative hypothesis. D. Cannot reject the null hypothesis. 2. From a random sample of 300 students at a state university, you find the average number of hours of study time each week is 30 with a standard deviation of 5. In this research situation, (4%) A. the parameter is 5. B. the parameter is 30. C. the population is the 300 students surveyed.…
Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formula 1 is o? = 1.5, and for formula 2 it is o, the mean octane numbers observed are = 89.5 fluid ounces and I2 = 93.1 fluid ounces. Assume normality. = 1.2. Two random samples of size n1 = 15and n2 = 20 are tested, and (a) Test the hypotheses Ho : H1 H2 versus H1 : µ1 < µ2 using a = 0.05. Round your answer to three decimal places (e.g. 98.765). %| Zo v Ho. (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, x1 – X2. Round your answer to three decimal places (e.g. 98.765).
Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of µ = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of - = 7.3 ppb arsenic. It is known that o = information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical 1.9ppb for this type of data. Does this approach. Use a = 0.01 What is the criterion (step 3) for this problem? 2.33 or more 1.645 or more -2.33 or less -1.645 or less
It is known that the average yield per plant is 180 g and the variance is 250 g for a type of strawberry. 10 of this plant seed was grown in soils cultivated with a special method and average yield was observed to be 200 gr. Soil cultivation Test whether the method raises the yield average. (a = 0.05)
The amount of chlorine in 100 cm3 water taken from a water tank was measured, the average was 2.15 mg was found. The expert claims that the amount of chlorine in the water is greater than that measured. For this reason, 100 households were randomly selected, with an average chlorine content of 2.55mg and a variance of 0.49 mg. According to this data, find the account value z. 13 - O A) 8,15 O B) 5,71 O C) -5,71 O D) -8, 15 O E) 0.54
Find the critical value for a test for correlation with α = 0.01 for a sample size of 18.
In a trivariate distribution, it 112= 0.7, 113 = 0.61 and 223 = 0.4 find all the multiple correlation coefficients. Also obtain the standard of estimates 01.23 61:23, 02:13 and 53:12 given that: 52= 1:06, 62 = 2.15 and 3= 3.46.
A sample of 33 lights in Austin gives an average of 46 cars/min while the city SD=3.4 A sample of 34 Dallas lights give a mean of 44 cars/mim with the city SD=1.4 At the 91% level, do the towns differ? 1. Is the test (A-Left Tailed, B-Right Tailed, C-2-Tailed) (separate with comma if there are 2) 2. Critical Value 3. Test statistic 4. 3-decimal p-Value
5a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
Assume that the examination marks of students follow normal distri- butivn with unknown mean (4) but known variance (a?) = 0.25. Test the hypothesis Ho : u =8 against H: #8 with the level of significance a = 0.01, the sample mean being equal to 7.8 and the sample size being 50.
Compute the standard score (Z-score) for x, when x = 21, the mean of the distribution = 27, and the variance (S2) = 9. Z = %3D O 2 -2 .67 -.67

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Independent random samples of sizes n, = 16 and n2 o = 4.8 and o, = 3.5 have the means , = 18.2 and X2 = 25 from normal populations with = 23.4. Find a 99% CL for