SECTION 8.1 Testing the Difference Between Means (Independent Samples, o, and a Known)12. Claim: > a = 0.10Population statistics: σ = 40 and σ₂ = 15Sample statistics: ₁ = 500, n₁ = 100 and ₂ = 495, n = 7513. Claim:425

1. Null Hypothesis (H0) and Alternative Hypothesis (H1): - The null hypothesis is that the means of…

Answered: SECTION 8.1 Testing the Difference…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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10. Claim: P₁ = P₂; α = 0.05. Sample statistics: x1 = 265, n₁ - X2 204, 2 - 301, 247 'D
EXERCISE-1 CONSIDERE LOS SIGUIENTES VALORES DE UNA POBLACION: 500, 250, 375, 400, 300, 275 Exercises: 1) Consider these six values a population: 13, 3, 8, 10, 8, 6 a) Compute the population mean. (Rounded to the nearest two decimal places) Ex N b) Compute the population median: c) Compute the population range. R= highest value - lowest value = d) Compute the population variance. (Rounded to the nearest two decimal places) X μ Median = Range 62 = = 6= 0 = - H- 0= X-μ -V 0.00 c) Compute the population standard deviation. (Rounded to the nearest two decimal places) (x-μ) N (x-μ)² 0.00
A study was conducted at a local college to analyze the average cumulative GPAs of students who graduated last year. In each of the following situations, identify the population, Statistic, Parameter, Variable, Data and the Sample. a) all students who attended the college last year b) the cumulative GPA of one student who graduated from the college last year c) 3.65, 2.80, 1.50, 3.90 d) a group of students who graduated from the college last year, randomly selected e) the average cumulative GPA of students who graduated from the college last year f) all students who graduated from the college last year g) the average cumulative GPA of students in the study who graduated from the college last year
6) A researcher is interested in whether women like Justin Bieber's music more than men. The extent to which people liked Bieber's music was measured on a 10 point scale ranging from 1 = do not like at all, to 10 like Justin Bieber's music more than men (alpha = .05). very much like. Using the data below, please determine whether women Women Men 7 4 8 7 4 a) What type statistical analysis should you perform? Please explain your rationale b) Please state the null and alternative hypotheses c) Please write out the results (t-value, df, p-value) and make a decision d) Please make a general conclusion (no stats talk)
AFDA Main Ideas: Module 9 Review 1) The measures of center: 2) Measures of spread: 3). When describing a data set, the mean is used with used with 4) Z-scores are used to compare data that is 5). What is the formula for finding the z-score? 14 6). The z-score of the mean is always z = 7). What are the characteristics of a normal distribution? and and and the median is 8). What two characteristics make a distribution go from "normal" to "standard normal?"
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3. A researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as: Species K Species L 4.7 5.3 5.2 4.6 6.1 4.1 5.8 4.8 5.2 4.2 а. Test if mean colony size of Species K and Species L are different from each other? Report a p-value. (You mav need to do an additional test to decide which test to apply for comparing the means) b. What is the power of the test in part a? С. The researcher would like to design a new experiment which will allow a two tailed hypothesis test with significance 0.05 and power 0.90. What should be the sample sizes nk and ni for Species K and Species L (use k = 1). %3D
4. For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, α is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p>0.44; α=0.08. Sample statistics: p=0.52, n=350 Question content area bottom Part 1 Let q=1−p and let q=1−p. A normal sampling distribution ▼ can cannot be used here, since ▼ n ModifyingAbove p with caretnp npnp ▼ less than< greater than or equals≥ 5 and ▼ nqnq n ModifyingAbove q with caretnq ▼ less than< greater than or equals≥ 5.
1. Sample question: Calculate an independent samples t test for the following data sets: Data set A: 1,2,2,3,3,4,4,5,5,6 Data set B: 1,2,4,5,5,5,6,6,7,9 2. Using the following data perform a significance test to compare the means of strains A and B and comment on the results obtained. Strain A: Ex = 281 mn, n=10, Ex'= 8854.0 Σ= 9482.0 Strain B: Ex=272 mn, n= 8, 3. With the help a suitable test find out the significant differences between two samples. Number of organisms/culture: Sample 1 Sample 2 45 127 86 56 77 49 106 74 61 98 92 45 68 33 88 61 4. Paired t-test with following data Subject # Score 1 Score 2 3 20 2 3 13 3 3 13 4 12 20 15 29 16 32 7 17 23 8 19 20 9 23 25 10 24 15 11 32 30
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A professional marketing survey involves product recognition in New York and California. Of 558 New York residents surveyed, 193 knew the product while 179 out of 614 Californians knew the product. 1. Test the claim that the recognition rates are greater in New York. 2. In which state does the product need the most help with name recognition? Use the given data to compare mean age of residents in Seaside and Marina. Sample Data * = 43.2 yr s = 4.7 yr n = 97 Seaside Before After 1. Test the claim that the mean age of seaside residents is equal to the mean age of Marina residents. 2. How would the result change if we use a = 0.01? Matched Pairs: Write the alternative hypothesis H₁, for each claim: 1. New engine management software will increase the gas mileage in your car. 2. My coaching will reduce your golf score. Difference An instructor gives a test before and after a lesson with these results from randomly selected students Before and After Data 54 70 = 61 Marina 56 s = 6.7 year…
5. The ABC University wants to know the proportion of its football fans travel to away games in the same state. The university took a random sample of 2000 of its football fans and found that 500 of them travel to away games in the state. • Identify the population for this situation. What is the parameter? What is the sample? • Identify the sample statistic. Can the university estimate the population proportion based on the sample? Explain your answer.

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SECTION 8.1 Testing the Difference Between Means (Independent Samples, o, and a Known) 12. Claim: > a = 0.10 Population statistics: σ = 40 and σ₂ = 15 Sample statistics: ₁ = 500, n₁ = 100 and ₂ = 495, n = 75 13. Claim: 425