### Statistical Performance Comparison Over TimeYour professor wants to determine if her students today are performing better in statistics than 10 years ago. End of semester grades from a random sample of students enrolled today and one of students enrolled 10 years ago have been obtained:| | Today | 10 Years Ago ||----------------|-------|--------------|| Mean (\( \bar{x} \)) | 82 | 88 || Variance (\( \sigma^2 \)) | 112.5 | 54 || Sample Size (\( n \)) | 45 | 36 |Refer to Exhibit GGC 2-2. The test statistic for the difference between the two population means is ____.**Options:**- a) \(-.47\)- b) \(-.65\)- c) \(-3\)- d) \(-1.5\)### ExplanationTo find the test statistic for the differences between the two means, use the formula for the two-sample Z-test:\[Z = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}}\]Where:- \( \bar{x}_1 \) and \( \bar{x}_2 \) are the sample means- \( \sigma_1^2 \) and \( \sigma_2^2 \) are the sample variances- \( n_1 \) and \( n_2 \) are the sample sizesSubstitute in the given values to calculate the Z value and select the correct option.

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Answered: Your professor wants to determine if…

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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Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 1 22 22 2 32 34 3 24 25 4 28 30 5 26 29 What test should be used to test for differences in stress at these two time-points? Select one: a. paired samples t-test b. independent samples t-test c. Pearson correlation d. single sample t-test
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A researcher wanted to test whether there is a relationship between preferred sweet (Oreo cookies, Mars bars, or Twinkies) and age group (children, adolescents, or young adults). To test that, subjects from the three age groups were asked which of the three sweets they preferred. Which statistical test should be used to analyze the data? 1. chi square test of independece 2. chi square test for goodness of fit 3. one sample t test 4. one way anova test
A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use the five-step model as a guide and write a sentence or two of interpretation for your results. Working Class Middle Class Upper Class 10 11 7 9 10 5 4 5 2 2 2 0 1 0 0
A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time (in seconds) Required to Accelerate from 0 to 60 mph Compact 9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size 6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury 5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)
Many people like to play app based games on their mobile devices. Suppose we would like to estimate the average amount of time (in hours) per week students have played an app-based game on their mobile device at CSU Stan. In order to do this, we take a random sample of 20 students and ask them how many hours they have played an app- based game in the last week. The following data were collected: 11 4 5.5 5.5 7 6.2 10 10 7.5 6 7 7.5 2.5 Which of the following is the correct 99% confidence interval for the estimate of the average number of hours (per week) that all CSU Stan students have played an app- based game? [5.28, 7.59] [4.86, 8.01] [5.48,7.39] [5.86, 7.01]
A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1 19.2 19.3 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Round your answer to three decimal…
A source table has the following information: Three treatment conditions with a sample of n =7 participants in each treatment. You know SS(BW) = 20 and MS(WI) = 2. What is the missing value for MS(BW)? Answer choices: 40, 10, 2, 5 You have an ANOVA source table with the following information: Three treatment groups with a sample of n = 10 participants in each treatment. You also know the SS(BW) =20 and F = 5.00. What is the missing value for SS(Total)? Answer choices: 74, 54, 30, 22 For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df(WI)? Answer choices: 30, 29, 24, 20
Imagine a researcher asks a sample of five people to drive two types of cars and rate each of them on a scale of 1 to 25. The researcher wants to know: Is there is a difference in the ratings of the two types of cars. Below are the data collected: Type A: 20, 10, 11, 23, 7 Type B: 10, 11, 4, 12, 1 What type of analysis would be appropriate to address the researcher’s question and why did you make this choice? Conduct the analysis identified in “1” above using jamovi. Use α = .05. Is the assumption(s) met? What do you conclude? Present your answer in APA. ** NB I asked these already using the responses please help answer question 2 2 Based on your decision in the questions above identify and explain the type of error you could be making

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