1. Do Black and White Americans have the same average income?2. Do Males and Females have the same average income?Use interpretations of the confidence intervals and effect sizes to answer the questions. ### Educational Analysis of Household Income by Gender#### Group StatisticsThis section presents the income statistics by gender:- **Males:** - **Sample Size (N):** 476 - **Mean Income:** $32,737.37 - **Standard Deviation:** $23,710.038 - **Standard Error Mean:** $1,086.748- **Females:** - **Sample Size (N):** 507 - **Mean Income:** $20,793.89 - **Standard Deviation:** $15,915.295 - **Standard Error Mean:** $706.823#### Independent Samples TestThis test evaluates the significance of income differences between genders.- **Levene's Test for Equality of Variances:** - **F:** 54.564 - **Sig. (Significance Level):** 0.000- **t-test for Equality of Means:** - *Equal variances assumed:* - **t:** 9.039 - **Degrees of Freedom (df):** 981 - **Sig. (2-tailed):** 0.000 - **Mean Difference:** $11,578.488 - **Standard Error Difference:** 1,280.978 - **Confidence Interval (95%):** Lower $9,064.717, Upper $14,092.260 - *Equal variances not assumed:* - **t:** 8.931 - **Degrees of Freedom (df):** 823.531 - **Sig. (2-tailed):** 0.000 - **Mean Difference:** $11,578.488 - **Standard Error Difference:** 1,296.387 - **Confidence Interval (95%):** Lower $9,033.876, Upper $14,123.100#### Independent Samples Effect SizesThis section provides various effect size estimates:- **Cohen's d:** - **Standardizer:** 20,071.150 - **Point Estimate:** 0.577 - **95% Confidence Interval:** Lower 0.449, Upper 0.704- **Hedges' correction:** - **Standardizer:** 20,086.511 - **Point Estimate **Group Statistics**- **Respondent Household Income (in $)** - **Race of Respondent** - **WHITE**: - **N**: 856 - **Mean**: 27174.65 - **Std. Deviation**: 21441.359 - **Std. Error Mean**: 732.851 - **BLACK**: - **N**: 127 - **Mean**: 21183.07 - **Std. Deviation**: 15702.797 - **Std. Error Mean**: 1393.398**Independent Samples Test**- **Levene's Test for Equality of Variances** - **F**: 8.237 - **Sig.**: 0.004- **t-test for Equality of Means** - **Equal variances assumed**: - **t**: 3.030 - **df**: 981 - **Sig. (2-tailed)**: 0.003 - **Mean Difference**: 5991.579 - **Std. Error Difference**: 1977.233 - **95% Confidence Interval of the Difference**: - **Lower**: 2111.485 - **Upper**: 9871.672 - **Equal variances not assumed**: - **t**: 3.806 - **df**: 203.059 - **Sig. (2-tailed)**: 0.000 - **Mean Difference**: 5991.579 - **Std. Error Difference**: 1574.366 - **95% Confidence Interval of the Difference**: - **Lower**: 2887.377 - **Upper**: 9095.780**Independent Samples Effect Sizes**- **Standardizera** - **Cohen's d** - **Standardizer**: 20793.131 - **Point Estimate**: 0.288 - **95% Confidence Interval Lower**: 0.101 - **Upper**: 0.475 - **Hedges' correction** - **Standardizer**: 208

1. From the given output (2nd output) it can be observed that the confidence interval of the…

1. Do Black and White Americans have the same average income? 2. Do Males and Females have the same average income? Use interpretations of the confidence intervals and effect sizes to answer the questions.

1. Do Black and White Americans have the same average income? 2. Do Males and Females have the same average income? Use interpretations of the confidence intervals and effect sizes to answer the questions.

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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Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Height (inches) 75 62 64 63 62 70 69 70 67 Weight (lbs) 325 250 280 220 235 265 200 365 175 (CLO 1) Construct a confidence interval to estimate the mean height and the mean weight.
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Report an appropriate hypothesis test for a positive linear relationship and use a 5% significance level. Explain the potential error in words, in context. In the answer options below I have used the phrase “a certain relationship” because I don’t want to give away exactly what type of relationship it is. Group of answer choices We would be accepting that there was a certain relationship between Sale amount and Tip when actually there wasn’t. We would not be accepting that there was a certain relationship between Sale amount and Tip when indeed there wasn’t. We would not be accepting that there was a certain relationship between Sale amount and Tip when actually there was. We would be accepting that there was a certain relationship between Sale amount and Tip when indeed there was.
9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.
Portland State University (PSU) reported that 64% of their students receive financial aid. A PSU administrator feels that their school may have a different proportion compared to all of Oregon schools. A random sample of 409 students in Oregon found that 259 receive financial aid. Test the claim that proportion of students that receive financial aid in Oregon is different than PSU. Use a 1% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer ?v H₁: Select an answer ? ✓ Based on the hypotheses, compute the following: b. Test Statistic = c. p-value = d. Based on the above we choose to Select an answer e. The correct summary would be: Select an answer that the proportion of students that receive financial aid in Oregon is different than the PSU reported value of 64%.
24. Job Interviews In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. a. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? b. Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. c. Repeat part (b) using a confidence level of 80%. d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider?
1. What conclusions can you draw about the proportions of Satisfaction with Quality of Care from Nurses and Satisfaction with Quality of Care from Specialists from the chart? A. The confidence intervals overlap, so we can conclude that the proportions are significantly different. B. The confidence intervals do not overlap, so we can conclude that the proportions are significantly different. C. The confidence intervals do not overlap, so we cannot conclude that the proportions are significantly different. D. The confidence intervals overlap, so we cannot conclude that the proportions are significantly different. 2. What conclusions can you draw about the proportions of the Satisfaction with Quality of Care from Nurses and Satisfaction with Quality of Care from Practitioners from the chart? A. The confidence intervals do not overlap, so we cannot conclude that the proportions are significantly different. B. The confidence…
15. Pain after surgery: In a random sample of 50 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 90 patients undergoing a new procedure, only 16 required pain medication. a. Construct a 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. b. A physician claims that the proportion of patients who need pain medication is the same for both procedures. Does the confidence interval contradict this claim? 16
8. A confidence interval for estimating the mean An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first he needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, he has access to the 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals). One of the survey questions was, “How many work-related emails do you receive during a typical workday?” For the subsample of legal professionals (n = 250), the mean response was M = 36.7 emails, with a sample standard deviation of s = 23.8 emails. The estimated standard error is sMM? = A-0.085, B-1.341, C-0.095 or D-1.505 (choices to choose from.) . Use the following Distributions tool to develop a 90% confidence interval estimate of the mean number of work-related emails legal…
K Do freshmen spend significantly more time on social media than other class ranks? A recent study investigated the amount of time per day freshmen, sophomores, juniors, and seniors spent on social media while doing schoolwork. The students surveyed were U.S. residents from a 4-year, public, primarily residential institution. The accompanying computer output shows the mean time each cohort spent on social media and an ANOVA table. Construct a 95% confidence interval to compare the population mean time spent per day on social media between freshmen and seniors. Click the icon to view the summary statistics and ANOVA table. The 95% confidence interval is. (Round to one decimal place as needed.) View an ex NOV 9 Summary Statistics and ANOVA Table 6 n tv Mean Std. Dev. Source DF Class Error Total F6 FR 443 62.5 71.6 SS 99509 3 1562 7927979 1565 8027488 Print SO 330 56.5 68.5 MS 33170 5076 JU 383 72.0 80.9 Done 8 F 6.53 FB SE 410 50.4 62.9 P 0.000 ZA 9 F9 X k answer
9. According to a poll, eighty seven percent (87%) of California adults (440 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a ninety percent (90%) confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California.What is a point estimate for the true population proportion?
Part 3: Putting the Pieces Together Some of the following questions might be more challenging, but we want you to wrestle through them and ask for clarification along the way. We hope that, ultimately, working through these problems will strengthen your understanding of the big ideas behind confidence intervals. 10. A researcher plans to survey a random sample of undergraduate students in order estimate the proportion of all undergraduate students who plan to apply to graduate school, and she will construct a confidence interval based on the data she gathers. Which one of the following combinations of sample size and confidence level will result in the most precise confidence interval? A.n= 500, confidence level = 95% B. n = 500, confidence level = 90% c.n= 1000, confidence level = 99% D. n 1000, confidence level = 90% E.n=200, confidence level = 99% 11. What proportion of adults are afraid of spiders? To estimate this unknown population proportion, a researcher gathers a random sample…