Two separate samples of subjects provide the following set of data. Is there a significant difference between the samples? Go through the steps of nypothesis testing using a two-tailed test and alpha = .05. X1 ("Control") X2 (“Treated") nį = 10 n2 = 15 %3D M1 = 3.5 M2 = 2.5 SS1 = 12.5 SS2 = 15.1
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- Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.05 level of significance whether the two methods of analysis give, on the average, the same result. Determine the test statistic t=?Two samples of sizes 25 and 20 are independently drawn from two normal populations, where the unknown population variances are assumed to be equal. The number of degrees of freedom of the equal-variances t-test statistic is ?In a 2 × 3 between-subjects ANOVA with dfWithin = 17 and alpha set at .05, what is q if one is looking to determine the value of Tukey's HSD for an interaction effect?
- The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?One critique of sentencing research is that it generally focuses on the differences between white defendants and defendants of color and rarely examines differences between minority groups. The JDCC data set can be used to test for differences between the sentences received by black and Hispanic juveniles convicted of property crimes. Black juveniles (Sample 1; N = 229) were sentenced to a mean of 31.09 months of probation (s = 15.42), and Hispanic juveniles (Sample 2; N = 118) received a mean of 40.84 months (s = 16.45). Using an alpha level of .01, test the hypothesis that there is a statistically significant difference between the two group means. Assume unequal population variances. Use all five steps.A researcher wants to know if a treatment significantly changes the wellbeing of someone with depression. The average person with depression scores a 7.2 on a wellbeing scale with a SD of 1.4 points. The researcher administers the treatment to 25 clients for a month and finds their wellbeing at the end to be 7.7. Assume an alpha level of .05. How do we interpret this effect size? Would we reject the null hypothesis if the test was nondirectional(two-tailed)? Would we reject the null hypothesis if the alpha level was .01 (directional/one-tailed)?
- A one sample t test has n = 12. If using a two-tail test (proportion in two tails combined) with an alpha = .05, the critical t score boundaries =The human resources director of a large company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The analyst assigned to the project randomly sampled 25 male executives and 25 female executives. Of particular interest to the HR director is whether males have greater variability in miles flown than females. The statistics available below were computed from the samples. Based on these data, what should the HR director conclude if an alpha level equal to 0.01 is used? LOADING... Click the icon to view the statistics about the number of miles flown. Males Females Mean Miles 73,262 66,888 St. Deviation Miles 2,568 1,539 Sample Size 25 25 Let sample 1 be males and sample 2 be females. What are the null and alternative hypotheses? A. H0: σ21=σ22 HA: σ21≠σ22 B. H0: σ21≤σ22 HA: σ21>σ22 C. H0: σ21≥σ22 HA:…At a .05 “alpha level”, what is the “critical cutoff” z-score for a “two-tailed test”?
- Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 34 of the 39 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 98 of the 115 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. Identify the test statistic:Z= ___?____ Identify the P-Value: _______State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. _________Identify the confidence interval limits for the appropriate confidence interval.__?____ < P1-P2 < __?____For each of the following scenarios, what are two names for the ANOVA that would be conducted to analyze the data? A researcher examined the effect of gender and pet ownership (no pets, one pet, more than one pet) on a measure of loneliness. In a study on memory, participants completed a memory task once each week for 4 weeks—twice after sleeping 8 hours and twice after sleeping 4 hours. In each sleep condition, the participants completed the task after ingesting a caffeinated beverage and again, on another day, after ingesting a “placebo” beverage that they were told contained caffeine. A study examined the impact of students’ Instagram profiles on numbers of Instagram friends. The researchers were interested in the effect of (1) the profile photo—either an identifiable photo of the student or a photo of someone or something else (e.g., a dog)—and (2) bio length—either short (fewer than 75 characters) or long (75 characters or more).An automobile manufacturer claims that their van has a 46 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 61 vans they found a mean MPG of 46.1 with a variance of 6.76 MPG. Is there sufficient evidence at the 0.01 level that the vans outperform the manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario.