Independent random samples of n1 = 15 blue-color workers and n2 = 13 white collar workers yielded the following summary statistics on number of sick days taken in a recent year: X1 = 115 S1 = 10.2 X2 = 9.0 S2 = 5.6 Test Ho = (H1 - P2) = 0 against Ha= (H1 - H2 ) > 0 at a = 0.05 %3D
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- A multiple regression analysis produced the following tables. Predictor Coefficients StandardErrort Statistic p-valueIntercept -139.609 2548.989 -0.05477 0.957154x 24.24619 22.25267 1.089586 0.295682x 32.10171 17.44559 1.840105 0.08869Source df SS MS F p-valueRegression 2 302689 151344.5 1.705942 0.219838Residual 13 1153309 88716.07Total 15 1455998Using = 0.01 to test the null hypothesis H :?1 = ?2 = 0, the critical F value is ____.6.701.964.845.995.70The mean annual temperature of a place is reported in literature to be 16.5°C. Measurements over 1992 to 2009 show a mean temperature of 14.65°C and a variance of 4.75°C. Test the hypothesis that the mean annual temperature of the place has changed from the past at a significance level of 5%.5 c.)
- In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a significance test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. The hypotheses are: H0: μ = 9.4 minutes HA: μ ≠ 9.4 minutesSuppose that the results of the sample lead to non-rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. Choose the best asnwer below: A. Neither B. Type I error C. Type II error D.No errorConsider the following Stata regression output (IDFB2) Source SS df MS Number of obs 935 %3D F(3, 931) 114.07 Model 1211.30177 3 403.767257 Prob > F 0.0000 %3D Residual 3295.51748 931 3.53976099 R-squared 0.2688 %3D Adj R-squared 0.2664 Total 4506.81925 934 4.82528828 Root MSE 1.8814 educ Coef. Std. Err. P>|t| [95% Conf. Interval] age .0074829 .0198281 urban 2546161 .1367932 IQ 0750274 .0040968 5.439236 .7981253 _cons What is the value of the t-statistic of the constant?A repeated-measures analysis of variance for a study comparing three treatment conditions with a sample of n=20 participants, produces an F-ratio of F=6.40. Accet the F ratio at .05 but reject it at .01
- widely used as dielectrics and coolants in electrical systems in the past. They were found to be a major environmental contaminant in the 1960s. In a study, the mean PCB content at each of thirteen sites was reported for the years 1982 and 1996 (from “The ratio of DDE to PCB concentrations in Great Lakes herring gull eggs and its use in interpreting contaminants data”, Journal of Great Lakes Research 24 (1): 12-31, 1998). The data are below.Site:12345678910111213198261.4864.4745.5059.7058.8175.9671.5738.0630.5139.7029.7866.8963.93199613.9918.2611.2810.0221.0017.3628.207.3012.809.4112.6316.8322.74(a) Which test would be more appropriate in this case: a t-test for the difference between two population means, or a paired t-test? Why?(b) Do the data provide sufficient evidence to support the claim that the mean PCB level has decreased in the region? Be sure to check all assumptions, write the null and alternative hypotheses, calculate the appropriate test statistic, calculate the p-value,…Which combination would lead you to Fail to Reject H0? ANOVA: Fobt = 3.61 Fcrit = 2.55 2-tailed t-test: tobt = 2.36 tcrit = 1.89 Correlation: robt = 0.68 rcrit = 0.64 Chi-Square GOF: χ2obt = 3.24 χ2crit = 4.25A test was conducted on the differences in academic performance of three groups of students subjected to different teaching strategies. Below is the ANOVA table of the results of data analysis. Source F- MS Ratio critical value F- P- of df SS variation Among 3 2100 MST groups ??? 3.18 0.036 Within 45 10000 MSE group
- Denny studied factors affecting cardiovascular reactivity to a postural change in a sample of healthy men and women. Change in systolic blood pressure (SBP) from supine to standing position was used as the measure of cardiac reactivity in a sample of 842 adults. Supine measurement of blood pressure was taken after participants had lain on an examination table for 15 minutes. Blood pressure was determined every 30 seconds using a Dinamap device for 2 minutes, and the measurements were averaged. Participants then stood up immediately, and additional measurements were made for another 2 minutes. Below is a table describing the characteristics of Denny’s sample: Which measures of dispersion, if any, are presented in this table (Ranges, SDs)? If age is normally distributed, approximately what percent of the sample would be younger than 50? If BMI is normally distributed, approximately what percent of the sample would have a BMI higher than 33.1?In one of the articles for review this week, Ondersma et al (2012) the researchers studied pretreatment change in pregnant women enrolled in substance abuse, In their research results they report the following: Wilcoxen signed rank value = −1140.5, p < .001 Interpreting these result (statement above), was there a statistically significant difference between the participants alcohol/drug use pre-treatment and first treatment?Green Sea Urchins. From the paper “Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis” (Aquaculture, Vol. 242, No. 1–4, pp. 357– 363) by S. Siikavuopio et al., we found that weights of adult green sea urchins are normally distributed with mean 52.0 g and standard deviation 17.2 g. a. Find the percentage of adult green sea urchins with weights between 50 g and 60 g. b. Obtain the percentage of adult green sea urchins with weights above 40 g. c. Determine and interpret the 90th percentile for the weights. d. Find and interpret the 6th decile for the weights.