At a 0.05, test to see if the population variances from which the following samples were drawn are equal. The test statistic is Group 1 ni = 21 Group 2 n2 = 19 S1 = 20 S2 = 18 (A) 1.56 (B) 1.23 (C) 1.26 (D) 1.11
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- Which of the following sets of data is most likely to produce a significant t statistic? Select one: MD = 10, SS = 100 MD = 10, SS = 10 MD = 2, SS = 10 MD = 2, SS = 100Say we were testing the effects of taking calcium on bone density levels and obtained a positive and significant value for our independent t test result. What would you write (using APA format) when performing a percentage of variance explained test on the data and received a value of r2=.38.The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 =0.404 F19,16,0.025 = 0.386| F16,10,0.025 =0.335 F16,10,0.05 =0.401| F15,12,0.1 = 0.496 | F19,16,0.05 =0.451 F10,16,0.025 =0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 = 0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, 0.238 ] O c. [ 2.160 , 0.309 ] O d. [2.063 , 0.318]
- The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 = 0.404 F 19,16,0.025 = 0.386 F16,10,0.025 =0.335| F16,10,0.05 =0.401 F15,12,0.1 =0.496 F19,16,0.05 =0.451 F10,16,0.025 = 0.286 F 12,15,0.05 =0.382 F16,19,0.025 = 0.371| F10,16,0.05 = 0.354 F12,15,0.1 =0.475 F16,19,0.05 = 0.437| Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, O0.238 ] O c. [ 2.160 , 0.309] O d. [2.063 , 0.318]In a sample of n=20 what would be the student's t test statistic for a correlation of r=0.400?A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of the study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 24 minutes 19 minutes 51 = 3.5 minutes 52 - 4.3 minutes ni = 30 n2 - 30 Which of the following is the correct value of the test statistic assuming that the unknown population variances are equal? Multiple Cholce Z = -4.94 tss = 4.94 Z = 4.94 t59 = -4.94
- Do men score lower on average compared to women on their statistics final exams?Final exam scores of 15 randomly selected male statistics students and 13 randomly selected female statistics students are shown below.Test the claim that men score lower on the statistics final exam than women do at the α = 0.025 level of significance. Assume variances are equal. male female 94 92 76 82 75 74 74 62 78 86 85 78 72 75 85 85 65 79 79 73 93 76 78 93 64 84 69 82 Find Tc?Suppose that a journal article reports that the mean age at marriage of Filipino women is 22.6 years in urban areas and 18.4 years in rural areas. These findings are based on a sample survey of 150 urban and 180 rural women. The report did not indicate the corresponding variances of the estimates. However, a review of past data shows that the variances for the age at marriage of Filipino women are 7.2 and 5.8 for urban and rural areas, respectively. Is there a significant difference between the age at marriage of women in urban and rural areaswe look at a random sample of 1000 united flights in the month of December comparing the actual arrival time to the scheduled arrive time. computer output of the descriptive statistics for the difference in actual and expected arrival time of these 1000 flights are shown below : N=1000 Mean =4.06 St Dev. = 45.4 SE Mean =1.44 Min= -35 Q1 = -14 Median = -5 Q3 =9 Max =871 what is the sample mean difference in actual and expected arrival times? what is the standard deviation of the difference ? x bar = and s= ? based on the computer output is it safe to assume this sample is normally distributed? can we proceed using the t- distribution to build a confidence interval for this mean ? use the summary statistics to compute a 95% confidence interval for the average difference in actual and scheduled arrival times on united flights in december? round to two decimal places. interpret the confidence interval you found in context. round to two decimal places.
- Two samples, each with n = 5 scores, have a pooled variance of 40. What is the estimated standard error for the sample mean difference?Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"State whether the effect size for a 1-point effect (M- = 1) is small, medium or large given the following population variances: a. =1 b. =2 c. =4 d. =6