A study is conducted to measure the difference between three teaching methods which are blended leaming (Method A), open and distance leaming (Method B) and face-to-face leaming (Method C). A random sample of 21 students was participated in the study. Seven students were randomly assigned to each teaching method on STA210 course. A test was administered at the end of the course and the scores obtained by the students are recorded below. Method A 23 Method B Method C 19 23 18 24 20 22 19 26 24 24 19 26 22 23 21 29 28 24 28 a) At 5% significance level, test whether there are significant differences between the mean test scores for the three teaching methods. b) Construct a 95% confidence interval for the mean difference of test score between face to face and open distance learning. Can we conclude that the mean test score of face- to-face leaming exceeds open and distance leaming?

A auto shop wants to examine the proportion of customers that have to return after an appointment. Last year, an examination of 264 customers found that 30.1% had to return after an appointment. You instituted some changes at the auto shop this year, and found from a sample of 326 customers that 22.4% had to return after an appointment. You want to conduct an analysis to determine if there has been an increase in the proportion of customers that need to return after an appointment since the past year, with a = 0. 10. Using this information, what is the critical value of your analysis? Round your final answer to two decimal places. 2.11 1.96 2.33 1.28 1.64

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 42 of the 48 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 93 of the 109 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below.

A particular industrial product is shipped in lots of 20 items per lot. Testing to determine whether an item is defective is costly, and hence the manufac- turer samples his production rather than using a 100% inspection plan. A sampling plan constructed to minimize the number of defective shipped to customers calls for sampling 5 items from each lot and rejecting the lot if more than 1 defective is ob- served. It is believed that 10% of lots contains 3 defectives, 20% contains 2 defectives, 30% contains 1 defective and 40% contains no defectives. If a randomly accepted lot has one defective in the sample, what is the probability that the accepted lot still contains at least one defective? (А) 0.375 (В) 0.475 (C) 0.525 (D) 0.625 (E) 0.775

A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is            (3 dec places).The distribution is             (examples: normal / t12 /…

A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a…

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:  Sample Number Programmed Instruction Lecture TV Group Discussion 1 6 8 7 8 2 7 5 9 5 3 6 8 6 6 4 5 6 8 6 5 6 8 5 5 At the 0.01 level, what is the critical value?   Multiple Choice   1.00   1.96   3.24   5.29

In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. Which of the following correctly states Ho and H₁ ? A. Ho: Mx Hy = 0 H₁: Hx-Hy >0 OC. Ho: Mx Hy ‡0 Hi HxHy=0 - O E. Ho: Mx Hy = 0 H₁: Hx-Hy <0 B. Ho: Mx Hy = 0 H₁: Hx-Hy #0 D. Ho: Hx-Hy = 0 H₁: Hx-Hy 20 OF. Ho: Mx Hy = = 0 H₁: Hx-Hy ≤0

In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. The test statistic is t = 2.236. (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)

Students at a major university believe they can save money buying textbooks online rather than at the local bookstores. In order to test this theory, they randomly sampled 25 textbooks on the shelves of the local bookstores. The students then found the "best" available price for the same textbooks via online retailers. The prices for the textbooks are listed in the following table. Based on the data, is it less expensive for the students to purchase textbooks from the online retailers than from local bookstores? Use a = 0.01. Let prices at local bookstores represent Population 1 and prices at online retailers represent Population 2. Textbook Bookstore 1 127 2 51 3 107 4 64 5 138 6 83 7 129 8 88 9 50 10 78 11 111 12 138 13 115 Textbook Prices (Dollars) Online Retailer Textbook 14 15 16 17 18 19 20 21 22 23 24 25 135 51 90 46 125 88 125 92 34 76 95 127 96 Bookstore 53 133 111 90 60 54 118 86 77 56 51 100 Online Retailer 61 130 126 93 67 68 99 84 58 46 34 109 Copy Data Step 2 of 3:…