To study the performance of three detergents and three different water temperatures, the following 'Whiteness' readings were obtained with specially designed equipment : Water Temp. Detergent A Detergent B Detergent C Cold water 57 55 67 Warm water 49 52 68 Hot water 54 46 58 Perform a two-way analysis of variance, using 5% level of significance. (Given F5% = 6-94)
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- An experiment was carried out in a major pharmaceutical laboratory and its values were recorded: Calculate the unbiased variance of the dataA value of r2=.09 is considered what for the effect size test of the percentage of variance explained?a. a small effectb. a medium effectc. a large effectd. no effect has happened to the data setTo study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results are attached as an Excel file. Using Excel, construct an analysis of variance table. Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
- the accounting department analyzes the variance of the weekly unit costs reported bytwo production departments. a sample of 16 cost reports for each of the two departments shows cost variances of 2.3 and 5.4, respectively. is this sample sufficient toconclude that the two production departments differ in terms of unit cost variance? usea = .10.An experiment was conducted to study the use of 95% ethanol versus 20% bleach as a disinfectant in removing contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using cuttings of eggplant tissue. The observation reported was the number of uncontaminated eggplant cuttings after a 4-week storage. Disinfectant 95% Ethanol 20% Bleach Mean 3.76 4.88 Variance 2.78093 0.17148 15 15 Pooled variance 1.47621 (a) Are you willing to assume that the underlying variances are equal? Yes, the ratio of the larger variance to the smaller variance is less than three. Yes, the ratio of the larger variance to the smaller variance is more than three. No, the ratio of the larger variance to the smaller variance is less than three. No, the ratio of the larger variance to the smaller variance is more than three. It is not possible to check that assumption with the given information. (b) Using the information from part (a), is there evidence of a significant…if a researcher undertook an experiment to evaluate the efficacy of a memory enhancement technique among a cohort of 15 college students. The memory recall abilities of each student were assessed both before and after they underwent training in the memory technique. The observed average increase in memory recall scores following the training was 5 points. The sample variance of the differences within the entire sample was denoted as 8. Does this research question aim to ascertain whether there is a statistically significant elevation in memory recall scores after the implementation of the memory improvement training? To address this question, a one-tailed test with a significance level of (alpha = 0.01) is employed.