Name: Total Marks: 36 Note:-All questions carry equal Total Time: 1.5 Hours (Q.S. (a) A food nutrition expert exant Marks. Solve all the parts of eaci. question collectively at same place. Weight gain \( (\mathrm{gm}) \) of 12 children examined the effect of vitamins ( \( A, B, C \) ) over the vitamins at Level of Sig. \( 5 \% \).- b) How many basic experiment after the four-month. Test the significance of \begin{tabular}{|l|l|l|l|} \hline A12 & B \( 18 \cdot \) & C 30 & B26. \\ \hline C 32. & A 15 & C 34 & A 14 \\ \hline B 20 & C 33. & B \( 25 \cdot \) & A 18 \\ \hline \end{tabular} 2. Q.1. An experiment was conducted to ins? How they differ from each of designs? Treatments (Teaching methods) called investigate the effect of four different Subjects (Column wise) called A, B, C, D. under four (i) Test the significance of Treatments, subjects, and classes. (ii) Estimate gain in efficiency over CRD (iii) Fibjects, and classes. (ii) Apply the Tuckey test for pair Q. 3 (a) The following data are the results of an experiment to study the influence of time experiment to study the influence of time bleeding factor \( A \) with 4 levels, factor \( B \) with 3 levels \( A \) factor \( A \) with 4 levels, factor \( B \) with 3 lest \( B \) are equally important) the whole experiment was conducted with the 12 treatment combination in 2 blocks. The \( S S A \times B=150 \quad \). Also find the C.V. \( \delta S A \times B=\overline{150}= \) P.T.O \( \rightarrow>\rightarrow>\rightarrow>>>>>> \)
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Classify the experiments according to their experimental designs. Some designs may be used more than once. Vitamins: A sample of 50 children was separated into boys and girls. The members of each group were randomly assigned to two different vitamin supplements. The responses of each child were recorded at the completion of the experiment. Rats: A sample of 50 rats was grouped into pairs of similar individuals based on species, age, and weight. Then, within these pairs, each rat was assigned to a different diet. After three weeks, the responses of each pair were analyzed to compare the effects of the diets. Track spikes: Twenty runners were assigned to run two laps, once with track spikes and once without track spikes. The order of treatments was randomized for each runner. The lap times of each runner were recorded to compare the effects of the two different treatments. Street segments: A random sample of 100 street segments was selected in each of two cities. To compare the street tree populations of the two cities, the diameter and species of all trees in each street segment were recorded. Documentaries: Eighteen volunteers were randomly assigned to three groups, and each group watched a different documentary about feminism. After completing the documentary, each volunteer was asked if their views on feminism were influenced by the film.
Keondre P.
A farmer wants to compare the performance of a new fertilizer to the current brand. Using the current fertilizer, each acre of farm yields a mean of μ = 7 tons of kalo in a growing season, and the farmer hypothesizes that the new fertilizer will be no different. To investigate, the farmer grows eight one-acre plots of kalo with the new fertilizer and records the yield of each plot. 12.33 6.72 8.53 6.98 7.08 8.28 4.79 13.12 The output of a statistical analysis software on this dataset is shown below N Mean Std. Dev. Std. Err. 95% CI 8 8.479 2.862 1.012 (6.086, 10.872) Hypothesis test of μ = 7 against μ ≠ 7 T-value P-value 1.461 0.188 Reading the output, we find that • The hypothesized value of μ = 7 is (outside inside) of the 95% Confidence Interval • The P-value is (larger smaller) than the standard significance level of α = 0.05 • Therefore, we should (accept reject) the hypothesized value. • If we compare the magnitude of the test statistic with the critical value from the t-table, we would find that the magnitude of the test statistic is (greater smaller) than the critical value, meaning that we observed a (typical unusual) sample. Given the results, what is the most reasonable interpretation of the experimental results? The sample average is close to μ therefore consistent with the average kalo yield using the new fertilizer being 7 tons per acre. The sample average is so much smaller than μ that we can be confident that the average kalo yield using the new fertilizer is less than 7 tons per acre. The sample average is so much larger than μ that we can be confident that the average kalo yield using the new fertilizer is more than 7 tons per acre.
Ana Carolina D.
Classify the experiments according to their experimental designs. Some designs may be used more than once. Vitamins: A sample of 50 children was separated into boys and girls. The members of each group were randomly assigned to two different vitamin supplements. The responses of each child were recorded at the completion of the experiment. Flu: A sample of 50 flu patients was grouped into pairs of similar individuals based on age and gender. Then, within these pairs, each flu patient was assigned to a different flu medication. After three weeks, the responses of each pair were analyzed to compare the effects of the flu medications. Race car fuel: Twenty race cars were assigned to drive two laps, once with fuel A and once with fuel B. The order of treatments was randomized for each race car. The lap times of each race car were recorded to compare the effects of the two different treatments. River water quality: A random sample of 100 rivers was selected in a particular region. To assess the relationship between water quality and invertebrate diversity, the water quality and the count and species identity of all invertebrates in each river were recorded. Medical treatments: Eighteen volunteers were randomly assigned to three different medical treatments. At the conclusion of each treatment, the response of each volunteer was measured.
Adi S.
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