2. Suppose you wishes to conduct a study on the flavor acceptability of luncheon meat from commercial, milkfish bone meal, and goatfish bone meal. Commercial luncheon meal is the control group while milkfish bone meal and goat fish bone meal luncheon meat are experimental groups. a. Calculate the mean score of the acceptability of the different luncheon meat b. Calculate the significant differences on the flavor acceptability of luncheon meat from commercial, milkfish bone meal and goat fish bone meal. c. Interpret the result of your analysis.
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- 2. In a study of parents' feelings about a required course in consumer education taught to their children, a random sample of 360 parents are classified according to whether they have one, two or more children in the school system, and also whether they feel that the course is poor, adequate or good. The results are shown in the table to the right. Test at the 0.05 level of significance whether there is a relationship between parents' reaction to the course and the number of children they have in the school system. Poor Adequate Good 1 kid 48 55 57 2 kids 40 53 46 3+ kids 12 29 201. Metal Tags on Penguins and Length of Foraging Trips. Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. From a sample of 344 foraging trips for metal-tagged penguins, the mean length was 12.70 days. From a sample of 512 foraging trips for electronic-tagged penguins, mean length was 11.60 days. Test whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. a. State hypotheses in terms of two means. b. Calculate the sample statistic XM - XE c. An estimate of the standard error for this difference of means is SE-0.2834. Calculate a test statistic to two decimal places. d. What is the correct theoretical distribution for this test? ☐Normal ☐t with degrees of freedom e. Find the p-value and draw a…3. Dependent-samples t-test. A researcher wants to examine if play therapy can be an effective treatment for nightmares in children. Parents for a sample of 5-year-old children record each incident of a nightmare for 1 month before starting play therapy. After the start of play therapy, they continue to report each incident of a nightmare for another month. Do the data indicate a significant change in the number of nightmares? Test at the .05 level of significance Number of Nightmares 1 month during treatment 1 month before treatment 23 20 26 22 22 18 19 20 21 18 a. Conduct a complete hypothesis test b. Compute r? c. Give a full APA-style write up of your results
- For the folllwing two questions state the response variable and the explanatory variable 1.Is there a relationship between the final rating given by the customer and the number of exchanges during the conversation? If so, which of the exchange categories have significantly different mean ratings? 2. It is thought that having a relatively consistent length of message in any given conversation indicates a pattern of helpful, well-balanced communication. In fact, some new research suggests that to ensure a productive conversation the maximum message length should be no more than 8 words greater than the minimum message length in any conversation. Test whether the conversations in the sample meet the criteria suggested by this research study.5. In the United States, there is a strong relationship between education and smoking: well-educated people are less likely to smoke. Does a similar relationship hold in France? To find out, researchers recorded the level of education and smoking status of a random sample of 459 French men aged 20 to 60 years.36 The two-way table below displays the data. Is there convincing evidence of an association between smoking status and educational level among French men aged 20 to 60 years? Smoking Status Nonsmoker Former Moderate Heavy Primary School 56 54 41 36 Education Secondary School 37 43 27 32 University 53 28 36 16Three brands of bacon such as Poorfoods, Sweeps and COD are tested for a fat content with the following sample results: (step by step solution, without using excel) BRAND FAT CONTENT (%) TOTAL Poorfoods 40 43 40 40 43 206 Sweeps 41 42 35 38 34 190 COD 40 35 36 33 36 180 Perform the appropriate test procedure determining whether or not there are differences in the mean fat content of the three bacon brands at 5% level of significance. Ho: Ha: Decision Rule: Computation: ANOVA TABLE: Sources ofVariation Degrees of Freedom Sum of Squares Mean of Sum of Squares F-computed Decision: Conclusion:
- 3. Dentists make many people nervous. To assess any effect of such nervousness on blood pressure, the systolic blood pressure of 60 subjects was measured both in a dental setting and in a medical setting (The Effect of the Dental Setting on Blood Pressure Measurement," Amer. J. of Public Health, 1983:1210- 1214). For each subject, the difference between dental setting pressure and medical setting pressure was computed; the resulting sample mean difference and sample standard deviation of the differences were 4.47 and 8.77 mmHg, respectively. o (a) Estimate the true mean difference between blood pressures for these two settings using a 99% confidence level. o (b) Does it appear that the true mean pressure is different in a dental setting than in a medical setting? Explain your reasoning.46. For each scenario listed on the left, determine whether the scenario represents an (a)Independent or (b)Dependent Samples situation by placing the appropriate letter in the box provided. Comparing pain levels before and after treatment with magnetic therapy Comparing the number of speeding tickets received by men to the number received by women Comparing pre-test scores before training to post-test scores Comparing pain levels of a group receiving a placebo to a group receiving a medicine Independent Samples Dependent SamplesFish of Lake Laengelmaevesi. An article by J. Puranen of the Department of Statistics, University of Helsinki, discussed a classic study on several variables of seven different species of fish caught in Lake Laengelmaevesi, Finland. On theWeissStats site, we present the data on weight (in grams) and length (in centimeters) from the nose to the beginning of the tail for four of the seven species. Perform the required parts for both the weight and length data. a. Obtain individual normal probability plots and the standard deviations of the samples. b. Perform a residual analysis. c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so, also do parts (d) and (e). d. Use a one-way ANOVA test to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken. e. Interpret your results from part (d)
- Individual actions can play a large role in the overall health of our planet. A researcher interested in evaluating environment friendly behaviors evaluated how often people recycle (per month) based on whether they have an overall optimistic or an overall pessimistic attitude toward eco-friendly behaviors. The results from this hypothetical study are given in the table. Test whether or not recycling behaviors differed between groups using a .05 level of significance. State the value of the test statistics and the decision to retain or reject the null hypothesis. Compute effect size using eta- squared (n^2). Pessimistic Optimistic 3 4 0 9 4 6 2 8 1 9 6 5 3 6 5 8 0 6 5 735. Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 757 134.55 538 106.7 782 142.3 461 83.15 597 116.55 372 74.8 328 75.2 480 92 978 154.7 261 58.15 A student calculates a linear modely = x + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 849.Cost =$ (Please show your answer to 2 decimal places.)The milk yield from two breeds of goats, A and B, is categorised as low, medium or high. One hundred goats in a random sample are classified according to breed and milk yield. The results are summarised in the table below. i. Explain the difference between a test of independence and a test of homogeneity ii. Perform a chi squared test, at the 95% of significance level, to determine whether there is an association between the breed of goats and the milk yield.