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- 7. Gravetter/Wallnau/Forzano, Essentials - Chapter 12 - End-of-chapter question 10 The following summary table presents the results from an ANOVA comparing five treatment conditions with n = 5 participants in each condition. Complete all missing values. (Hint: Start with the df column.) Source SS df MS F Between treatments 125 Within treatments Total 1500A quality-control technician collects a random sample of 10 rivets from each of four different suppliers and subjects them to a shear strength test to failure 1. The dependent variable in this scenario is quantitative. (enter T for true or F for false) ____ 2. The independent variable in this scenario is quantitative. (enter T for true or F for false) _____ 3. To run an ANOVA analysis in for this scenario, what is the sample size? _____You want to conduct a test to determine whether there are significant differences in the mean impurity levels for polymers produced with three different catalysts. Which statistical test is appropriate for this scenario? Select one: a. paired t test b. one-sample t test c. one-way ANOVA d. two-sample t test
- Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?1.To determine which of the two models above – BIG or small – is statistically superior at the .05 level, please calculate the appropriate F-statistic (4 decimal places). 2. How many degrees of freedom are there?Do the following:1)State the null and alternate hypothesis.2)Draw a picture of regions of rejection and non-rejection, and find critical value.3)Calculate a test statistic.4)Make a decision whether or not to reject thenull hypothesis.
- As a researcher for the EPA, you have been asked to determine if the air quality in the UnitedStates has changed over the past 2 years. You select a random sample of 10 metropolitan areasand find the number of days each year that the areas failed to meet acceptable air quality Based on the data, answer the following questions.1. What is the purpose of the study?2. Are the samples independent or dependent?3. What hypotheses would you use?4. What is (are) the critical value(s) that you would use?5. What statistical test would you use?6. How many degrees of freedom are there?7. What is your conclusion?8. Could an independent means test have been used?9. Do you think this was a good way to answer the original question?For all students enrolled during the previous Spring semester, it was found that 48% of all those students enrolled utilized the services of the English Study Skills Center (ESSC). This numerical measure would be considered a: A) Parameter B) Statistic3) A firm in Lebanon has developed a chemical solution that can be added to car gasolinewhich they believe will increase the miles per gallon that cars will get. The owners areinterested in estimating the difference between mean mpg for cars using the chemicalsolution versus those that are not using the solution. The following data represent the mpgfor independent random samples of cars from each population.with Solution without Solution______________________________n1 = 36 n2 = 42 x1 = 25.45 x2 = 24.1 _______________________________Assume that the populations are normally distributed and the population standarddeviations are known to be σ1 = 3.95 (with solution) and σ2 = 3.09 (without solution).Given this data, can the owners believe that there is a difference between mean mpg forcars using the chemical solution versus those that are not using the solution? Test using analpha level equal to 0.05.4) Given the following null and alternative hypothesis:H0: σ 2 ≤ 52HA : σ 2 > 52and the…
- The worker on examining his 20 rainfall sample points concluded that it is more than likely to rain on this May 1st. Describe two or three statistical steps he took to arrive at this conclusion.A study comparing three different treatment conditions is summarized below. Is there a significant difference between any of the treatment groups? Evaluate at the .05 significance level. Show all calculations. Treatment 1: n = 10 T = 10 SS = 27 Treatment 2: n = 10 T = 20 SS = 16 Treatment 3: n = 10 T = 30 SS = 23 N = 30 G = 60 capital sigma space X squared space equals space 206 · State the null and alternate hypotheses · Identify the critical F value · Calculate: SS (total, within, between) df (total, within, between) MS (within, between) F · State your conclusion about the null hypothesis. · What percentage of variance is explained by treatment condition?The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?