A study was conducted to assess the impact of nutrient enrichment on zooplankton densities in A & B Islands. An ecologist sampled populations of zooplankton in these two locations and observed the nutrient enrichment level was higher in A island when compared with the level in B island. It is predicted the zooplankton densities in A island will be greater than those found in B island.
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A study was conducted to assess the impact of nutrient enrichment on zooplankton densities in A & B Islands. An ecologist sampled populations of zooplankton in these two locations and observed the nutrient enrichment level was higher in A island when compared with the level in B island. It is predicted the zooplankton densities in A island will be greater than those found in B island.
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- A clinician interested in agoraphobia (fear of public places) tests a new treatment method. She samples five agoraphobics from her clinic and has them report how many times they ventured out of their houses (on their own) in the past month. They then received relaxation training and were introduced to trips away from their homes at gradually increasing durations. After 2 months, subjects again reported how many times they ventured (on their own) out of their houses. The data are below. Assess whether there is a significant change in trips outside the home from before to after therapy. a. Report and interpret an effect size b. what type of error might you be making?A mutual fund is a professionally managed investmentscheme that pools money from many investorsand invests in a variety of securities. Growth fundsfocus primarily on increasing the value of investments,whereas blended funds seek a balance betweencurrent income and growth. Here is data on theexpense ratio (expenses as a % of assets, from www.morningstar.com) for samples of 20 large-cap balancedfunds and 20 large-cap growth funds (“largecap”refers to the sizes of companies in which thefunds invest; the population sizes are 825 and 762,respectively):Bl 1.03 1.23 1.10 1.64 1.301.27 1.25 0.78 1.05 0.640.94 2.86 1.05 0.75 0.090.79 1.61 1.26 0.93 0.84Gr 0.52 1.06 1.26 2.17 1.550.99 1.10 1.07 1.81 2.050.91 0.79 1.39 0.62 1.521.02 1.10 1.78 1.01 1.15 a. Calculate and compare the values of x, x , , and s forthe two types of funds.b. Construct a comparative boxplot for the two types offunds, and comment on interesting features.A large food chain owns a number of pharmacies that operate in a variety of settings. Some are situated in small towns and are open for only 8 hours a day, 5 days per week. Others are located in shopping malls and are open for longer hours. The analysts on the corporate staff would like to develop a model to show how a store's revenues depend on the number of hours that it is open. They have collected the following information from a sample of stores. Hours of Operation Average Revenue (S) 40 5958 44 6662 48 6004 48 6011 60 7250 70 8632 72 6964 90 11097 100 9107 168 11498 a) Use a linear function (e.g., y = ax + b; where a and b are parameters to optimize) to represent the relationship between revenue and operating hours and find the values of the parameters using the nonlinear solver that provide the best fit to the given data. What revenue does your model predict for 120 hours? b) Suggest a two-parameter nonlinear model (e.g., y = at where a and b are parameters to optimize) for the…
- The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…A team of government researchers would like to determine whether a new tax on cigarettes has any effect on people’s smoking behavior. Specifically, they are expecting that by increasing the price of cigarettes, people’s will buy fewer packs of cigarettes (ultimately leading to decreases in cigarette smoking). During the year before the tax was imposed, stores located in rest areas on the state highways reported selling an average of µ = 410 packs per day. The distribution of daily sales was approximately normal. For a random sample of n = 25 days during the first year following the new tax, the researchers found an average of x̅= 380 packs per day for the same stores, with a standard deviation of s = 60. Is the sample mean sufficient to conclude that there was a significant decrease in cigarette purchases after the new tax? Use a one-tailed test with α = .01.People with chronic airflow obstruction are believed to have a limited exercise tolerance. This limited tolerance is thought to be mainly due to impaired ventilation mechanics. In a study designed to measure the effect (if any) that a new treatment had on the exercise capacities of individuals with chronic airflow obstruction, investigators measured, among other things, maximum exercise ventilation (VEmax) before and after the treatment was applied. The raw VEmax data are reproduced in the table below. The investigators would like to determine if there was an increase in the maximum exercise volume as a result of the treatment. Let ? = 0.025. Baseline 20.6 18.8 20.7 20.1 21.2 22.7 22.3 22.9 19.0 After Treatment 21.9 20.9 20.9 21.3 22.8 27.1 23.3 18.7 25.4 Diff 1.3 2.1 0.2 1.2 1.6 4.4 1 -4.2 6.4 E) The test statistic for this data set is F) The P-value for this study is:
- Fiske Corporation manufactures a popular regional brand of kitchen utensils. The design and variety has been fairly constant over the last three years. The managers at Fiske are planning for some changes in the product line next year, but first they want to understand better the relation between activity and factory costs as experienced with the current products. Discussions with the plant supervisor suggest that overhead seems to vary with labor-hours, machine-hours, or both. The following data were collected from last three year's operations: Quarter Machine-Hours 18,850 4 5 6 7 8 9 10 11 12 18,590 17,480 19,240 21,280 19,630 19,240 18,850 18,460 20,670 17,550 18,460 Labor-Hours 15,605 15,484 16,727 15,990 17,508 17,376 15,297 14,373 16,001 17,002 14,285 17,651 Factory costs $ 3,395,671 3,425,836 3,617,844 3,573,940 3,812,984 3,778,012 3,532,426 3,369,802 3,513, 187 3,731,434 3,325,615 3,724,486 Required: Prepare a scatter graph based on the factory cost and labor-hour data. Note: 1.…A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct symbolic notation for the alternative hypothesis. A. H0: µ1 = µ2 B. HA: µ1 ≠ µ2 ≠ µ3 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.
- 1 (part 1). Does When Food Is Eaten Affect Weight Gain?A study was introduced that examined the effect of light at night on weight gain in mice. In the full study of 27 mice over a four-week period, the mice who had a light on at night gained significantly more weight than the mice with darkness at night, despite eating the same number of calories and exercising the same amount. Researchers noticed that the mice with light at night ate a greater percentage of their calories during the day (when mice are supposed to be sleeping). The computer output shown below allows us to examine the relationship between percent of calories eaten during the day, DayPct, and body mass gain in grams, BMGain. A scatterplot with regression line is also shown below (attached image).Pearson correlation of BMGain and DayPct =0.740P-Value =0.000--------------------------------------------------------------The regression equation isBMGain=1.11+0.127DayPct Predictor Coef SE Coef T P Constant 1.113 1.382…A headline on a news website stated “Sheep with a varied diet grew faster and produced less pollutants, new study finds.” The article reports that scientists using pregnant sheep that were twin-bearing to test how diet affected the lambs. When the twin lambs were born, one lamb was put on a typical rye grass diet, while the other was given a variety of feeds, including chicory, plantain, red clover and lucerne. The impact was huge, with the lambs given a variety of feeds seeing a 100 per cent increase in growth, excreted less nitrogen into the environment and had an improved well-being.Describe in one or two sentences what is the explanatory variable and what are the response variables mentioned in this study.