Quality dog food requires a necessary amount of protein to promote healthy functions.   The industry standard requires at least 25% protein in the food to be considered "high quality".    The local humane society had a large quantiy of two brands of dog food donated recently. Brand A dog food contains 30% protein and Brand B contains 22% protein. Each week the humane society need to create a 185 lb mixture of food to feed the shelter dogs. How much of each brand should they mix together to create a high-quality mixture consisting of 25% protein?    lbs of Brand A  lbs of Brand B

A small coffee shop sells freshly squeezed juices in a refrigerated unit with slots where juice is displayed. These slots are called facings. The manager of the coffee shop suspects that the distribution of juice sales is different than the distribution of facings for each type of juice, so the manager records the sales of each juice over a two-week period. The proportion of facings and the sales for each type of juice are shown in the tables.  Does the coffee shop owner have sufficient evidence to conclude that the distribution of sales is proportional to the number of facings at a 5 percent level of significance? Conduct the appropriate statistical test to support your conclusion.

A researcher hypothesized that cytokinins and auxins supplied by tumor-inducing insects lead to the production of tumors in plants. She performed experiments in which she hypodermically injected green pepper plants to determine if she could induce tumors. In one experiment she varied the concentration of cytokinin and the ratio of auxin concentration to cytokinin concentration. She used 3 concentrations of cytokinin and 6 ratios of auxin/cytokinin. The concentrations are indexed (1-3) with 3 indicating the highest concentration of cytokinin. The 6 ratios of auxin/cytokinin varied from 0.125 to 5.0 with values greater than 1 indicating that auxin was in greater concentration than cytokinin. The resulting data are in the date file "auxcyt.csv". The measured sizes of the tumors induced (relative to controls) are given in the 3rd column ('sumdiffd'). Analyze these data testing the appropriate hypotheses and interpret the results. (Note the unequal sample sizes.) auxcyt data…

While trying to create the perfect breakfast for your children, you have determined that EXACTLY 22 grams of protein, 38 grams of carbohydrates, and 8.5 grams of fat send your kids to school in the best possible mood. Serving the following three items, how much of each should you serve to achieve your nutritional goals? Honey Nut Cheerios© nutritional data (per 0.75 cup serving) Calories 105 Sugar 9 grams Fat 1.5 grams Carbohydrates 22 grams Protein 2 grams Quaker Oatmeal© nutritional data (per 1 packet serving) Calories 170 Sugar 12 grams Fat 2 grams Carbohydrates 32 grams Protein 4 grams The last piece of their meal is uncured turkey bacon nutritional data (per 1 slice). Calories 40 Sugar 0 grams Fat 2 grams Carbohydrates 0 grams Protein 6 grams You have determined you should serve servings of cereal, servings of oatmeal, and servings of turkey bacon in order to serve your kids the food they like and meet your nutritional goals.

1 cup of diced apples weighs 4 oz. Apples have a yield % of 78% . How many pounds of apples must you purchase to produce 10 cups of apples?

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A researcher working at Hershey's is interested in comparing two new chocolate bars: Chocolate Bar A versus Chocolate Bar B. The researcher expects the bars to be different in how much customers will eat per month. The researcher believes the more candy bars someone eats will indicate which one tastes the best. An experiment is designed to compare the two new bars. The number of candy bars eaten by one group of 8 people in a month is measured with Candy Bar A and then the number of candy bars eaten in the same month by another group of 8 participants is measured with Candy Bar B. Use the data below to determine if there is a difference in the consumption of the two candy bars. Candy Bar A Candy Bar B Number of Candy Bars eaten within a month 10, 30, 5, 35, 60, 3, 20, 30, 28, 27, 26, 27, 17, 25 12, 20 With a = .05, determine the critical value of t* that needs to be employed here. The value of the appropriate of t* is: 2.145 O 1.717 2.064 2.819 2.074 O The correct answer is not listed.

A study was developed to evaluate effectiveness of a weight loss diet plan. An ad was placed in two towns to locate study participants who were to follow the diet. In Town A, the clinicians asked each dieter to report how much weight they had lost over the previous 6 weeks while following the diet. In Town B, the clinicians weighed each dieter at the beginning of the study and again after 6 weeks on the diet program. The weight lost was calculated as the difference between the beginning weight and the weight after 6 weeks. At the end of the study, it was determined that Town B had lost significantly less weight than Town A. 1.What is the population of interest in this situation? 2. Identify source(s) of bias in this study.

An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?

A biologist gathered the following information about deer populations in a national park area.   Juvenile (age ≤ 2 years) Adult (age > 2 years) Total Male 23 171 194 Female 112 935 1044 Total 135 1103 1238 The biologist made the calculation shown below. Which question was she trying to answer? 23 ÷ 194   a. What percentage of the male deer are juveniles?   b. What percentage of the juvenile deer are males?   c. What percentage of the total deer are juvenile males?   d. What percentage of the total deer are males?