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## Compute the Correct Critical Value for The Problem Math Questions

Order ID# 45178248544XXTG457Plagiarism Level: 0-0.5%Writer Classification: PhD competentStyle: APA/MLA/Harvard/ChicagoDelivery: Minimum 3 HoursRevision: PermittedSources: 4-6Course Level: Masters/University CollegeGuarantee Status: 96-99%

InstructionsCompute the Correct Critical Value for The Problem Math Questions

MTH 250 PROJECT Due by 5/11/2021

Please answer all of the following questions. Be neat, show your work, use full sentences and explain your answers. Please professionally present your project. Use Excel to create your graphs. You can work with a partner if you want. If you plan to work with a partner, you must let me know at least a week before the project’s due date. If you work with a partner, you can turn in just one project. Please do your own work, and do not copy anyone elses project. If you have trouble obtaining the data, let me know. PART 1: M&Ms For this part of the project, you will need to obtain a bag of M&Ms and count how many M&Ms there are of each color. (If you dont want to do M&Ms you could do Skittles, or count how many of each type of nut are in a container of mixed nuts. If you have another similar idea that you would like to do, let me know so I can approve it) 1. What is the variable we are studying? Is this variable quantitative or qualitative? If the variable is quantitative, is it continuous or discrete? 2. Create a frequency distribution for the number of M&Ms of each color. 3. Create a relative frequency distribution for the number of M&Ms of each color. 4. What is the mode? 5. Create a graph to display this data. Make sure your graph is labeled appropriately. (You can select the type of graph you think is appropriate) PART 2: Cereal For this part of the project, you should go to the grocery store (or online store..) and look at the nutrition facts for many different boxes of cereal. I would recommend collecting data on at least 20 types of cereal. For each cereal please make a table of the following data: (If the cereal lists nutrition information for being served with milk, please just use the nutrition information for plain cereal.) Name of Cereal Grams of Total Carbohydrates Grams of Fiber Please include the table with your project. For each of these two variables: 1. Is the variable qualitative or quantitative? If the variable is quantitative, is it continuous or discrete? 2. Find the mean, median, sample standard deviation, and IQR. Find the five-number summary. 3. Calculate whether there are any outliers. If there are outliers, explain how you could tell these values are outliers. If there are no outliers, explain how you decided there are no outliers. 4. Create a histogram. (You can group data in classes) Make sure your graph is labeled appropriately. 5. Create a boxplot. 6. Looking at the histogram and/or boxplot, what shape would you say that the data has? (If the shape is kind of awkward, thats okay. Give your best analysis of it.) 7. If you had to report on the typical amount of carbohydrates and the typical amount of fiber in a serving of cereal, what measure of the center would you use for each one? Why? Two more problems: 8. A high-fiber cereal boasts that it contains 20 g of fiber. A low-carb cereal has just 14g of carbohydrates. Use the means and standard deviations you calculated to find a z-score for each cereal of these cereals. Based on these z-scores, which cereal is more exceptional? 9. For this problem, choose whichever of the variables was approximately bell-shaped. If both were bell-shaped, choose either one; If neither one is bell-shaped choose the closest one to bell-shaped and we will pretend it was bell-shaped. Use empirical rule to state the values that approximately 68%, 95%, and 99.7% of cereals would fall between. Part III: Confidence Interval This part of your project will be to construct confidence intervals and perform hypothesis tests without using the calculator to do all the work. Also, you must be able to interpret your results. Please round answers to 3 decimal places. Not Allowed: Do not use anything in the STAT > > TESTS menu Allowed: You can use 1-Var Stats. 10. Confidence Interval In a study of maximal aerobic capacity, 12 women had their blood plasma volume measured. The following data is their blood plasma volumes in liters. 3.75 2.89 2.70 3.12 2.61 3.85 2.96 3.87 3.15 2.96 3.52 3.12 a. Calculate the mean and sample standard deviation of the womens blood plasma volume. (You can use 1-Var Stats on your calculator) b. We want to find a 90% confidence interval. What is the critical value ????/??? Explain how you found it. c. Construct a 90% confidence interval for the mean womens blood plasma volume by using the formula. Show your work. d. Write a sentence to interpret the confidence interval that you constructed. e. We would like to redo this study with better accuracy. We would like the margin of error to be no more than 0.1 liters. What sample size should we use for our new study? Part IV: Hypothesis 11. Hypothesis Test The ToothBright Toothpaste Company claims that 4 out of 5 dentists (80% of dentists) recommend their toothpaste to patients. You think that the proportion of dentists who recommend ToothBright is less than that, so you contact 100 randomly selected dentists across the country to ask if they recommend ToothBright toothpaste to their patients, and 71 of them said yes. Perform your hypothesis test at the ?=.05 level of significance. a. State the null and alternative hypotheses. b. Calculate the test statistic. Show your work. c. What is the correct critical value (or values) for the problem? Explain how you found it. d. Mark the Critical Value(s) and the Test Statistic on the curve. Also, indicate clearly which area is the critical region. e. Is your test statistic in the critical region? f. Are you going to reject or fail to reject the null hypothesis? How did you decide? g. State your conclusion. (without using words like reject and hypothesis)

RUBRIC

Excellent Quality95-100%

Introduction45-41 points

The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

Literature Support91-84 points

The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

Methodology58-53 points

Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.

Average Score50-85%

40-38 points

More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.

83-76 points

Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.

52-49 points

Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.

Poor Quality0-45%

37-1 points

The background and/or significance are missing. No search history information is provided.

75-1 points

Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.

48-1 points

There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met

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Compute the Correct Critical Value for The Problem Math Questions

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