after checking the hypothesis tests, please explain briefly how you should proceed given the result of recent hypothesis tests and what the owner
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after checking the hypothesis tests, please explain briefly how you should proceed given the result of recent hypothesis tests and what the owner should do
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- How can we know that the sample size of A is less than B? The sample size of both is not stated in the problem. Thanks!Suppose you are to design an experiment for the following problems, identify the independent variable(IV), dependent variable (DV), two to three constant factors and the possible control (NEGATIVE OR POSITIVE) to be used in the experiment. 4. What is the effect of the amount of time spent on social media on a person’s anxiety level?Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________ 5. Do rice plants grow faster in saline water compared to pure water? Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________ Example: 1. Does the type of glue affects…A company has two chemist, Mr. Morris and Mr. Logan to produce their drinks. Mr. John, their boss, is not pleased with Mr. Logan’s attitude to work, so he is contemplating firing Mr. Logan andkeeping Mr. Morris only to perform this job. The problem, however, is that Mr. Logan seems to produce a higher quality drink whenever he oversees production when compared to Mr. Morris. Before making a final decision, Mr. John decided to collect data measuring the quality of different batches ofdrinks produced by Mr. Morris and Mr. Logan to make a better-informeddecision. The results, measured on a quality scale, are listed below: Name Average Standard Deviation Sample Size Mr. Logan 98 1 8 Mr. Morris 94 4 10 a) Based on this data above, advise Mr. John whether Mr. Logan isbetter at making the signature sauce than Mr. Morris by usinghypothesis testing – use the critical value approach with a level ofsignificance at 5%.
- Suppose we take a sample of 2,500 blood donors from a population for which 50% (0.5) have type O+ blood. (a) Into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule? to (b) If the sample included only 625 donors instead of 2,500, would the range of possible sample proportions be wider, more narrow, or the same as with a sample of 2,500 donors? Explain your answer, and explain why it makes intuitive sense. The range would be with 625 donors compared to a sample of 2,500 donors since the standard deviation of the sampling distribution would be . This makes intuitive sense because if fewer donors are included in the sample, the proportion will be reliable as an estimate of the proportion.The main trial in problem 7 is conducted and involves a total of 200 patients. Patients are enrolled and randomized to receive either the experimental medication or the placebo. The data shown below is collected at the end of the study after 6 weeks on the assigned treatment. Test if there is a significant difference in the proportions of hypertensive patients between groups using a=0.05A researcher wants to know why individuals in Community A have a higher rate of a rare form of cancer when compared to those living in Community B. To find out the reasons for the differences in cancer rates in these two communities, the investigator surveyed residents about their lifestyle, noted the types of businesses that were present in the community and searched medical records. The researcher found that the headquarters for the Toxico Chemical Plant is located in Community A, there is a higher rate of cigarette smoking in this community and residents tended to delay or skip going to the doctor for an annual checkup. In Community B, the largest employer was a department store and on average, residents did not smoke as much as residents from Community A. However, like individuals from Community A, Community B residents tended to delay or skip their annual checkup with their doctor. 1. What makes this a descriptive study?
- Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.The management of BCD Inc. would like to separate the fixed and variable components of electricity as measured against machine hours in one of its plants. Data collected over the most recent six months follow:Electricity MachineMonth Cost Hours January $1,100 4,500February 1,110 4,700March 1,050 4,100April 1,200 5,000May 1,060 4,000June 1,120 4,600Required: 1. Using the method of least squares, compute the fixed cost and the variable cost rate for electricity expense. (Round estimates to the nearest cent.) 2. Compute coefficients of correlation and determinationA company claims that its brand of dish detergent, A, is more effective than a competitor’s brand, B. Fifty dirty dishes are randomly selected and randomly divided into two groups. In one group, each dirty dish will be placed in a container of hot water with Brand A detergent and in the other group, each dirty dish will be placed in a container of hot water with Brand B detergent. The dishes will sit for two hours, and then the cleanliness of the dishes will be measured using a scale of 1–10 (1 = least clean to 10 = most clean). The difference in mean cleanliness ratings for the two detergents (A – B) will then be calculated. What is the appropriate inference procedure?
- What are the advantages of conducting experiments with more than two groups or conditions?A company is testing a new drug and wants to determine what is the most effective dose in reducing the size of cancerous tumors. The company randomly select a sample of 32 individuals and randomly assigns them into 4 groups of 8 each. One group get 5mg of drug x, a second group get 10mg, a third group gets 15 mg, and the fourth group gets 20mg. After two months the company finds the average size of the tumors to be 40mm, 37mm, 26mm, and 12mm for each group, respectively. (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?