Write the null and alternative hypothesis. You must use statistical notation to express the hypothesis 12345- 6978131âLA@2SDrivingA research team studied the relationship between light alcohol consumption anddriving when the driver is already sleep deprived. 62 men were recruited andasked to complete a simulated two-hour highway drive in the lab. They wererandomly assigned to two treatment groups. Each group has 31 men. In the firstgroup, the participants drank a glass of beer before driving. In the second group,the participants drank a glass of water before driving. The computer recordedhow many times a driver drifted out of the lane. The night before their visit to thelab, all 62 participants restricted their sleep time to no more than 5 hours.See below for the summary statistics of the data. Let X be the number of times a .driver drifts out of the lane during the simulated 2-hour highway drive. Let S bethe sample standard deviation of X.First treatment group1=32S₁-3.7W ...3XSecond treatment group€2=18xS$₂=2.9Use a hypothesis test at 0.05 significance level to answer the question: does lightalcohol consumption (having one glass of beer) have a negative impact on thedriving performance of a sleep-deprived driver? Assume that the conditions forhypothesis testing are met.commandF2HHome Lbartleby↑#3EDC20F3يی$544 {isذ6RLLFF4G:11:J. >%58cL06T ...F5GA10لBrYMacBook AirĴFOH87&28. UغNAdF7J!*o: W12ptE12pt8 A12ptWrite the null and alternative hypotheses. You must use the statistical notation(for example, p, u, etc.) to express the hypotheses.IDIIFBCompute the test statistic. Please show your work.→>> BIU A А -BIU A AParagraph(9K3:4ؤ MXSKNY9ParagraphParagraph)9C.<IDDFOH)OV6(.YPEΛ·commandAF10-Ixx₂=6fx..IN1てnalt{لالهاF11أىACLUY?optionxx₂ #E+ 11=NS11A UpdateCoJ)F1210delete

Hypothesis Testing: In many instances, a business researcher wants to test the differences in the…

Answered: ative hypothesis. You must use…

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Statistics

ative hypothesis. You must use statistical notation to expre

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
Treatment for Cocaine AddictionCocaine addiction is very hard to break. Even among addicts trying hard to break the addiction, relapse is common. (A relapse is when a person trying to break out of the addiction fails and uses cocaine again.) A study is conducted to investigate the effectiveness of two drugs, desipramine and lithium, in the treatment of cocaine addiction. The subjects in the six-week study were cocaine addicts seeking treatment. The 72 subjects were randomly assigned to one of three groups (desipramine, lithium, or a placebo, with 24 subjects in each group) and the study was double-blind. Now we are able to consider all three groups together and test whether relapse rate differs by drug. Ten of the subjects taking desipramine relapsed, 18 of those taking lithium relapsed, and 20 of those taking the placebo relapsed. (a) Create a two-way table from the information given. Relapse No relapse Total Desipramine ? ? ? Lithium ? ? ? Placebo ? ? ? Total ? ? ?…
Researchers want to investigate whether taking aspirin regularly reduces the risk of heart attack. Four hundred men between the ages of 50 and 84 are recruited as participants. The men are divided randomly into two groups: one group will take aspirin, and the other group will take a placebo. Each man takes one pill each day for three years, but he does not know whether he is taking aspirin or the placebo. At the end of the study, researchers count the number of men in each group who have had heart attacks. Identify the following values for this study: population, sample, experimental units, explanatory variable, response variable, treatments.
You want to find out whether caffeine mitigates the effect of alcohol on reaction time. To study this, you administer to your subjects a drink that is equivalent to three 12-ounce beers, followed by the equivalent of two cups of coffee. Then your subjects complete a simulated driving task in which they must follow a fixed speed limit while driving on a straight road. Wind periodically and randomly pushes the simulated vehicle right, left, or not at all. Speed is measured in miles per hour above or below the 60-mph speed limit, with 1 mph being the smallest unit on the scale. Suppose the first subject scores 5 mph. Determine the real limits of 5. 1)The lower real limit is: 2)The upper real limit is: When measuring weight on a scale that is accurate to the nearest 0.1 pound, what are the real limits for the weight of 120 pounds? a)119.75–120.25 b)120–121 c)119.95–120.05 When measuring weight on a scale that is accurate to the nearest…
A pharmaceutical company conducts an experiment to test the effect of a new cholesterol medication. The company selects 15 subjects randomly from a larger population. Each subject is randomly assigned to one of three treatment groups. Within each treatment group, subjects receive a different dose of the new medication. In Group 1, subjects receive 0 mg/day; in Group 2, 50 mg/day; and in Group 3, 100 mg/day. After 30 days, doctors measure the cholesterol level of each subject. The results for all 15 subjects appear in the table below: Dosage Group 1 Group 2 Group 3 O mg 50 mg 100 mg 210 210 180 240 240 210 270 250 220 270 270 210 300 270 240 (a) Perform an appropriate test to test whether there are differences among the mean cholesterol level by three different doses of the new medication at 5% level of significance. (b) Compute the p-value and indicate whether it leads to the same conclusion.
Cholera, a serious intestinal disease, broke out in London in the mid-19th century. Research by a physician named John Snow indicated that the disease was caused by germs in polluted water. A vaccine for cholera was then developed in the late 1800s. A vaccine is a drug that helps a person become immune to a disease. Scientists studied 818 people to determine the effects of a cholera vaccine. The study lasted from 1894 to 1896. Infected Not Infected Vaccinated 3 276 Not Vaccinated 66 473 Use the information in the table to complete the following four statements. Round to the nearest tenth of a percent. (a) % of those vaccinated were infected. Round to one decimal place.
An oil company plans to add a chemical to its gasoline to make it burn more cleanly. The company conducts an experiment to see whether adding the chemical affects the gasoline mileage of cars using their gasoline. State the null hypothesis for the experiment. Adding the chemical increases gas mileage. Adding the chemical does not affect gasoline mileage. Adding the chemical affects gasoline mileage. Adding the chemical decreases gasoline mileage.
Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Treatment Group Healthy Tasty 5 8 7 Hunger Rating No Snack 3 4 4 4 1 4 2 7 3 6 2 5 6 5 5 4 7 5 2 3 4 6 4 4 Sample Mean 5.6667 3.4444 4.2222 Sample…
Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). TreatmentGroup Hunger Rating SampleMean SampleStandardDeviation Healthy 5 8 7 4 7 3 4 7 6 5.6667 1.7321 Tasty 4 1 5 2 6 2 5 3 4 3.5556…
Researchers investigated the possible beneficial effect on heart health of drinking black tea and whether adding milk to the tea reduces any possible benefit. Twenty-four volunteers were randomly assigned to one of three groups. Every day for a month, participants in group 1 drank two cups of hot black tea without milk, participants in group 2 drank two cups of hot black tea with milk, and participants in group 3 drank two cups of hot water but no tea. At the end of the month, the researchers measured the change in each of the participants’ heart health. Did the researchers conduct an experiment or an observational study? Explain. Why did the researchers include a group who drank hot water but no tea? Is it reasonable to generalize the results of the study beyond the 24 participants? Explain why or why not.
In order to determine whether a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below. PatientsCured PatientsNot Cured Received medication 70 10 Received sugar pills 20 50 We are interested in determining whether the medication was effective in curing the common cold.
A study is run to evaluate the effectiveness of an exercise program in reducing systolic Ate blood pressure in patients with pre-hypertension. A total of 15 patients with pre- 12 hypertension enrolled in the study, and their systolic blood pressures are measured. Each patient then participated in an exercise training program where they learned proper techniques and execution of a series of exercises. Patients were instructed to do the exercise program three times per week for six weeks. After six weeks, systolic blood pressures were again measured, and data were recorded. This study sought to determine if there is a difference in systolic blood pressures after participating in the exercise program as compared to before. What is the most appropriate statistical test to be used to answer the research objectives? a. Spearman Correlation Coefficient b. Pearson Correlation Coefficient c. Wilcoxon Signed Ranks Test d. Mann-Whitney U Test