An engineer believes that by employing robots instead of humans for certain jobs in the manufacturing of USB sticks, the average number of faults may be reduced. The average number of bad drives per 1000 people is 18. State the alternative hypothesis.
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- A low resting heart rate can mean a high degree of physical fitness, which is associated with reducedrates of cardiac events like heart attacks. By working out regularly in the gym, the heart becomes moreefficient, pumping the lowest amount of blood one needs when in a relaxed state. Normal resting heartrate for adults ranges from 60 to 100 beats per minute but a well-trained athlete can have a normal restingheart rate as low as 40 beats per minute. Dr. Castillejo wants to know if her gym members have attainedthis average resting heart rate of athletes. Use the R commander output below to address Dr. Castillejo’sconcern . Write a brief report about the analysis by identifying the set of hypotheses to be tested, theappropriate test to use, and implications and recommendations of/from the conclusions.A firm produces articles of which 0.1 percent are usually defective. It packs them in cases each containing 500 articles. If a wholesaler purchases 100 such cases, how many cases are expected to be free of defective items and how many are expected to contain one defective item?To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger th average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1,000s) 22 Itemized Deductions ($1,000s) 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 120 19.7 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 • 10 5 Itemized Deductions ($1,000s) 0 20 40 60 80 100 120 Adjusted Gross Income ($1,000s) 140 30 25 20 15 10 5. Itemized Deductions ($1,000s) 30 25 20 15 10 • 15 • 10 5- 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100…
- Is Homework Truly Beneficial? Two decades ago, researchers believed that homework had a negative impact on students’ physical and emotional health, yet students are still bogged down with hours of homework as early as the second grade. According to research by several universities, elementary students spend an average of 3 hours a week doing homework. The same studies revealed that the average high school student spends over 22 hours a week on homework. In fact, students today spend more than double the time on homework than students two decades ago. Sadly, as time spent on homework doubles, student performance continues to decline. So, how then is homework helping? Homework is harmful and not the key to student success. 2 Select the correct answer. How does the writer introduce the claim? A. by using research to set the context for the argument against homework B. by telling a short personal story about her struggles with homework C. by comparing…A car company conducts crash tests of its new airbag system to evaluate its safety. One hundred cars are run into a solid concrete barrier at a speed of 35 miles per hour, and the chest compression of a crash test dummy is measured each time. They hope that the average compression if the test were repeated over and over (which we could think of as the population) would be about 2 inches, corresponding to an injury that would be painful but not fatal. In the hundred tests, the average chest compression in the crash test dummies was 2.1 inches, with an SD of 0.2 inches.(a) State the null and alternative hypotheses in terms of the problem.(b) What kind of box model will we use for this problem? A 0-1 box, or a box with other values on the tickets?(c) State the null and alternative hypotheses in terms of the box model (d) Compute the z test statistic and the p-value, using the sample average as your statistic as you compute z (e) What do you conclude?Please answer all parts of the question, thank you
- The world bank reports that one. 7% of the US population lives unless than two dollars per day. A policy maker claims that this number is misleading because of variations from state to state and rural to urban. To investigate that she takes a random sample of 100 households in Atlanta to compare with the national average and finds at two. One percent of the Atlanta population live on less than two dollars per day. Select the Noel an eternity of hypothesis to test weather Atlanta differ significantly from the national percentage.31% of American adults surveyed stated that giving up their phone for a day would be more difficult that giving up their significant other. In 2012, the United States population over the the age 18 was approximately 240,210,000. According to recent research from the pew foundation, 91% of all Americans adults have cell phones of some type. Use the statistics given to determine the approximate number of American adults who would find giving up their phone more difficult than giving up their partner. (Round to the nearest whole number as needed)An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance xx 2 5 4 4 4 6 Days yy 4 21 29 40 47 49 Use a calculator or software to find the following values. (a) Find the mean and standard deviation of xx. MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of yy. MEAN: STANDARD DEVIATION: (c) Find the correlation rr between xx and yy. r:
