Method of Inference Quiz

Quiz by Katie Gunzenhauser

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15 questions
• Q1
A random sample of 49 medical doctors in LA showed that they worked an average of 53.1 hours/week with a standard deviation of 7.2 hours/week. If the California average is 60 hours/week, does this give evidence that the LA doctors work significantly less than the rest of California?
1-Sample t Test
2-Sample t Test
1-Sample t Interval
1-Prop z Test
30s
• Q2
USA Today reported that in 1992, 39% of all elementary school children claimed that when they grow up they want to do something to help other people. However, in 1995, 128 of a random sample of 317 of these same children claimed that when they grow up they want to do something to help other people. Does this information indicate that there has been an attitude change either way?
1-Prop z Test
1-Prop z Interval
1-Sample t Test
2-Prop z Test
30s
• Q3
In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, “People should take care of themselves”. Then in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement. Does this indicate that the proportion of U.S. adults who strongly agree with the given statement has dropped?
2-Prop z Interval
2-Sample t Test
2-Prop z Test
2-Sample t Interval
30s
• Q4
A statistics professor has been teaching first and second semester statistics for five years. She wants to know if the grades in her first semester classes differ significantly from those of her second semester classes. She takes a random sample of final grades from her two most recent first and second semester classes and gets these data: 1st Sem: 89, 98, 78, 86, 95, 83, 90, 87, 85, 80, 96, 93, 90, 91, 81, 87, 93, 90, 87, 88 2ndSem: 87, 85, 89, 78, 79, 77, 82, 90, 91, 93, 88, 87, 86, 83, 85, 81, 90, 86, 86, 84 Is there convincing evidence that first semester grades and second semester grades differ significantly?
2-Proportion z Test
2-Proportion z Interval
2-Sample t Test
2-Sample t Interval
30s
• Q5
A large company has two shifts---a day shift and a night shift. Parts produced by the two shifts must meet the same specifications. The manager of the company believes that there is a difference in the proportions of parts produced within specifications by the two shifts. To investigate this belief, random samples of parts that were produced on each of these shifts were selected. For the day shift, 188 of its 200 selected parts met specifications. For the night shift, 180 of its 200 selected parts met specifications. Use a 95 percent confidence interval to estimate the difference in the proportions of parts produced within specifications by the two shifts.
2-Prop z Interval
1-Prop z test
1-Prop z Interval
2-Prop z test
30s
• Q6
Which brand of AA batteries last longer—Duracell or Eveready?
2-Sample t Test
2-Sample t Interval
2-Prop z Interval
2-Prop z Test
30s
• Q7
What percent of Annapolis High students have a Twitter account?
1-Prop z Interval
1-Prop z test
1-Sample t Interval
1-Sample t Test
30s
• Q8
How long do teens typically spend brushing their teeth, per day?
1-Prop z Interval
1-Prop z Test
1-Sample t Test
1-Sample t Interval
30s
• Q9
Tumbleweed, commonly found in the western United States, is the dried structure of certain plants that are blown by the wind. Kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. Scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. In 2014, 19.7 percent of 61 randomly selected kochia plants were resistant to glyphosate. In 2017, 38.5 percent of 52 randomly selected kochia plants were resistant to glyphosate. Do the data provide convincing statistical evidence, at the level of a=0.05, that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate?
1-Prop z Test
2-Prop z Test
2-Sample t Interval
2-Prop z Interval
30s
• Q10
Which method of inference?
2-Prop z Test
2-Sample t Test
2-Sample t Interval
2-Prop z Interval
30s
• Q11
The manager of a local fast-food restaurant is concerned about customers who ask for a water cup when placing an order but fill the cup with a soft drink from the beverage fountain instead of filling the cup with water. The manager selected a random sample of 80 customers who asked for a water cup when placing an order and found that 23 of those customers filled the cup with a soft drink from the beverage fountain. Construct and interpret a 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain.
1-Prop z Test
1-Prop z Interval
2-Prop z Interval
1-Sample t Interval
30s
• Q12
A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer. As part of the study, 1,000 adult volunteers were randomly assigned to one of two groups. Half of the volunteers were assigned to the experimental group that took a low-dose aspirin each day, and the other half were assigned to the control group that took a placebo each day. At the end of six years,15 of the people who took the low-dose aspirin had developed colon cancer and 26 of the people who took the placebo had developed colon cancer. At the significance level 0.05, do the data provide convincing statistical evidence that taking a low-dose aspirin each day would reduce the chance of developing colon cancer among all people similar to the volunteers
2-Prop z Test
2-Sample t Interval
1-Prop z Test
2-Prop z Interval
30s
• Q13
A survey organization conducted telephone interviews in December 2008 in which 1,009 randomly selected adults in the United States responded to the following question: "At the present time, do you think television commercials are an effective way to promote a new product? " Of the 1,009 adults surveyed, 676 responded “yes.” In December 2007, 622 of 1,020 randomly selected adults in the United States had responded “yes” to the same question. Do the data provide convincing evidence that the proportion of adults in the United States who would respond “yes” to the question changed from December 2007 to December 2008 ?
2-Sample t Interval
2-Sample t Test
2-Prop z Test
2-Prop z Interval
30s
• Q14
2-Prop z Test
2-Sample t Interval
2-Sample t Test
2-Prop z Interval
30s
• Q15
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine.
1-Prop z Test
2-Prop z Interval
2-Prop z Test
1-Prop z Interval
30s

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