Concept explainers
Critical Thinking:
Do Male Symphony Conductors Really Live Longer?
Several media reports made the interesting observation that male symphony conductors live longer than other males.
John Amaral wrote in Awaken that orchestra conductors “live longer than almost any other group of people by three to seven years.” Robert Levine wrote in Polyphonic.org that they live longer “because they stand up while working.” Some provided other explanations for this phenomenon, often referring to cardiovascular activity. But do male symphony conductors really live longer than other groups of males? The Internet can be researched for possible answers. Let’s also consider the following.
3. Without any disabilities, males qualify for Medicare if they are 65 or older and meet a few other requirements. If we compare life spans of males on Medicare to life spans of males randomly selected from the general population, why would we find that males on Medicare have longer life spans?
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ESSENTIALS OF STATISTICS 6TH ED W/MYSTA
- You may need to use the appropriate appendix table or technology to answer this question. Advertisers contract with internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unforțunately, click fraud-the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue–has become a problem. Businessweek reports that 4C percent of advertisers claim they have been a victim of click fraud. Suppose a simple random sample of 390 advertisers will be taken to learn more about how they are affected by this practice. (Round your answers to four decimal places.) (a) What is the probability that the sample proportion will be within ±0.04 of the population proportion experiencing click fraud? (b) What is the probability that the sample proportion will be greater than 0.45?arrow_forwardA researcher is interested in studying whether exercising can influence creativity. She measures participant’s creativity in a problem solving task before and after exercising. She expects that creativity will increase after exercise. What is the alternative hypothesis for scenarioarrow_forwardA certain allergen affects approximately 3 people per 10,000 in the United States. Assuming the U.S. population is approximately 326 million people, how many people suffer from this allergen? (See Example 4 in this section.)arrow_forward
- The results of a recent study show that the proportion of people in the western United States who use seat belts when riding in a car or truckis under 84%. You want to support this claim.arrow_forwardHealthy Sleep Duration. The Centers for Disease Control and Prevention (CDC) define a healthy sleep duration to be at least seven hours per day. The CDC reports that the percentage of people who report a healthy sleep duration varies by marital status. The CDC also reports that in 2018, 67% of those who are married report a healthy sleep duration; 62% of those who have never been married report a healthy sleep duration; and 56% of those who are divorced, widowed, or separated report a healthy sleep duration. The file SleepHabits contains sample data on the sleeping habits of people who have never been married that are consistent with the CDC’s findings. Use these data to answer the following questions. Develop a point estimate and a 95% confidence interval for the proportion of those who have never been married who report a healthy sleep duration. Develop a point estimate and a 95% confidence interval for the mean number of hours of sleep for those who have never been married. For…arrow_forwardThe proportion of individuals in the United States who reported being “very happy” in 2014 was 0.911. In a recent survey of 1,225 US adults, 88.2% reported being “very happy.” Has the proportion of US adults who are “very happy” changed significantly?arrow_forward
- Opinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, and the number of PFCs purchased per week. PFC Spending 2 13.88 7 39.11 4 19.79 1 9.84 3 15.43 1 21.52 5 37.39 3 13.85 Calculate the slope and y-intercept for the regression formula. The slope is b1=4.465 The y-intercept is b0=6.840 Provide an interpretation for the value of the slope. Because the slope is positive, it can be…arrow_forwardOpinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, y, and the number of PFCs purchased, x, per week. PFC Spending 1 13.17 8 38.65 3 19.49 2 9.56 4 15.85 1 21.82 5 37.53 3 13.69 α=0.05 t= 3.07 p-value= 0.022 Construct a 95% confidence interval for the population slope. UCL = 6.69 LCL = 0.75 What conclusions about PFC purchases and spending can be drawn from these…arrow_forwardOpinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, and the number of PFCs purchased per week. PFC Spending 2 13.88 7 39.11 4 19.79 1 9.84 3 15.43 1 21.52 5 37.39 3 13.85 Calculate the slope and y-intercept for the regression formula. The slope is b1=(Round to three decimal places as needed.)arrow_forward
- Opinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, and the number of PFCs purchased per week. PFC Spending 2 13.88 7 39.11 4 19.79 1 9.84 3 15.43 1 21.52 5 37.39 3 13.85 The slope is b1=4.465 The y-intercept is b0=6.840 Because the slope is positive, it can be concluded that one extra PFC purchase per week will increase the average amount of spending per week by 4.46 dollars. Predict…arrow_forwardA health researcher studying child birth is interested in the possible effect that smoking by the mother during pregnancy has on the baby's birth weight. To investigate, the researcher conducts an observational study by reviewing 400 records of women in their twenties who have recently given birth for the first time. For each record, he notes whether or not the woman smoked during pregnancy and the baby's birth weight, in addition to the woman's education level, and age. From the data, the researcher creates two groups: women in their twenties who smoked during pregnancy and women in their twenties who did not smoke during pregnancy. Then he compares the average birth weight between the two groups. (a)Why might the researcher have chosen to perform an observational study (by gathering information from past records) and not a randomized experiment (by assigning pregnant women to either the smoking or nonsmoking group at random)? Choose the best answer from the choices below. In a…arrow_forwardSusan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. Their scores follow: Group test scores 1) constant sound 7 4 6 8 6 6 2 9 2) random sound 5 5 3 4 4 7 2 2 3) no sound 2 4 7 1 2 1 5 5 Calculate the Between-Subject One-Way ANOVA, make sure you include all the steps and show your calculations. Determine if you need a post hoc analysis, if so, complete the post-hoc analysis Interpret the results of your statistical…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill