### Peak Heart Rate Data AnalysisPeak heart rate (beats per minute) was determined both during a shuttle run and during a 300-yard run for a sample of \( n = 10 \) individuals with Down syndrome. This study was documented in "Heart Rate Responses to Two Field Exercise Tests by Adolescents and Young Adults with Down Syndrome," Adapted Physical Activity Quarterly [1995: 43–51], resulting in the following data:#### Data- **Shuttle Run:** - 168, 168, 188, 172, 184, 176, 192, 172, 188, 180- **300-Yard Run:** - 184, 192, 200, 192, 188, 180, 182, 188, 196, 196#### Questions1. **Scatterplot Construction:** - Construct a scatterplot of the data. - Analyze what the scatterplot suggests about the nature of the relationship between the two variables (shuttle run peak rate and 300-yard peak rate).2. **Correlation Calculation (Part a):** - Let \( x \) represent the shuttle run peak rate and \( y \) the 300-yard run peak rate. - Calculate the correlation coefficient \( r \). - Determine if the value of \( r \) is consistent with insights from the scatterplot.3. **Correlation Comparison (Part b):** - Let \( x \) represent the 300-yard peak rate and \( y \) the shuttle run peak rate. - Compare how the value of \( r \) differs from the calculation in Part (a).#### Explanation of Accompanying Graphs/Diagrams- **Scatterplot:** - This graph visually represents the relationship between the two peak heart rates for each individual. Each point corresponds to one pair of shuttle and 300-yard run peak heart rates. The pattern or trend shown by the points can suggest correlation strength and direction.To interpret the scatterplot and calculate the correlation, use statistical software or a calculator capable of statistical functions.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concerned about the initial monitoring data, the environmental action group decides to continue to monitor the plant, and try to gather more evidence for their case. A random sample of twenty-six hours is selected over a period of a week. The observations (gallons of wastewater discharged per hour) are 1036 1047 996 1052 1136 1131 958 1058 1087 1146 1111 1040 884 997 1130 994 963 1127 1136 1126 The output of a statistical analysis software on this dataset is shown below N Mean Std. Dev. 26 1081 89.6 Reading the output, we find that • The sample size is n = • The sample mean is a • The sample standard deviation is s = • From this we can calculate the standard error to be SE Note that the observed sample mean is is greater than 1000 gallons per hour. This could mean that the plant is discharging more wastewater than they promised, or the plant could be in compliance, and the large numbers were due to sampling variability. To see if this is the case, we will test the hypothesis that u…
In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decima
A study is performed to assess the prevalence of use of anti-hypertensive medication (MEDS) in the non-institutionalized U.S. population. The following data are reported for MEDS status of the U.S. population by age-sex group: Table 1 Estimated MEDS Status of the U.S. Population by age and sex group, NHANES study 1999-2018 Males Females Age Group MEDS = yes Na Age Group MEDS = yes Na 18-29 160,617 23,069,867 18-29 168,940 22,132,949 30-39 899,152 18,690,754 30-39 759,532 18,937,878 40-49 2,264,304 18,316,125 40-49 2,257,203 18,816,304 50-59 3,215,688 15,022,905 50-59 4,059,363 15,997,653 60-69 2,936,183 8,400,156 60-69 4,260,975 10,993,805 70-79 1,677,664 4,012,930 70-79 2,953,646 6,012,728 aN = total sample size in specific age-sex groups. a. What is the prevalence of use of MEDS in 40-49 year-old females? b. Suppose a married couple consists…
The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…
The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random sample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months): 21 46 49 48 53 46 30 51 42 52 A USE SALT (i) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.) X = months months (ii) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance. What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: H = 48; H,: H # 48 O Ho: p = 48; H,: p # 48 O Ho: p = 48; H: p > 48 O H: H = 48; H,: µ 48 (b) What sampling distribution will you use? What assumptions…
The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Yds/Att WinPct 5.7 26 Arizona Cardinals Atlanta Falcons Carolina Panthers 7.6 67 7.3 52 6.9 51 Chicago Bears Dallas Cowboys 5.1 17 8.6 82 New England Patriots Philadelphia Eagles Seattle Seahawks 5.3 21 6.6 41 St. Louis Rams 6.5 41 Tampa Bay Buccaneers. 6.1 38 a. Choose the correct a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. B. A. WinPct WinPct 80 DD J F1 70- 60- 50+ -40- 30 20- F2 80 F3 000 000 F4 F5 80- -70 60- 50- 40- 30- 20- S F6 ● - F7 DII F8 F9 F10 () F11 <))) F12 A
Denny studied factors affecting cardiovascular reactivity to a postural change in a sample of healthy men and women. Change in systolic blood pressure (SBP) from supine to standing position was used as the measure of cardiac reactivity in a sample of 842 adults. Supine measurement of blood pressure was taken after participants had lain on an examination table for 15 minutes. Blood pressure was determined every 30 seconds using a Dinamap device for 2 minutes, and the measurements were averaged. Participants then stood up immediately, and additional measurements were made for another 2 minutes. Below is a table describing the characteristics of Denny’s sample: Which measures of dispersion, if any, are presented in this table (Ranges, SDs)? If age is normally distributed, approximately what percent of the sample would be younger than 50? If BMI is normally distributed, approximately what percent of the sample would have a BMI higher than 33.1?
Question [2] A manager at a power company monitored the employee time required to process high efficiency lamp bulb rebates. A random sample of 49 applications gave a sample mean time of 4.0 minutes and a standard deviation of 1.0 minute. Construct a point estimate for the population mean time u to process mean u, and give its 80% error margin.
A researcher was interested in comparing the resting pulse rate of people who exercise regularly and people who do not exercise regularly. Independent random samples of 16 people aged 30-40 who do not exercise regularly (sample 1) and 12 people aged 30-40 who do exercise regularly (sample 2) were selected and the resting pulse rate of each person was measured. The summary statistics are as follows: Pulse Rate data Group 1 (no exercise) Group 2 (exercise) average 72.7 69.7 standard deviation 10.9 8.2 sample size 16 12 Test the claim that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly, use 0.01 as the significance level. Round you answer to 3 decimal places. Group of answer choices p-value=0.207, evidence not support claim p-value=0.267, evidence support claim p-value=0.414, evidence not support claim p-value=0.793, evidence not support claim p-value=0.207, evidence…
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atients suffering from rheumatic diseases or osteoporosis often suffer critical losses in bone mineral density (BMD). Alendronate is one medication prescribed to build or prevent further loss of BMD. Holcomb and Rothenberg (A-3) looked at 96 women taking alendronate to determine if a difference existed in the mean percent change in BMD among five different primary diagnosis classifications. Group 1 patients were diagnosed with rheumatoid arthritis (RA). Group 2 patients were a mixed collection of patients with diseases including lupus, Wegener’s granulomatosis and polyarteritis, and other vasculitic diseases (LUPUS). Group 3 patients had polymyalgia rheumatica or temporal arthritis (PMRTA). Group 4 patients had osteoarthritis (OA) and group 5 patients had osteoporosis (O) with no other rheumatic diseases identified in the medical record. Changes in BMD are shown in the following table. Discuss the Alendronate medication data in terms of variability. To determine if a difference…

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