11:36 AM Thu Feb 3A 56%K Chapter 3 Averages and Variation AssignmentHomeInsertDrawLayoutReviewViewGaramond12В IaAA1. Astudy was conducted on the life of Duracell batteries and on the life of Energizerbatteries. The study found that a sample of 10 Duracell batteries had a mean life inhours of 26.2 with a standard de viation of 4.1 hours and a range of 24 hours. There sults for a sample of 10 Energizer batteries were as follows (in hours):15181923252528303438(a) Find the mean, median and mode for the Energizer batteries.med = 25 mean = 26.5 made = 25(b) Find the variance and standard de via tion for the Energizer sample.(c) Find the range for the Energizer sample.(d) Which batteries have a more uniform life in hours? Why?2. Arandom sample of receipts for individuals eating at the Terrace Restaurant showedx = $10.39 with sample standard deviation s =$2.15.Use Chebyshev's The orem to find the smallest interval centered on the mean inwhich we can expect at le ast 88.9%of the data to fall.OkayI'mB I U3.58tabQEYPdelete%23&caps lockADFHJKreturn?shiftXCVBNshift.?123.?123# S

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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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A hypertension trial is mounted, and 12 participants are randomly assigned to receive either a new medication or a placebo. Each participant takes the assigned medication, and the participants’ SBP is recorded after 6 months on the assigned medication. The data are shown in Table 7–9. Is there a difference in mean SBP between treatments? Run the appropriate test at a = 0.05. Placebo New Medication 134 114 143 117 148 121 142 124 150 122 160 128
Fire load (MJ/m2) is the heat energy that could be released per square meter of floor area by combustion of contents and the structure itself. The article “Fire Loads In Office Buildings” (J. of Structural Enter., 1997: 365-368) gave the following cumulative percentages (read from a graph) for lire loads in a sample of 388 rooms: a. Construct a relative frequency histogram and comment on interesting features.b. What proportion of fire loads are less than 600? At least 1200?c. What proportion of the loads are between 600 and 1200?
A study was undertaken to determine whether there was a significant weight (in lb) loss after one year course of therapy for diabetes, and whether the amount of weight (in lb) loss was related to initial weight. The following table gives the initial weight (x) and weight after one year of therapy (y) for 16 newly diagnosed adult diabetic patients. a. Is a one-sided or two sided test needed here? b. What is the mean weight for each time period? c. What is the standard deviation for each time period? d. Which statistical test is appropriate to use on these data? e. Carry out the hypothesis test(s) in question in above d. Use α=0.01 f. Are the means statistically different? g. Find the 99% confidence interval for the difference of the two means on weight. Interpret your finding.
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. N Mean StDev SE Mean Men Women 95% Cl for mu Men - mu Women - 9.81, - 0.79) T-Test mu Men = mu Women (vs H2 Oc. Họ: H1 = H2; Hai H1
A researcher hypothesizes that different colors of cars result in different average speeds. To test this claim, she took a random sample of 20 people who own 4 different colors of colors of cars (n = 20, N = 80, G = 4), and she then tracks their average speed on the highway for a week of driving. The following ANOVA table has some of her results. Please help her answer her research questions by completing the following ANOVA table below and answering the follow-up questions. Be sure to label your answers with the appropriate letter and show all your work! Source Sums of Squares df Mean Square F Effect (between) Error (within) 100.90 ------ Total 170.10 ------- ------ a) What is the Sums of Squares (SS) between (effect)? b) What are the Mean Square (MS) between (effect) and the MS within (error)? c) What are the degrees of freedom (df) between, the df within, and the df total? d) What is the overall F-statistic? e) Based on the…
An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0 parts per million (ppm) as unhealthy and that the distribution of the population of crows was Normally distributed. The lead levels of a random sample of 23 crows in the region were measured and recorded. The mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm. a. Construct and interpret a 90 percent confidence interval for the mean lead level of crows in the region.
An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0 parts per million (ppm) as unhealthy and that the distribution of the population of crows was Normally distributed. The lead levels of a random sample of 23 crows in the region were measured and recorded. The mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm. B.A previous study of crows showed that the population standard deviation was at 2.6 ppm. What minimum sample size would be required to construct a 90 percent confidence interval to have a margin of error within 0.03?
3.34 Body Mass Index. Your body mass index (BMI) is your weight in kilograms divided by the square of your height in meters. Many online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of overweight or obesity. A study by the National Center for Health Statistics found that the BMI of 2-year-old American male children is approximately Normally distributed, with mean 16.8 and standard deviation 1.9.2 a. What percentage of 2-year-old American male children have a BMI less than 15.0? b. What percentage of 2-year-old American male children have a BMI less than 18.5?
A sample from a Normal population of n=6 observations yields an Xbar=100 and an s=20. What is the 90% CI for the mean?
In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject. Patient Cholesterol Level (mmol/l) Triglyceride level (mmol/l) 1 5.12 2.30 2 6.18 2.54 3 6.77 2.95 4 6.65 3.77 5 6.36 4.18 6 5.90 5.31 7 5.48 5.53 8 6.02 8.83 9 10.34 9.48 10 8.51 14.20 a. Construct a two-way scatter plot for these data. b. Use STATA to calculate Pearson’s Correlation Coefficient for these data. c. Test, α = 0.05, whether or not the population correlation, ρ, equals 0.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 59 men and 73 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. SE Mean 1.5 1.7 SIDev 11.2 Mean 112.7 Men Women 99% CI for mu Men - mu Women -11.89, 0.09) T-Test mu Men mu Women (vs<) T= -2.61 P=0.0051 DF 129 59 73 118.6 14.8 Two sample T for Men vs Women State the researcher's condlusion. Which of the following is correct? O A Reject Ha, there is sufficient evidence to condlude that the mean step pulse of men was less than the mean step pulse of women the mean step pulse of women O B. Reject Ha, there is not sufficient evidence to condlude that the mean step pulse of men was less OC. Fail to reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean steg pulse of women O D.…

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