A community may be considered sociologically healthier the more variability there is in its housing values (up to a point). A major newspaper in one city investigated housing costs in several communities in its area and is running a story on its findings. For one of the communities, a random sample of 28 houses was examined, and the current market price of each house was determined. The newspaper published the following histogram summarizing these 28 prices:**Histogram Details:**- **Y-Axis (Frequency):** Represents the number of houses.- **X-Axis (Current market price in thousands of dollars):** Divided into four intervals: 80, 120, 160, 200, and 240.- **Bars:** - 80-120K: Frequency of 6 - 120-160K: Frequency of 6 - 160-200K: Frequency of 12 - 200-240K: Frequency of 4Based on this histogram, estimate the standard deviation of the sample of 28 prices.Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.

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Answered: A community may be considered…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the following data representing the price of plasma televisions (in dollars). 1260, 1355, 1156, 1297, 1054, 1225, 1375, 1244, 1281, 1138, 1368, 1075, 1373, 1126, 1067, 1285, 1119, 1209, 1150, 1208, 1284 Class 1034-1093 1094-1153 1154-1213 1214-1273 1274-1333 1334-1393 Frequency Price of Plasma Televisions (in Dollars) Class Boundaries Midpoint Step 5 of 7: Identify the midpoint of the fourth class. Relative Frequency Copy Data Cumulative Frequency
The Nielson Home Technology Report provided information about home technology and cell phone usage. The following data are the hours of daily cell phone usage for a random sample of college students. Hours of Relative Usage Frequency Frequency 0.0-> 2.9 5 3.0- 5.9 28 6.0- 8.9 8 9.0-> 11.9 6 12.0- 14.9 3 Find the relative frequency of college students who use their cell phone between 12.0 and 14.9 hours. a.0.30 b.0.12 Oc. 0.06 d.0.03
The Economist collects data each year on the price of a Big Mac in various countries around the world. The price of a Big Mac for a sample of McDonalds restaurants in Europe in May 2009 resulted in the following Big Mac prices (after conversion to U.S. dollars):3.80 5.89 4.92 3.88 2.65 5.57 6.39 3.24The mean price of a Big Mac in the U.S. in May 2009 was $3.57. For purposes of this exercise, assume it is reasonable to regard the sample as representative of European McDonalds restaurants. Does the sample provide convincing evidence that the mean May 2009 price of a Big Mac in Europe is greater than the reported U.S. price? Test the relevant hypotheses using a = .05. Assume a normal distribution of the data. x = Ho: μ = Ha: Select an answer α= P-value = |: S= Based on the above we choose Question Help: Post to foru Submit Question (Put in the correct symbol and value) ✓ Select an answer Reject the null hypothesis Fail to reject the null hypothesis
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below: Preferred Sport Football Baseball Basketball Tennis Other Total Girls 2 3 5 4 3 Boys 8 2 6 4 3 Total What is the marginal relative frequency of survey participants who prefer tennis?
The mean birthweight of an infant is thought to be associated with the smoking status of the mother during the first trimester of the pregnancy. Consider the following data from mothers divided into four categories according to smoking habits, and the corresponding birthweights of their children. Group 1: Mother is a non smoker (NON): 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6 Group 2: Mother is an ex-smoker (EX): 5.8, 7.3, 8.2, 7.1, 7.8 Group 3: Mother is a current smoker, smokes less than 1 pack per day (CUR < 1) 5.9, 6.2, 5.8, 4.7, 8.3, 7.2, 6.2 Group 4: Mother is a current smoker, smokes more than or equal to 1 pack per day (Cur ≥ 1) 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4 Using Stata test whether or not the mean birthweights are equal across all four groups at the alpha = 0.05 level. What is the corresponding p-value? O 0.0284 0.0137 O 0.05 O 0.737
In a study researching how donating to charity can affect a person's happiness, 96 participants were given $5 a day for one week. Each participant was randomly assigned to one of two groups. Those assigned to the first group were asked to spend the money on themselves, and those assigned to the second group were asked to donate the money to charity. At the end of the week, all of the participants were asked to rate their overall level of happiness on a scale from 0 to 100, with higher scores indicating greater levels of happiness. Which of the following are the appropriate null and alternative hypotheses to test whether the sample data provide convincing statistical evidence that donating to charity results in greater happiness than spending on oneself, on average? Ho self- "charity = 0 (A) Ha self charity >0 Ho self Mcharity=0 (B) Ha self charity 0 (E) Ha self = Mcharity <0
Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Movie Drama Science Fiction Comedy Column Total 18-23 yr 10 12 8 30 Person's Age 24-29 yr 11 10 10 31 30-35 уг 13 8. 11 32 Row Total 34 30 29 93 (a) What is the level of significance? State the null and alternate hypotheses. Ho: Age and movie preference are not independent. H7: Age and movie preference are independent. H,: Age and movie preference are not independent. H: Age and movie preference are not independent. • Ho: Age and movie preference are independent. H: Age and movie preference are not independent. O Ho: Age and movie preference are independent. H,: Age and movie preference are independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected…
Seattle Grace Medical Center. As part of a long-term study of individuals 65 years of age or older, doctors at the Seattle Grace Medical Center in Washington state investigated the relationship between state of residence and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Texas, 20 were residents of Washington state, and 20 were residents of South Carolina. Each of the individuals sampled was given a standardized test to measure depression. The data collected follow; higher test scores indicate higher levels of depression. These data are contained in the attached data file SeattleGrace1. A second part of the study considered the relationship between state of residence and depression for individuals 65 years of age or older who had a chronic health condition such as diabetes and/or high blood pressure. A sample of 60 individuals with such conditions was identified. Again, 20 were residents of Texas, 20 were residents…
Suppose you were to collect data for the following pair of variables, drivers: blood alcohol level, reaction time. You want to make a scatter plot. Which variable would you use as the explanatory variable? Blood alcohol or reaction time? Which variable would you use as the response variable? Blood alcohol or reaction time? Would you expect to see a positive or negative association? Or neither?
A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2626 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 10.4 pounds with a standard deviation of 2.6 pounds. The members of Group B had lost a mean of 11.7pounds with a standard deviation of 2.8 pounds during the same time period. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2 be…
Consider the following data representing the price of plasma televisions (in dollars). 1260, 1355, 1156, 1297, 1054, 1225, 1375, 1244, 1281, 1138, 1368, 1075, 1373, 1126, 1067, 1285, 1119, 1209, 1150, 1208, 1284 Class 1034-1093 1094-1153 1154-1213 1214-1273 1274-1333 1334-1393 Frequency Price of Plasma Televisions (in Dollars) Class Boundaries Midpoint Relative Frequency Copy Data Cumulative Frequency Step 6 of 7: Calculate the relative frequency of the third class. Determine your answer as a simplified fraction.
A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2). Using the difference data, with population 1– population 2, the sample mean difference was d = $870, and the sample standard deviation was s,= $1,125. (a) Formulate the null and alternative hype to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. 0> Prt :°H 0 = Pri :ºH O O Ho: Hdso H: H=0 (b) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) Can you conclude that the population…

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