Question No. 03: A real estate developer is considering investing in a shopping mall on theoutskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of particular importanceis the income in the area surrounding the proposed mall. A random sample of four families isselected near each proposed mall. Following are the sample results. At the .05 significance level,can the developer conclude there is a difference in the mean income? Use the usual six-stephypothesis testing procedure.Southwyck Area($000)TTTFranklin ParkOld Orchard($000)($000)647475687180706976607078

In order to determine whether there is significant difference in the mean incomes of families in the…

Answered: Question No. 03: A real estate…

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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The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 438 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 20 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 3.4%? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
Example: Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 480 were in favor and 394 were opposed. A politician claims that people don’t really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician’s claim? Following the hypothesis test steps, let’s first identify the claim and the null and alternative hypotheses: For this example, the original claim is that the proportion of the subjects who responded in favor is equal to 0.5 (half – since the politician compared their responses as equivalent to a coin toss). The symbolic form of the politician’s claim can be expressed as p = 0.5. Also notice…
B. A sample data has a distribution that has a single mode and is strongly positively skewed. An analyst computes three measures of location for this data; the mean, the median and mode. (i) State the largest of these three location measures. (ii) Suggest, with a reason, which would be the best measure of location.
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.1 %. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 424 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 19 report now being married. Does this evidence support Annie's claim, at the 0.01 level of significance, that the chances of getting married for this group is greater than 3.1 % ? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 39% of them plan to go into general practice. You wish to conduct a significance test to evaluate the school's claim.
If a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected? A. 0.0367 B. 0.0501 C. 0.100 D. 0.299
Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Guilty Plea Not Guilty Plea Sent to Prison 418 48 Not Sent to Prison 558 43
2. Jim Miller works in the personnel department for a car company. He is told by his supervisor to investigate the difference in the average number of sick days between blue collar workers and whitecollar workers. So he obtained a random sample of 9 blue collar workers and a random sample of 9 white collar workers. He records the results below.At 10% level of significance, is there sufficient evidence to indicate a difference in mean sick days between blue collar workers and white collar workers.
A professor wanted to determine if the GPAS of students at Saddleback College are less consistent than the GPAS of students at Irvine Valley College. To test this, he obtains random samples of students from both colleges and records their GPAS, which are given below. Test the professor's claim at the a=0.05 level of significance. Saddleback College Irvine Valley College 3.7 3.2 3.0 2.5 2.7 3.6 4.0 3.4 3.8 3.2 3.0 2.5 3.6 2.8 2.6 2.5 2.1 2.7 3.9 3.4 2.0 2.2 2.7 3.1 2.0 2.0 2.1 3.8 3.1 2.9 3.2 2.8 Calculator Function [ Select] [ Select] 2-PropZTest ANOVA X^2-Test T-Test 2-SampTTest 2-SampFTest [ Select] v sufficient evidence that the standard deviation of grades for Saddleback College students is [ Select] than the standard deviation for Irvine Valley College students.
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…
5. In a certain county, the local newspaper reports that the average family income for that county is $45,000. Economists at the university believe that first-time home buyers have an average family income which is higher than this. Which of the following hypotheses would be appropriate for a significance test? Ho: u= 45, 000 Ha: µ# 45, 000 b. H.: u= 45, 000 Ha: µ> 45, 000 H.: u= 45, 000 Ha: u 45, 000 Ha: u = 45, 000 a. C. е.

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